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Covariant Operator Formalism Of Gauge Theories And Quantum Gravity


Covariant Operator Formalism Of Gauge Theories And Quantum Gravity
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Covariant Operator Formalism Of Gauge Theories And Quantum Gravity


Covariant Operator Formalism Of Gauge Theories And Quantum Gravity
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Author : Noboru Nakanishi
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1990

Covariant Operator Formalism Of Gauge Theories And Quantum Gravity written by Noboru Nakanishi and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.




Covariant Operator Formalism Of Gauge Theories And Quantum Gravity


Covariant Operator Formalism Of Gauge Theories And Quantum Gravity
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Author : Noboru Nakanishi
language : en
Publisher: World Scientific Publishing Company
Release Date : 1990-11-27

Covariant Operator Formalism Of Gauge Theories And Quantum Gravity written by Noboru Nakanishi and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-11-27 with Science categories.


This book provides a thorough description of the manifestly covariant canonical formalism of the abelian and non-abelian gauge theories and quantum gravity. The emphasis is on its non-perturbative nature and the non-use of the path-integral approach. The formalism presented here is extremely beautiful and transparent.



Covariant Operator Formalism Of Gauge Theories And Quantum Gravity


Covariant Operator Formalism Of Gauge Theories And Quantum Gravity
DOWNLOAD
Author : Noboru Nakanishi
language : en
Publisher:
Release Date : 1990

Covariant Operator Formalism Of Gauge Theories And Quantum Gravity written by Noboru Nakanishi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.




Fundamentals Of Electroweak Theory Second Edition


Fundamentals Of Electroweak Theory Second Edition
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Author : Jiri Horejsi
language : en
Publisher: World Scientific
Release Date : 2024-06-11

Fundamentals Of Electroweak Theory Second Edition written by Jiri Horejsi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-11 with Science categories.


This book is based on the lecture course taught by the author for about three decades at Charles University. The author gives a thorough and easy-to-read account of the basic principles of the standard model of electroweak interactions, describes various theories of electromagnetic and weak interactions, and explains the gauge theory of electroweak interactions. The criterion of the tree-level unitarity is used throughout the text to check the gradual steps leading to the renormalizable electroweak theory. Five appendices expound on some special techniques of the Standard Model, used in the main body of the text.The book can be read with just a preliminary knowledge of quantum field theory. In comparison with the first edition of the book published more than 20 years ago, new passages concerning the Higgs boson are added, as well as some new problems and solutions.



The Universal Coefficient Theorem And Quantum Field Theory


The Universal Coefficient Theorem And Quantum Field Theory
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Author : Andrei-Tudor Patrascu
language : en
Publisher: Springer
Release Date : 2016-09-23

The Universal Coefficient Theorem And Quantum Field Theory written by Andrei-Tudor Patrascu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-23 with Science categories.


This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of non-perturbative physics—one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the ER-EPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics.



An Introduction To Non Perturbative Foundations Of Quantum Field Theory


An Introduction To Non Perturbative Foundations Of Quantum Field Theory
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Author : Franco Strocchi
language : en
Publisher: OUP Oxford
Release Date : 2013-02-14

An Introduction To Non Perturbative Foundations Of Quantum Field Theory written by Franco Strocchi and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-14 with Science categories.


Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics. In most presentations, the emphasis is on the effectiveness of the theory in producing experimentally testable predictions, which at present essentially means Perturbative QFT. However, after more than fifty years of QFT, we still are in the embarrassing situation of not knowing a single non-trivial (even non-realistic) model of QFT in 3+1 dimensions, allowing a non-perturbative control. As a reaction to these consistency problems one may take the position that they are related to our ignorance of the physics of small distances and that QFT is only an effective theory, so that radically new ideas are needed for a consistent quantum theory of relativistic interactions (in 3+1 dimensions). The book starts by discussing the conflict between locality or hyperbolicity and positivity of the energy for relativistic wave equations, which marks the origin of quantum field theory, and the mathematical problems of the perturbative expansion (canonical quantization, interaction picture, non-Fock representation, asymptotic convergence of the series etc.). The general physical principles of positivity of the energy, Poincare' covariance and locality provide a substitute for canonical quantization, qualify the non-perturbative foundation and lead to very relevant results, like the Spin-statistics theorem, TCP symmetry, a substitute for canonical quantization, non-canonical behaviour, the euclidean formulation at the basis of the functional integral approach, the non-perturbative definition of the S-matrix (LSZ, Haag-Ruelle-Buchholz theory). A characteristic feature of gauge field theories is Gauss' law constraint. It is responsible for the conflict between locality of the charged fields and positivity, it yields the superselection of the (unbroken) gauge charges, provides a non-perturbative explanation of the Higgs mechanism in the local gauges, implies the infraparticle structure of the charged particles in QED and the breaking of the Lorentz group in the charged sectors. A non-perturbative proof of the Higgs mechanism is discussed in the Coulomb gauge: the vector bosons corresponding to the broken generators are massive and their two point function dominates the Goldstone spectrum, thus excluding the occurrence of massless Goldstone bosons. The solution of the U(1) problem in QCD, the theta vacuum structure and the inevitable breaking of the chiral symmetry in each theta sector are derived solely from the topology of the gauge group, without relying on the semiclassical instanton approximation.



Principles Of Quantum General Relativity


Principles Of Quantum General Relativity
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Author : Eduard Prugovecki
language : en
Publisher: World Scientific
Release Date : 1995-01-20

Principles Of Quantum General Relativity written by Eduard Prugovecki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-20 with Science categories.


This monograph explains and analyzes the principles of a quantum-geometric framework for the unification of general relativity and quantum theory. By taking advantage of recent advances in areas like fibre and superfibre bundle theory, Krein spaces, gauge fields and groups, coherent states, etc., these principles can be consistently incorporated into a framework that can justifiably be said to provide the foundations for a quantum extrapolation of general relativity. This volume aims to present this approach in a way which places as much emphasis on fundamental physical ideas as on their precise mathematical implementation. References are also made to the ideas of Einstein, Bohr, Born, Dirac, Heisenberg and others, in order to set the work presented here in an appropriate historical context.



Algebraic Analysis


Algebraic Analysis
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Author : Masaki Kashiwara
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Algebraic Analysis written by Masaki Kashiwara and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of his 60th Birthday, Volume II is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato's 60th birthday. This volume is divided into 29 chapters and starts with research works concerning the fundamentals of KP equations, strings, Schottky problem, and the applications of transformation theory for nonlinear integrable systems to linear prediction problems and isospectral deformations,. The subsequent chapters contain papers on the approach to nonlinear integrable systems, the Hodge numbers, the stochastic different equation for the multi-dimensional weakly stationary process, and a method of harmonic analysis on semisimple symmetric spaces. These topics are followed by studies on the quantization of extended vortices, moduli space for Fuchsian groups, microfunctions for boundary value problems, and the issues of multi-dimensional integrable systems. The remaining chapters explore the practical aspects of pseudodifferential operators in hyperfunction theory, the elliptic solitons, and Carlson's theorem for holomorphic functions. This book will prove useful to mathematicians and advance mathematics students.



Handbook Of Quantum Gravity


Handbook Of Quantum Gravity
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Author : Cosimo Bambi
language : en
Publisher: Springer Nature
Release Date : 2024-12-03

Handbook Of Quantum Gravity written by Cosimo Bambi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-03 with Science categories.


The search for a theory of quantum gravity is one of the most important and fascinating problems in modern theoretical physics. While we do not have yet a complete theory of quantum gravity, significant advancements have been done in the past decades. In this handbook, every section is dedicated to a specific approach towards a theory of quantum gravity and is edited by the leading experts in the field. This book represents both a valuable resource for graduate students and an important reference for researchers in quantum gravity.



Quantum Gravity And Cosmology Based On Conformal Field Theory


Quantum Gravity And Cosmology Based On Conformal Field Theory
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Author : Ken-ji Hamada
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2019-01-18

Quantum Gravity And Cosmology Based On Conformal Field Theory written by Ken-ji Hamada and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-18 with Science categories.


What is the world beyond the Planck scale that provides the minimum unit of the universe? The goal of quantum gravity is to reveal physical laws in such a world. There, quantum fluctuations of gravity become large, and what is called a background-free world where the concept of time and distance is lost shall be realized. The renormalizable quantum gravity introduced in this book offers a theory in which such a world is described by a certain conformal field theory and a deviation from there is handled as a perturbation. This is the state-of-the-art of modern physics that will help in understanding the history of the universe, from its birth to the present.