Noncovariant gauges in canonical formalism / A. Burnel.

Format:

Book

Author/Creator:

Burnel, A. (André), author.

Series:

Lecture notes in physics ; 761.

Lecture notes in physics ; 761

Language:

English

Subjects (All):

Gauge fields (Physics).

Physical Description:

1 online resource (XV, 236 p. 21 illus.)

Edition:

1st ed. 2009.

Place of Publication:

Berlin ; Heidelberg : Springer, [2009]

Language Note:

English

Summary:

By definition, gauge theories - among the cornerstones of fundamental theoretical physics - involve more degrees of freedom than required by the underlying physics. The unphysical degrees of freedom must be shown not to yield unwarranted effects at every step in the formalism where explicit Lorentz covariance is required. The present work presents, in a rigorous way, a consistent formulation for the handling of noncovariant gauges in the quantization and renormalization of gauge theories. Though the path integral method is very convenient for the proof of unitarity and renormalizability of gauge theories, the canonical formalism is eventually necessary to expose the issues in a self-consistent way. These notes are written as an introduction to postgraduate students, lecturers and researchers in the field and assume prior knowledge of quantum field theory.

Contents:

Canonical Quantization for Constrained Systems

Quantization of the Free Electromagnetic Field in General Class III Linear Gauges

Quantization of the Free Electromagnetic Field in Class II Axial Gauges

Gauge Fields in Interaction

Perturbation Theory: Renormalization and All That

Slavnov-Taylor Identities for Yang-Mills Theory

Field Theory Without Infinities

Gauges with a Singular C Matrix

Conclusion.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9783540699217

354069921X

OCLC:

1294141037