Research Catalog

Title

Geometry, topology and quantum field theory / by Pratul Bandyopadhyay.

Author

Bandyopadhyay, Pratul

Publication

Dordrecht ; Boston : Kluwer Academic, c2003.

Items in the Library & Off-site

Holdings

Details

Description

xi, 217 p.; 25 cm.

Series Statement

Fundamental theories of physics ; v. 130

Uniform Title

Fundamental theories of physics ; v. 130.

Subject

• Geometric quantization
• Quantum field theory
• Topology
• Mathematical physics

Bibliography (note)

• Includes bibliographical references (p. 205-216) and index.

Processing Action (note)

• committed to retain

Contents

• Theory of Spinors -- Spinors and Spin structure -- Spinor space and Spinor Algebra -- Spinors and Tensors -- Universal Covering space -- Spinor structure -- Spinors in Different Dimensions -- Simple Spinor Geometry -- Conformal Spinors -- Twistors and Cartan Semispinors -- Supersymmetry and Superspace -- Supersymmetry algebra -- Spinor structure and superspace -- Fermions and Topology -- Fermi Field and Nonlinear Sigma Model -- Quantization of a Fermi Field and Sympletic Structure -- Gauge Theorctic Extension of a Fermion and Nonlinear Sigma Model -- Boson-Fermion Transformation -- Vortex Line, Magnetic Flux and Fermion Quantization -- Quantization and Anomaly -- Quantum Mechanical Symmetry Breaking and Anomaly -- Path Integral Formalism and Chiral Anomaly -- Quantization of a Fermion and Chiral Anomaly -- Anomaly and Topology -- Topological Aspects of Anomaly -- Chiral Anomaly and Berry Phase -- Berry Phase and Fermion Number -- Electroweak Theory -- Weinberg -- Salam Theory -- Spontaneous Symmetry Breaking and the Nature of Vacuum -- Weinberg-Salam Theory of Electroweak Interaction -- Renormalization of Yang-Mills Theory with Spontaneous Symmetry Breaking -- Topological Features in Field Theory -- The Sine-Gordon Model -- Vortex Lines -- The Dirac Monopole -- The't Hooft Polyakov Monopole -- Instantons -- Topological Origin of Mass -- Topological Aspects of Chiral Anomaly and Origin of Mass -- Weak Interaction Gauge Bosons and Topological Origin of Mass -- Topological Features and Some Aspects of Weak Interaction Phenomenology.
• Skyrme Model -- Nonlinear Sigma Model -- Chiral Symmetry Breaking and Nonlinear Sigma Model -- Nonlinear Sigma Model in Different Dimensions -- Topological Term in Nonlinear Sigma Model -- Skyrme Model for Nucleons -- Skyrme's Approach: Mesonic Fluid Model -- Nucleons as Topological Skyrmions -- Static Properties of Nucleons -- Baryons as Three Flavor Solitons -- Extension of Nuclenoic Model to SU(3) Symmetry -- Skyrmions and Quantum Chromodynamics -- Skyrmion Statistics -- Geometrical Aspects of a Skyrmion -- Microlocal Space Time and Fermions -- Microlocal Space Time and Massive Fermions as Solitons -- Bosonic Degrees of Freedom and Fermion -- Geometric Phase and [theta]-term -- Internal Symmetry of Hadrons -- Geometrical Aspects of Conformal Spinors -- Reflection Group and the Internal Symmetry of Hadrons -- Composite State of Skyrmions and Static Properties of Baryons -- Supersymmetry and Internal Symmetry -- Conformal Spinors and Supersymmetry -- Reflection Group, Supersymmetry and Internal Symmetry -- Conformal Spinors and Symmetry Group of Interactions -- Noncommutative Geometry -- Quantum Space Time -- Noncommutative Geometry: Physical Perspective -- Noncommutative Geometry and Quantum Phase space -- Noncommutative Geometry and Quantum Group -- Noncommutative Geometry and Particle Physics -- Noncommutative Geometry and Electroweak Theory -- Noncommutative Geometry and Standard Model -- Noncommutative Generalization of Gauge Theory -- Discrete Space as the Internal Space -- Noncommutative Geometry and Quantization of a Fermion.
• Noncommutative Geometry, Disconnected Gauge Group and Chiral Anomaly -- Noncommutative Geometry, Geometrical Aspects of a Skyrmion and Polyakov String.

ISBN

1402014147

LCCN

^^2003054976

OCLC

• 52430824
• SCSB-10231731

Owning Institutions

Harvard Library