Geometry, topology and quantum field theory

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Geometry, topology and quantum field theory / by Pratul Bandyopadhyay

資料種別:: 図書
出版情報:: Dordrecht : Kluwer Academic, c2003
形態:: xi, 217 p. ; 25 cm
シリーズ名:: Fundamental theories of physics ; v. 130 <BA00022594>
著者名:: Bandyopadhyay, Pratul <DA10226644>
ISBN:: 9781402014147 [1402014147]
書誌ID:: BA64035246

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注記:

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

主題:

Geometric quantization; Mathematical physics; Quantum field theory; Topology

言語:

英語

目次情報:

Preface

Theory of Spinors / 1：

Spinors and Spin structure / 1.1：

Spinor space and Spinor Algebra / 1.1.1：

Spinors and Tensors / 1.1.2：

Universal Covering space / 1.1.3：

Spinor structure / 1.1.4：

Spinors in Different Dimensions / 1.2：

Simple Spinor Geometry / 1.2.1：

Conformal Spinors / 1.2.2：

Twistors and Cartan Semispinors / 1.2.3：

Supersymmetry and Superspace / 1.3：

Supersymmetry algebra / 1.3.1：

Superspace / 1.3.2：

Spinor structure and superspace / 1.3.3：

Fermions and Topology / 2：

Fermi Field and Nonlinear Sigma Model / 2.1：

Quantization of a Fermi Field and Sympletic Structure / 2.1.1：

Gauge Theorctic Extension of a Fermion and Nonlinear Sigma Model / 2.1.2：

Boson-Fermion Transformation / 2.1.3：

Vortex Line, Magnetic Flux and Fermion Quantization / 2.1.4：

Quantization and Anomaly / 2.2：

Quantum Mechanical Symmetry Breaking and Anomaly / 2.2.1：

Path Integral Formalism and Chiral Anomaly / 2.2.2：

Quantization of a Fermion and Chiral Anomaly / 2.2.3：

Anomaly and Topology / 2.3：

Topological Aspects of Anomaly / 2.3.1：

Chiral Anomaly and Berry Phase / 2.3.2：

Berry Phase and Fermion Number / 2.3.3：

Electroweak Theory / 3：

Weinberg - Salam Theory / 3.1：

Spontaneous Symmetry Breaking and the Nature of Vacuum / 3.1.1：

Weinberg-Salam Theory of Electroweak Interaction / 3.1.2：

Renormalization of Yang-Mills Theory with Spontaneous Symmetry Breaking / 3.1.3：

Topological Features in Field Theory / 3.2：

The Sine-Gordon Model / 3.2.1：

Vortex Lines / 3.2.2：

The Dirac Monopole / 3.2.3：

The't Hooft Polyakov Monopole / 3.2.4：

Instantons / 3.2.5：

Topological Origin of Mass / 3.3：

Topological Aspects of Chiral Anomaly and Origin of Mass / 3.3.1：

Weak Interaction Gauge Bosons and Topological Origin of Mass / 3.3.2：

Topological Features and Some Aspects of Weak Interaction Phenomenology / 3.3.3：

Skyrme Model / 4：

Nonlinear Sigma Model / 4.1：

Chiral Symmetry Breaking and Nonlinear Sigma Model / 4.1.1：

Nonlinear Sigma Model in Different Dimensions / 4.1.2：

Topological Term in Nonlinear Sigma Model / 4.1.3：

Skyrme Model for Nucleons / 4.2：

Skyrme's Approach: Mesonic Fluid Model / 4.2.1：

Nucleons as Topological Skyrmions / 4.2.2：

Static Properties of Nucleons / 4.2.3：

Baryons as Three Flavor Solitons / 4.3：

Extension of Nuclenoic Model to SU(3) Symmetry / 4.3.1：

Skyrmions and Quantum Chromodynamics / 4.3.2：

Skyrmion Statistics / 4.3.3：

Geometrical Aspects of a Skyrmion / 5：

Microlocal Space Time and Fermions / 5.1：

Microlocal Space Time and Massive Fermions as Solitons / 5.1.1：

Bosonic Degrees of Freedom and Fermion / 5.1.2：

Geometric Phase and [theta]-term / 5.1.3：

Internal Symmetry of Hadrons / 5.2：

Geometrical Aspects of Conformal Spinors / 5.2.1：

Reflection Group and the Internal Symmetry of Hadrons / 5.2.2：

Composite State of Skyrmions and Static Properties of Baryons / 5.2.3：

Supersymmetry and Internal Symmetry / 5.3：

Conformal Spinors and Supersymmetry / 5.3.1：

Reflection Group, Supersymmetry and Internal Symmetry / 5.3.2：

Conformal Spinors and Symmetry Group of Interactions / 5.3.3：

Noncommutative Geometry / 6：

Quantum Space Time / 6.1：

Noncommutative Geometry: Physical Perspective / 6.1.1：

Noncommutative Geometry and Quantum Phase space / 6.1.2：

Noncommutative Geometry and Quantum Group / 6.1.3：

Noncommutative Geometry and Particle Physics / 6.2：

Noncommutative Geometry and Electroweak Theory / 6.2.1：

Noncommutative Geometry and Standard Model / 6.2.2：

Noncommutative Generalization of Gauge Theory / 6.2.3：

Discrete Space as the Internal Space / 6.3：

Noncommutative Geometry and Quantization of a Fermion / 6.3.1：

Noncommutative Geometry, Disconnected Gauge Group and Chiral Anomaly / 6.3.2：

Noncommutative Geometry, Geometrical Aspects of a Skyrmion and Polyakov String / 6.3.3：

References

Subject Index

Preface

Theory of Spinors / 1：

Spinors and Spin structure / 1.1：

Spinor space and Spinor Algebra / 1.1.1：

Spinors and Tensors / 1.1.2：

Universal Covering space / 1.1.3：

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