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Towards Infrared Finite S-matrix in Quantum Field Theory

Towards Infrared Finite S-matrix in Quantum Field Theory

Hayato Hirai

Springer Verlag, Singapore
2021
sidottu
This book presents the better understanding of infrared structures of particle scattering processes in quantum electrodynamics (QED) in four-dimensional spacetime. An S-matrix is the fundamental quantity in scattering theory. However, if a theory involves massless particles, such as QED and gravity, the conventional S-matrix has not been well defined due to the infrared divergence, and infrared dynamics thus needs to be understood in-depth to figure out the S-matrix. The book begins with introducing fundamental nature of the charge conservation law associated with asymptotic symmetry, and explaining its relations to soft theorems and memory effect. Subsequently it looks into an appropriate asymptotic state of the S-matrix without infrared divergences. The Faddeev-Kulish dressed state is known as a candidate of such a state, and its gauge invariant condition and its relation to the asymptotic symmetry are discussed. It offers an important building blocks for constructing the S-matrix without infrared divergences.
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Towards Infrared Finite S-matrix in Quantum Field Theory

Towards Infrared Finite S-matrix in Quantum Field Theory

Hayato Hirai

SPRINGER VERLAG, SINGAPORE
2022
nidottu
This book presents the better understanding of infrared structures of particle scattering processes in quantum electrodynamics (QED) in four-dimensional spacetime. An S-matrix is the fundamental quantity in scattering theory. However, if a theory involves massless particles, such as QED and gravity, the conventional S-matrix has not been well defined due to the infrared divergence, and infrared dynamics thus needs to be understood in-depth to figure out the S-matrix. The book begins with introducing fundamental nature of the charge conservation law associated with asymptotic symmetry, and explaining its relations to soft theorems and memory effect. Subsequently it looks into an appropriate asymptotic state of the S-matrix without infrared divergences. The Faddeev-Kulish dressed state is known as a candidate of such a state, and its gauge invariant condition and its relation to the asymptotic symmetry are discussed. It offers an important building blocks for constructing the S-matrix without infrared divergences.
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Memory's Last Breath: Field Notes on My Dementia

Memory's Last Breath: Field Notes on My Dementia

Gerda Saunders

Grand Central Publishing
2018
nidottu
A courageous and singular book (Andrew Solomon), Memory's Last Breath is an unsparing, beautifully written memoir -- an intimate, revealing account of living with dementia (Shelf Awareness). Based on the field notes she keeps in her journal, Memory's Last Breath is Gerda Saunders' astonishing window into a life distorted by dementia. She writes about shopping trips cut short by unintentional shoplifting, car journeys derailed when she loses her bearings, and the embarrassment of forgetting what she has just said to a room of colleagues. Coping with the complications of losing short-term memory, Saunders, a former university professor, nonetheless embarks on a personal investigation of the brain and its mysteries, examining science and literature, and immersing herself in vivid memories of her childhood in South Africa. For anyone facing dementia, Saunders'] words are truly enlightening . . . Inspiring lessons about living and thriving with dementia. -- Maria Shriver, NBC's Today Show
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Solutions for Biot's Poroelastic Theory in Key Engineering Fields

Solutions for Biot's Poroelastic Theory in Key Engineering Fields

Yuanqiang Cai; Honglei Sun

Elsevier Science Publishing Co Inc
2017
nidottu
Solutions for Biot's Poroelastic Theory in Key Engineering Fields: Theory and Applications provides solutions related to soil-structure interactions based on a poroelasticity theory, including moving loads such as trains. This book provides the commonly used methods for solving Biot’s formulations and conclusions on fully-saturated soil dynamics. It presents various solution methods used in Biot’s theory, such as the integral transformation method, the wave potential decomposition method, the finite element, and the 2.5D finite element method. It is suitable for graduate students, researchers and engineers who are interested in the soil-structure interaction problem with Biot’s theory, as well as engineers in several subdisciplines.
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Weil's Conjecture for Function Fields

Weil's Conjecture for Function Fields

Dennis Gaitsgory; Jacob Lurie

Princeton University Press
2019
sidottu
A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil’s conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts the number of G-bundles on X (global information) in terms of the reduction of G at the points of X (local information). The goal of this book is to give a conceptual proof of Weil’s conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting l-adic sheaves. Using this theory, Dennis Gaitsgory and Jacob Lurie articulate a different local-to-global principle: a product formula that expresses the cohomology of the moduli stack of G-bundles (a global object) as a tensor product of local factors.Using a version of the Grothendieck-Lefschetz trace formula, Gaitsgory and Lurie show that this product formula implies Weil’s conjecture. The proof of the product formula will appear in a sequel volume.
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Weil's Conjecture for Function Fields

Weil's Conjecture for Function Fields

Dennis Gaitsgory; Jacob Lurie

Princeton University Press
2019
pokkari
A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil’s conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts the number of G-bundles on X (global information) in terms of the reduction of G at the points of X (local information). The goal of this book is to give a conceptual proof of Weil’s conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting l-adic sheaves. Using this theory, Dennis Gaitsgory and Jacob Lurie articulate a different local-to-global principle: a product formula that expresses the cohomology of the moduli stack of G-bundles (a global object) as a tensor product of local factors.Using a version of the Grothendieck-Lefschetz trace formula, Gaitsgory and Lurie show that this product formula implies Weil’s conjecture. The proof of the product formula will appear in a sequel volume.
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Foucault’s Strata and Fields

Foucault’s Strata and Fields

Maren Kusch

Springer
1991
sidottu
In recent years, a large number of books and articles on Foucault has been published. Almost all of the book-size studies are expository and introductory. Indeed, there seems to be no other modern philosopher with reference to whom a comparable numberofintroductionshavebeen produced in such a short period. Most ofthe articles too provide over- views, rather than critical assessments or rational reconstructions, even though there existsby now a small numberoffine papers also inthe two latter genres. Moreover, more often than not, writers on Foucault approach his work as part and parcel of so-called "postmodern" philo- sophy. They concentrate on topics like the "death of the subject", the relation ofFoucault's work to.Derrida or Habermas, or its significance for postmodern art and culture. Without wanting to deny the merits, either of introductory exposi- tions, or ofstudies that read Foucault as a postmodern thinker, it seems to me that these received perspectives have tended to leave central areas and aspects ofFoucault's work somewhat underexposed. As I see it, the most important of these areas are such as would suggest reading Fou- cault from the vantage point of recent developments in the philosophy, sociology and history of science.
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Fieldwork Educator’s Guide to Level II Fieldwork

Fieldwork Educator’s Guide to Level II Fieldwork

Elizabeth DeIuliis; Debra Hanson

TAYLOR FRANCIS LTD
2024
sidottu
A new, comprehensive resource for fieldwork educators and academic fieldwork coordinators, Fieldwork Educator’s Guide to Level II Fieldwork provides a blueprint for designing, implementing, and managing Level II fieldwork programs for occupational therapy and occupational therapy assistant students across practice settings.Drawing from the expertise of renowned individuals in the field, Drs. Elizabeth D. DeIuliis and Debra Hanson provide the tools for fieldwork educators and academic fieldwork coordinators to put together learning frameworks, educational theories, and clinical instructional techniques within and outside occupational therapy in order to create and maintain high-quality Level II learning experiences. Fieldwork Educator’s Guide to Level II Fieldwork challenges fieldwork educators and academic fieldwork coordinators to shift their mindset to facilitating skill acquisition and to adjust their teaching approach to match the learning needs and developmental level of the student.Designed to meet the definition of Level II fieldwork according to the 2018 Accreditation Council for Occupational Therapy Education standards, and in response to common pitfalls and challenges in clinical education today, Fieldwork Educator’s Guide to Level II Fieldwork is the go-to guide for the busy practitioner and academic fieldwork coordinator.What is included in Fieldwork Educator’s Guide to Level II Fieldwork:Expansive overviews of supervision models and vignettes illustrating use across practice settingsExamples and templates to construct a learning plan, site-specific learning objectives, orientation, weekly schedules, and learning contractsTools and strategies to uniquely develop and foster clinical reasoning in fieldworkModels for dually approaching supervision and mentorshipStrategies for addressing unique student learning and supervision needsFieldwork Educator’s Guide to Level II Fieldwork can be used as a standalone resource or as a complement to Fieldwork Educator’s Guide to Level I Fieldwork, which was designed in-tandem with this text to holistically address Levels I and II fieldwork education.
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Fieldwork Educator’s Guide to Level I Fieldwork

Fieldwork Educator’s Guide to Level I Fieldwork

Debra Hanson; Elizabeth DeIuliis

TAYLOR FRANCIS LTD
2024
sidottu
A new resource for occupational therapy academic fieldwork coordinators and fieldwork educators, Fieldwork Educator's Guide to Level I Fieldwork is a practical guide for faculty and clinicians to design and implement Level I fieldwork experiences for occupational therapy and occupational therapy assistant students.Fieldwork Educator's Guide to Level I Fieldwork was designed to address the challenges of integrating Level I fieldwork with classroom learning experiences. Expansive and versatile, the book meets the recently expanded definition of Level I fieldwork according to the 2018 Accreditation Council for Occupational Therapy Education standards, including faculty-led experiences, standardized patients, simulation, and supervision by a fieldwork educator in a practice environment.Each unit of the text builds upon the previous unit. The first unit provides fundamental knowledge on experiential learning and includes an orientation to the purpose of Level I fieldwork in occupational therapy. Building on this foundation, the second unit equips the reader with resources to develop a Level I fieldwork learning plan suitable for their setting. The final units focus on situational scenarios that emerge during Level I fieldwork placements and provides a framework for assessing student learning during Level I fieldwork. While each chapter is designed to build upon one another, they also can be used as stand-alone resources depending on the needs of the reader.What is included in Fieldwork Educator’s Guide to Level I Fieldwork:Up-to-date terminologyExperiential learning frameworks and models in diverse contexts, including role emerging and simulationStrategies for addressing anxiety and student stress management and supporting students with disabilitiesModels to support clinical reasoning development during Level I fieldworkMechanisms to foster student professional development and communication skillsBe sure to also look into the successive textbook, Fieldwork Educator’s Guide to Level II Fieldwork, which was designed in-tandem with this book to be a progressive resource that exclusively focuses on Level II fieldwork.
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Einstein's Theory of Unified Fields

Einstein's Theory of Unified Fields

Marie Antoinette Tonnelat

Routledge
2014
sidottu
First published in1966, here is presented a comprehensive overview of one of the most elusive scientific speculations by the pre-eminent genius of the 20th century. The theory is viewed by some scientists with deep suspicion, by others with optimism, but all agree that it represents an extreme challenge. As the author herself affirms, this work is not intended to be a complete treatise or ‘didactic exposition’ of the theory of unified fields, but rather a tool for further study, both by students and professional physicists. Dealing with all the major areas of research which together comprise the development of a working model, the author ranges over conservation equations, variational principles, solutions of spherical symmetry, and treats a wide selection of Einstein’s own equations. The final chapter indicates problems associated with the unified field theory, in particular the energy-momentum tensor and geodesics.
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Bourdieu's Theory of Social Fields

Bourdieu's Theory of Social Fields

Routledge
2014
sidottu
Bourdieu’s theory of social fields is one of his key contributions to social sciences and humanities. However, it has never been subjected to genuine critical examination. This book fills that gap and offers a clear and wide-ranging introduction to the theory. It includes a critical discussion of its methodology and relevance in different subject areas in the social sciences and humanities.Part I "theoretical investigations" offers a theoretical account of the theory, while also identifying some of its limitations and discussing several strategies to overcome them. Part II "Education, culture and organization" presents the theory at work and highlights its advantages and disadvantages. The focus in Part III devoted to "The State" is on the formation and evolution of the State and public policy in different contexts. The chapters show the usefulness of field theory in describing, explaining and understanding the functioning of the State at different stages in its historical trajectory including its recent redefinition with the advent of the neoliberal age. A last chapter outlines a postcolonial use of the theory of fields.
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Bourdieu's Theory of Social Fields

Bourdieu's Theory of Social Fields

Routledge
2015
nidottu
Bourdieu’s theory of social fields is one of his key contributions to social sciences and humanities. However, it has never been subjected to genuine critical examination. This book fills that gap and offers a clear and wide-ranging introduction to the theory. It includes a critical discussion of its methodology and relevance in different subject areas in the social sciences and humanities.Part I "theoretical investigations" offers a theoretical account of the theory, while also identifying some of its limitations and discussing several strategies to overcome them. Part II "Education, culture and organization" presents the theory at work and highlights its advantages and disadvantages. The focus in Part III devoted to "The State" is on the formation and evolution of the State and public policy in different contexts. The chapters show the usefulness of field theory in describing, explaining and understanding the functioning of the State at different stages in its historical trajectory including its recent redefinition with the advent of the neoliberal age. A last chapter outlines a postcolonial use of the theory of fields.
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Einstein's Theory of Unified Fields

Einstein's Theory of Unified Fields

Marie Antoinette Tonnelat

Routledge
2015
nidottu
First published in1966, here is presented a comprehensive overview of one of the most elusive scientific speculations by the pre-eminent genius of the 20th century. The theory is viewed by some scientists with deep suspicion, by others with optimism, but all agree that it represents an extreme challenge. As the author herself affirms, this work is not intended to be a complete treatise or ‘didactic exposition’ of the theory of unified fields, but rather a tool for further study, both by students and professional physicists. Dealing with all the major areas of research which together comprise the development of a working model, the author ranges over conservation equations, variational principles, solutions of spherical symmetry, and treats a wide selection of Einstein’s own equations. The final chapter indicates problems associated with the unified field theory, in particular the energy-momentum tensor and geodesics.
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Xenophon's Memorabilia and The Apology of Socrates translated by Sarah Fielding

Xenophon's Memorabilia and The Apology of Socrates translated by Sarah Fielding

Gorgias Press
2016
sidottu
Sarah Fielding (1710-1768), the younger sister of Henry Fielding, and the close friend of his literary rival Samuel Richardson, was one of the very few English women to master ancient languages like Latin and Greek. With the help of Shaftesbury's nephew, James Harris, a distinguished writer, scholar and grammarian, she embarked on the ambitious project of translating Xenophon's Memorabilia and the Apology of Socrates from the Greek. This work, titled Memoirs of Socrates, with the Defence of Socrates before his Judges, was finally released in 1762. She proved a discreet editor and a talented Hellenist, whose elegant style garnered praise from Tobias Smollett in his Critical Review. This superb translation is re-published in its entirety for the first time since the 18th century.
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