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BRST Symmetry and de Rham Cohomology

BRST Symmetry and de Rham Cohomology PDF Author: Soon-Tae Hong
Publisher: Springer
ISBN: 9401797501
Category : Science
Languages : en
Pages : 205

Book Description
This book provides an advanced introduction to extended theories of quantum field theory and algebraic topology, including Hamiltonian quantization associated with some geometrical constraints, symplectic embedding and Hamilton-Jacobi quantization and Becci-Rouet-Stora-Tyutin (BRST) symmetry, as well as de Rham cohomology. It offers a critical overview of the research in this area and unifies the existing literature, employing a consistent notation. Although the results presented apply in principle to all alternative quantization schemes, special emphasis is placed on the BRST quantization for constrained physical systems and its corresponding de Rham cohomology group structure. These were studied by theoretical physicists from the early 1960s and appeared in attempts to quantize rigorously some physical theories such as solitons and other models subject to geometrical constraints. In particular, phenomenological soliton theories such as Skyrmion and chiral bag models have seen a revival following experimental data from the SAMPLE and HAPPEX Collaborations and these are discussed. The book describes how these model predictions were shown to include rigorous treatments of geometrical constraints because these constraints affect the predictions themselves. The application of the BRST symmetry to the de Rham cohomology contributes to a deep understanding of Hilbert space of constrained physical theories. Aimed at graduate-level students in quantum field theory, the book will also serve as a useful reference for those working in the field. An extensive bibliography guides the reader towards the source literature on particular topics.

BRST Symmetry and de Rham Cohomology

BRST Symmetry and de Rham Cohomology PDF Author: Soon-Tae Hong
Publisher: Springer
ISBN: 9401797501
Category : Science
Languages : en
Pages : 205

Book Description
This book provides an advanced introduction to extended theories of quantum field theory and algebraic topology, including Hamiltonian quantization associated with some geometrical constraints, symplectic embedding and Hamilton-Jacobi quantization and Becci-Rouet-Stora-Tyutin (BRST) symmetry, as well as de Rham cohomology. It offers a critical overview of the research in this area and unifies the existing literature, employing a consistent notation. Although the results presented apply in principle to all alternative quantization schemes, special emphasis is placed on the BRST quantization for constrained physical systems and its corresponding de Rham cohomology group structure. These were studied by theoretical physicists from the early 1960s and appeared in attempts to quantize rigorously some physical theories such as solitons and other models subject to geometrical constraints. In particular, phenomenological soliton theories such as Skyrmion and chiral bag models have seen a revival following experimental data from the SAMPLE and HAPPEX Collaborations and these are discussed. The book describes how these model predictions were shown to include rigorous treatments of geometrical constraints because these constraints affect the predictions themselves. The application of the BRST symmetry to the de Rham cohomology contributes to a deep understanding of Hilbert space of constrained physical theories. Aimed at graduate-level students in quantum field theory, the book will also serve as a useful reference for those working in the field. An extensive bibliography guides the reader towards the source literature on particular topics.

BRST Symmetry and de Rham Cohomology

BRST Symmetry and de Rham Cohomology PDF Author: Soon-Tae Hong
Publisher: Springer Nature
ISBN: 9819709601
Category :
Languages : en
Pages : 248

Book Description


Path Integration: Trieste 1991, Lectures On - Proceedings Of The Adriatico Research Conference

Path Integration: Trieste 1991, Lectures On - Proceedings Of The Adriatico Research Conference PDF Author: H A Cerdeira
Publisher: World Scientific
ISBN: 9814554537
Category :
Languages : en
Pages : 602

Book Description
This is a collection of pedagogical lectures and research papers that were presented during a combined course/conference program held at the International Centre for Theoretical Physics in Trieste in the summer of 1991. The lectures begin from an elementary level and were intended to bring student participants to the point where they could appreciate the research conference that came at the end of program.

Mirror Symmetry and Algebraic Geometry

Mirror Symmetry and Algebraic Geometry PDF Author: David A. Cox
Publisher: American Mathematical Soc.
ISBN: 082182127X
Category : Mathematics
Languages : en
Pages : 498

Book Description
Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book is the first completely comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made to date. Subjects discussed include toric varieties, Hodge theory, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem. This title features: numerous examples worked out in detail; an appendix on mathematical physics; an exposition of the algebraic theory of Gromov-Witten invariants and quantum cohomology; and, a proof of the mirror theorem for the quintic threefold.

Mirror Symmetry I

Mirror Symmetry I PDF Author: Shing-Tung Yau
Publisher: American Mathematical Soc.
ISBN: 082182743X
Category : Mathematics
Languages : en
Pages : 460

Book Description
Vol. 1 represents a new ed. of papers which were originally published in Essays on mirror manifolds (1992); supplemented by the additional volume: Mirror symmetry 2 which presents papers by both physicists and mathematicians. Mirror symmetry 1 (the 1st volume) constitutes the proceedings of the Mathematical Sciences Research Institute Workshop of 1991.

Quantum Field Theory I: Basics in Mathematics and Physics

Quantum Field Theory I: Basics in Mathematics and Physics PDF Author: Eberhard Zeidler
Publisher: Springer Science & Business Media
ISBN: 354034764X
Category : Science
Languages : en
Pages : 1060

Book Description
This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

Physics Letters

Physics Letters PDF Author:
Publisher:
ISBN:
Category : Nuclear physics
Languages : en
Pages : 866

Book Description


Quantum Mechanics of Fundamental Systems 2

Quantum Mechanics of Fundamental Systems 2 PDF Author: Claudio Teitelboim
Publisher: Springer Science & Business Media
ISBN: 146130797X
Category : Science
Languages : en
Pages : 315

Book Description
Studies based on a meeting held at the Centro de Estudios Cientificos de Santiago, Dec. 17-20, 1987, review new developments in the field. Areas covered include: anomalous Jacobians and the vector anomaly; string phenomenology; quantum groups, integrable theories, and conformed models, small handles

Current Topics In Condensed Matter And Particle Physics: Non-perturbative Phenomena And Strongly Correlated Systems

Current Topics In Condensed Matter And Particle Physics: Non-perturbative Phenomena And Strongly Correlated Systems PDF Author: Shan-tao Liao
Publisher: World Scientific
ISBN: 9814553131
Category :
Languages : en
Pages : 656

Book Description
This updated edition of the book blends in new e-commerce technologies. Mobile commerce (M-commerce) and use of cloud computing are offering a new set of challenges and opportunities for those individuals who know what they are and how they are related to e-commerce. Their use opens up new markets, expanding the need for larger operations, which in turn requires greater knowledge of the operations management subjects presented in this book.The book is focused on issues, concepts, philosophies, procedures, methodologies, and practices of running e-commerce operations. It connects the basic operations management activities undertaken by every organization (e.g., inventory management, scheduling, etc.) and translates their application into issues and problems faced in the field of e-commerce.The book also provides current research findings, strategies, and practices that can help students in the field of operations management run and improve their e-commerce operations. It covers most of the basic operations management activities and functions and has been designed for an upper-level undergraduate business, a graduate business or engineering management course on e-commerce operations management for university students. Students interested in e-commerce operations will find this book a valuable guide to the important aspects of starting up and running an e-commerce operation. They can learn from reading this book how supply chains, products and processes, human resources and purchasing functions can supported and enhanced by the use of e-commerce. In addition, students can learn how to undertake forecasting and scheduling in e-commerce operations. Decision-makers and managers who have to reengineer e-commerce operations can also use this book as a guide to understanding e-commerce.The Instructor Manual and PowerPoint Slides for the book are available upon request for all instructors who adopt this book as a course text. Please send your request to .

Classical Foundations of BRST Symmetry

Classical Foundations of BRST Symmetry PDF Author: Marc Henneaux
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 122

Book Description