Classical theory of gauge fields

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Classical theory of gauge fields / Valery Rubakov ; translated by Stephen S. Wilson

資料種別:

図書

出版情報:

Princeton : Princeton University Press, c2002

形態:

x, 444 p. ; 24 cm

著者名:

ISBN:

9780691059273 [0691059276]

書誌ID:

BA57175063

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

その他の標題:

Klassich︡eskie kalibrovoch︡nye poli︠a︡

注記:

Includes bibliographical references and index

言語:

英語

目次情報:

Preface

Gauge Principle in Electrodynamics / Part I：

Electromagnetic-field action in vacuum / 1.1：

Gauge invariance / 1.2：

General solution of Maxwell's equations in vacuum / 1.3：

Choice of gauge / 1.4：

Scalar and Vector Fields / Chapter 2：

System of units h = c = 1 / 2.1：

Scalarfield action / 2.2：

Massive vectorfield / 2.3：

Complex scalarfield / 2.4：

Degrees of freedom / 2.5：

Interaction offields with external sources / 2.6：

Interactingfields. Gauge-invariant interaction in scalar electrodynamics / 2.7：

Noether's theorem / 2.8：

Elements of the Theory of Lie Groups and Algebras / Chapter 3：

Groups / 3.1：

Lie groups and algebras / 3.2：

Representations of Lie groups and Lie algebras / 3.3：

Compact Lie groups and algebras / 3.4：

Non-Abelian Gauge Fields / Chapter 4：

Non-Abelian global symmetries / 4.1：

Non-Abelian gauge invariance and gaugefields: the group SU(2) / 4.2：

Generalization to other groups / 4.3：

Field equations / 4.4：

Cauchy problem and gauge conditions / 4.5：

Spontaneous Breaking of Global Symmetry / Chapter 5：

Spontaneous breaking of discrete symmetry / 5.1：

Spontaneous breaking of global U(1) symmetry. Nambu-Goldstone bosons / 5.2：

Partial symmetry breaking: the SO(3) model / 5.3：

General case. Goldstone's theorem / 5.4：

Higgs Mechanism / Chapter 6：

Example of an Abelian model / 6.1：

Non-Abelian case: model with complete breaking of SU(2) symmetry / 6.2：

Example of partial breaking of gauge symmetry: bosonic sector of standard electroweak theory / 6.3：

Supplementary Problems for

The Simplest Topological Solitons / Part II：

Kink / 7.1：

Scale transformations and theorems on the absence of solitons / 7.2：

The vortex / 7.3：

Soliton in a model of n-field in (2 + 1)-dimensional space-time / 7.4：

Elements of Homotopy Theory / Chapter 8：

Homotopy of mappings / 8.1：

The fundamental group / 8.2：

Homotopy groups / 8.3：

Fiber bundles and homotopy groups / 8.4：

Summary of the results / 8.5：

Magnetic Monopoles / Chapter 9：

The soliton in a model with gauge group SU(2) / 9.1：

Magnetic charge / 9.2：

Generalization to other models / 9.3：

The limit mh/mv 0 / 9.4：

Dyons / 9.5：

Non-Topological Solitons / Chapter 10：

Tunneling and Euclidean Classical Solutions in Quantum Mechanics / Chapter 11：

Decay of a metastable state in quantum mechanics of one variable / 11.1：

Generalization to the case of many variables / 11.2：

Tunneling in potentials with classical degeneracy / 11.3：

Decay of a False Vacuum in Scalar Field Theory / Chapter 12：

Preliminary considerations / 12.1：

Decay probability: Euclidean bubble (bounce) / 12.2：

Thin-wall approximation / 12.3：

Instantons and Sphalerons in Gauge Theories / Chapter 13：

Euclidean gauge theories / 13.1：

Instantons in Yang-Mills theory / 13.2：

Classical vacua and 0-vacua / 13.3：

Sphalerons in four-dimensional models with the Higgs mechanism / 13.4：

Fermions in Background Fields / Part III：

Free Dirac equation / 14.1：

Solutions of the free Dirac equation. Dirac sea / 14.2：

Fermions in background bosonicfields / 14.3：

Fermionic sector of the Standard Model / 14.4：

Fermions and Topological External Fields in Two-dimensional Models / Chapter 15：

Charge fractionalization / 15.1：

Level crossing and non-conservation of fermion quantum numbers / 15.2：

Fermions in Background Fields of Solitons and Strings in Four-Dimensional Space-Time / Chapter 16：

Fermions in a monopole backgroundfield: integer angular momentum and fermion number fractionalization / 16.1：

Scattering of fermions off a monopole: non-conservation of fermion numbers / 16.2：

Zero modes in a backgroundfield of a vortex: superconducting strings / 16.3：

Preface

Gauge Principle in Electrodynamics / Part I：

Electromagnetic-field action in vacuum / 1.1：

Gauge invariance / 1.2：

General solution of Maxwell's equations in vacuum / 1.3：

Choice of gauge / 1.4：

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