BRST Symmetry and de Rham Cohomology

2. Auflage 2024
ISBN: 978-981-97-0959-5
Verlag: Springer Nature Singapore

Buch, Englisch, 244 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 553 g

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 Becchi-Rouet-Stora-Tyutin (BRST) symmetry, as well as de Rham cohomology. This extended new edition offers a multifaced insight into phenomenology of particles such as baryons and photons, in terms of extended objects. In particular, in the second edition, the baryons are described in hypersphere soliton model, and the photon properties are additionally included in stringy photon model and in Dirac type relativistic quantum mechanics for a photon.
It offers a critical overview of the research in this area and unifies the existing literatures, employing a consistent notation. Although the results presented apply in principle to all alternative quantization schemes, special emphasis is placed on the BRST quantization and its de Rham cohomology group which contribute to a deep understanding of constrained physical theories. The book describes how solitons and other models subject to constraints include rigorous treatments of the geometrical constraints which affect the predictions themselves. 
The book is intended for use by any graduate-level student with quantum field and relativity theories, and it also serves as a useful reference for those working in the field. An extensive bibliography guides the reader toward the source literature on particular topics.

Zielgruppe

Graduate

Autoren/Hrsg.

Hong, Soon-Tae

Fachgebiete

• Naturwissenschaften Physik Quantenphysik Kernphysik
• Naturwissenschaften Physik Quantenphysik Teilchenphysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Introduction.-  Hamiltonian Quantization with Constraints.- BRST Symmetry in Constrained Systems.- Symplectic Embedding and Hamilton-Jacobi Quantization.- Hamiltonian Quantization and BRST Symmetry of Soliton Models.- Hamiltonian Quantization and BRST Symmetry of Skyrmion Models.- Hamiltonian Structure of Other Models.- Phenomenological Soliton.- De Rham Cohomology in Constrained Physical System.- Soliton Model in Hypersphere Geometry.- Massive Photon Phenomenology in Stringy Photon Model.- Anti-photon in Dirac Type Relativistic Quantum Mechanics for Massive Photons.- A SU(3) Clebsch-Gordan Series 8?35.

Über Autor(innen)

Prof. Soon-Tae Hong, who served as a faculty member at Ewha Women’s University and is currently a research professor at the Department of Physics at Sogang University, has researched the quantum field theory: string theory. He presented “Hong-Cho String Singularity Theorem” which studied 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 a new approach to explain Big Bang theory applying the string theory. Also, he is one of Springer authors of “Concise Encyclopedia of Supersymmetry” published in 2004 and recorded in Marquis Who’s Who in the World and in Science and Engineering.