BRST Symmetry and de Rham Cohomology

Authors: Hong, Soon-Tae

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  • Clearly describes the Hamiltonian quantization for constrained physical systems
  • Bridges the gap between the development and application of advanced Dirac quantization associated with BRST symmetries
  • A valuable source of information for researchers of various branches in quantum field theories
  • Makes connections among Hamiltonian quantization, BRST symmetry, hadron phenomenology and de Rham cohomology
  • Emphases both topological and phenomenological aspects of the subject
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  • ISBN 978-94-017-9750-4
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Hardcover $109.00
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Softcover $109.99
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  • ISBN 978-94-024-0401-2
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About this book

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.

About the authors

Prof. Soon-Tae Hong has researched in the quantum field theory: string theory. He presented "Cho-Hong String Singularity Theorem" which studied in the singularity of the geodesic surface congruence for time-like and null strings using the expansion of the universe in the string theory. It is new approach to explain big bang theory applying by string theory. Also, he is one of Springer authors of "Concise Encyclopedia of Super symmetry" published in 2004 and recorded in Marquis Who's Who in the World and in Science and Engineering.

Reviews

“This book is not only an advanced introduction to the extended theories of quantum field theory and algebraic topology but also a research platform which the interested reader are guided in a straightforward path to the frontier of the current research in the field. I recommened this book as an excellent resource for graduate and postgraduate students as well as researchers in quantum field theory.” (Saeid Jafari, zbMATH, Vol. 1326.81004, 2016)


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-94-017-9750-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA in USD
  • ISBN 978-94-017-9749-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-94-024-0401-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
BRST Symmetry and de Rham Cohomology
Authors
Copyright
2015
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-9750-4
DOI
10.1007/978-94-017-9750-4
Hardcover ISBN
978-94-017-9749-8
Softcover ISBN
978-94-024-0401-2
Edition Number
1
Number of Pages
X, 201
Number of Illustrations
2 b/w illustrations
Topics