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BRST Symmetry and de Rham Cohomology

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	BRST Symmetry and de Rham Cohomology/ by Soon-Tae Hong.
作者:	Hong, Soon-Tae.
面頁冊數:	X, 201 p. 2 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Quantum field theory. -
電子資源:	https://doi.org/10.1007/978-94-017-9750-4
ISBN:	9789401797504

BRST Symmetry and de Rham Cohomology
Hong, Soon-Tae.

BRST Symmetry and de Rham Cohomology[electronic resource] /by Soon-Tae Hong. - 1st ed. 2015. - X, 201 p. 2 illus.online resource.

Preface -- 1. Introduction -- 2. Hamiltonian quantization with constraints -- 3. BRST symmetry in constrained systems -- 4. Symplectic embedding and Hamilton-Jacobi quantization -- 5. Hamiltonian quantization and BRST symmetry of soliton models -- 6. Hamiltonian quantization and BRST symmetry of Skyrmion models -- 7. Hamiltonian structure of other models -- 8. Phenomenological soliton -- 9. De Rham cohomology in constrained physical system -- Appendix.

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.

ISBN: 9789401797504

Standard No.: 10.1007/978-94-017-9750-4doiSubjects--Topical Terms:

579915
Quantum field theory.

LC Class. No.: QC174.45-174.52

Dewey Class. No.: 530.14

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520 $a 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.
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