Unitarity in gauge theories with nonlinear gauge conditions

1973 ◽  
Author(s):  
J. P. Hsu
Keyword(s):  
Gauge Theories ◽  
Nonlinear Gauge ◽  
Gauge Conditions

scholarly journals HAMILTONIAN COHOMOLOGICAL DERIVATION OF FOUR-DIMENSIONAL NONLINEAR GAUGE THEORIES

2002 ◽  
Vol 17 (16) ◽  
pp. 2191-2210 ◽  
Author(s):  
C. BIZDADEA ◽  
E. M. CIOROIANU ◽  
S. O. SALIU
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Scalar Fields ◽  
Gauge Algebra ◽  
Brst Cohomology ◽  
Nonlinear Gauge

Consistent couplings among a set of scalar fields, two types of one-forms and a system of two-forms are investigated in the light of the Hamiltonian BRST cohomology, giving a four-dimensional nonlinear gauge theory. The emerging interactions deform the first-class constraints, the Hamiltonian gauge algebra, as well as the reducibility relations.

PHASE SPACE REDUCTION AND THE CHOICE OF PHYSICAL VARIABLES IN GAUGE THEORIES

1991 ◽  
Vol 06 (05) ◽  
pp. 845-863 ◽  
Author(s):  
S.V. SHABANOV
Keyword(s):  
Phase Space ◽  
Degrees Of Freedom ◽  
Gauge Theories ◽  
Hamiltonian Path ◽  
Curvilinear Coordinates ◽  
Yang Mills ◽  
Space Reduction ◽  
Physical Variables ◽  
Phase Space Reduction ◽  
Gauge Conditions

The connection between the way of separation of physical variables and the form of the Hamiltonian path integral (HPI) is studied for the Yang-Mills quantum mechanics. It is shown that physical degrees of freedom are always described by curvilinear coordinates. It is also found that the ambiguity in determining physical variables follows from the reduction of the physical phase space. The latter leads to a modification of the standard HPI (HPI with gauge conditions).

scholarly journals On nonlinear gauge theories

2009 ◽  
Vol 59 (7) ◽  
pp. 1063-1072
Author(s):  
Daniele Signori ◽  
Mathieu Stiénon
Keyword(s):  
Gauge Theories ◽  
Nonlinear Gauge

scholarly journals DUALITY SYMMETRIES IN NONLINEAR GAUGE THEORIES

1999 ◽  
Vol 14 (07) ◽  
pp. 1139-1149 ◽  
Author(s):  
MINAKO ARAKI ◽  
YOSHIAKI TANII
Keyword(s):  
Sigma Models ◽  
Gauge Theories ◽  
Scalar Fields ◽  
Antisymmetric Tensor ◽  
Symmetry Groups ◽  
Tensor Fields ◽  
Duality Symmetry ◽  
Nonlinear Gauge ◽  
Field Strengths ◽  
Nonlinear Sigma Models

Duality symmetries are discussed for nonlinear gauge theories of (n-1)th rank antisymmetric tensor fields in general even dimensions d=2n. When there are M field strengths and no scalar fields, the duality symmetry groups should be compact. We find conditions on the Lagrangian required by compact duality symmetries and show an example of duality invariant nonlinear theories. We also discuss how to enlarge the duality symmetries to noncompact groups by coupling scalar fields described by nonlinear sigma models.

scholarly journals GAUGE THEORY DEFORMATIONS AND NOVEL YANG–MILLS CHERN–SIMONS FIELD THEORIES WITH TORSION

2004 ◽  
Vol 01 (04) ◽  
pp. 493-544 ◽  
Author(s):  
STEPHEN C. ANCO
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Covariant Derivative ◽  
Gauge Theories ◽  
Field Theories ◽  
Deformation Method ◽  
Yang Mills ◽  
The Past ◽  
Nonlinear Gauge ◽  
Chern Simons

A basic problem of classical field theory, which has attracted growing attention over the past decade, is to find and classify all nonlinear deformations of linear abelian gauge theories. The physical interest in studying deformations is to address uniqueness of known nonlinear interactions of gauge fields and to look systematically for theoretical possibilities for new interactions. Mathematically, the study of deformations aims to understand the rigidity of the nonlinear structure of gauge field theories and to uncover new types of nonlinear geometrical structures. The first part of this paper summarizes and significantly elaborates a field-theoretic deformation method developed in earlier work. Some key contributions presented here are, firstly, that the determining equations for deformation terms are shown to have an elegant formulation using Lie derivatives in the jet space associated with the gauge field variables. Secondly, the obstructions (integrability conditions) that must be satisfied by lowest-order deformations terms for existence of a deformation to higher orders are explicitly identified. Most importantly, a universal geometrical structure common to a large class of nonlinear gauge theory examples is uncovered. This structure is derived geometrically from the deformed gauge symmetry and is characterized by a covariant derivative operator plus a nonlinear field strength, related through the curvature of the covariant derivative. The scope of these results encompasses Yang–Mills theory, Freedman–Townsend theory, and Einstein gravity theory, in addition to their many interesting types of novel generalizations that have been found in the past several years. The second part of the paper presents a new geometrical type of Yang–Mills generalization in three dimensions motivated from considering torsion in the context of nonlinear sigma models with Lie group targets (chiral theories). The generalization is derived by a deformation analysis of linear abelian Yang–Mills Chern–Simons gauge theory. Torsion is introduced geometrically through a duality with chiral models obtained from the chiral field form of self-dual (2+2) dimensional Yang–Mills theory under reduction to (2+1) dimensions. Field-theoretic and geometric features of the resulting nonlinear gauge theories with torsion are discussed.

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