CHIRALITY IN ELECTRODYNAMICS

1999 ◽  
Vol 14 (32) ◽  
pp. 5121-5135 ◽  
Author(s):  
G. C. MARQUES ◽  
D. SPEHLER
Keyword(s):  
Gauge Theory ◽  
Gauge Transformation ◽  
Gauge Invariance ◽  
Spinor Field ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Left Right Asymmetry

We show that a not necessarily totally symmetric Bargman–Wigner second rank spinor field is able to accommodate a left–right symmetric U (1)L⊗ U (1)R Abelian gauge theory. We show that some features of the standard QED, such as vectorial gauge invariance, invariance under gauge transformation of the second kind, and the nonexistence of monopoles, follow from imposing left–right asymmetry on the level of self-interaction of the spinorial constituents.

scholarly journals NON-ABELIAN GAUGE THEORIES AS A CONSEQUENCE OF PERTURBATIVE QUANTUM GAUGE INVARIANCE

1999 ◽  
Vol 14 (21) ◽  
pp. 3421-3432 ◽  
Author(s):  
A. ASTE ◽  
G. SCHARF
Keyword(s):  
Gauge Theory ◽  
Gauge Invariance ◽  
Gauge Theories ◽  
Fundamental Concept ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Yang Mills ◽  
Vector Bosons ◽  
Perturbative Quantum

We show for the case of interacting massless vector bosons, how the structure of Yang–Mills theories emerges automatically from a more fundamental concept, namely perturbative quantum gauge invariance. It turns out that the coupling in a non-Abelian gauge theory is necessarily of Yang–Mills type plus divergence- and coboundary-couplings. The extension of the method to massive gauge theories is briefly discussed.

scholarly journals THE BV MASTER EQUATION FOR THE WILSON ACTION IN GENERAL YANG-MILLS GAUGE THEORY

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2255-2256
Author(s):  
TAKESHI HIGASHI ◽  
ETSUKO ITOU ◽  
TAICHIRO KUGO
Keyword(s):  
Renormalization Group ◽  
Gauge Theory ◽  
Master Equation ◽  
Effective Action ◽  
Gauge Invariance ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Yang Mills ◽  
Usual Form

We study the four dimensional gauge theory within Wilsonian Renormalization Group (WRG) method. The Wilson effective action for general Yang-Mills gauge theory is shown to satisfy the usual form of Batalin-Vilkovisky (BV) master equation, despite that a momentum cutoff apparently breaks the gauge invariance. In the case of Abelian gauge theory, in particular, it actually deduces the Ward-Takahashi identity for Wilson action recently derived by Sonoda. We elucidated the relation of our Wilson master action with that derived by Ref. 2 and, in particular, showed that our BV Master equation really reproduced the Sonoda's WT identity for the Wilson action in QED. (This is a proceeding to the conference based on the poster given by E.I.).

YANG–MILLS THEORY AND NON-LOCAL REGULARIZATION

1991 ◽  
Vol 06 (17) ◽  
pp. 1581-1587 ◽  
Author(s):  
J. W. MOFFAT ◽  
S. M. ROBBINS
Keyword(s):  
Gauge Theory ◽  
Gauge Invariance ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Yang Mills ◽  
Local Regularization ◽  
Non Local

The lowest order diagrams required to guarantee decoupling and gauge invariance in non-local regularized, non-Abelian gauge theory are derived.

THE WEYL GAUGE THEORY AND ABSOLUTE PARALLELISM

2000 ◽  
Vol 15 (27) ◽  
pp. 1697-1701
Author(s):  
A. B. PESTOV
Keyword(s):  
Gauge Theory ◽  
Spinor Field ◽  
Vector Fields ◽  
Space Time ◽  
Spinor Representation ◽  
System Of Equations ◽  
Abelian Gauge ◽  
Weyl Spinor ◽  
Consistent System ◽  
Abelian Gauge Theory

The Weyl spinor field is a spinor representation of the Weyl non-Abelian gauge group and a source of the Weyl non-Abelian gauge field first originated in 1921. The equation is derived for the Weyl spinor field on the Weitzenböck space–time that has a quadruplet of parallel vector fields as the fundamental structure. The connection between the Weyl non-Abelian gauge theory and the Weitzenböck space–time is established in the form of a consistent system of equations for the Weyl spinor field and the quadruplet of parallel vector fields.

scholarly journals WIGNER'S LITTLE GROUP AND BRST COHOMOLOGY FOR ONE-FORM ABELIAN GAUGE THEORY

2004 ◽  
Vol 19 (16) ◽  
pp. 2721-2737 ◽  
Author(s):  
R. P. MALIK
Keyword(s):  
Gauge Theory ◽  
Gauge Transformation ◽  
Decisive Role ◽  
Decomposition Theorem ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Gauge Transformations ◽  
Brst Cohomology ◽  
The Relationship ◽  
Translation Subgroup

We discuss the (dual-)gauge transformations for the gauge-fixed Lagrangian density and establish their intimate connection with the translation subgroup T(2) of Wigner's little group for the free one-form Abelian gauge theory in four (3+1)-dimensions (4D) of space–time. Though the relationship between the usual gauge transformation for the Abelian massless gauge field and T(2) subgroup of the little group is quite well known, such a connection between the dual-gauge transformation and the little group is a new observation. The above connections are further elaborated and demonstrated in the framework of Becchi–Rouet–Stora–Tyutin (BRST) cohomology defined in the quantum Hilbert space of states where the Hodge decomposition theorem (HDT) plays a very decisive role.

scholarly journals ABELIAN GAUGE THEORY IN DE SITTER SPACE

2005 ◽  
Vol 20 (31) ◽  
pp. 2387-2396 ◽  
Author(s):  
S. ROUHANI ◽  
M. V. TAKOOK
Keyword(s):  
Field Equation ◽  
Gauge Theory ◽  
Spinor Field ◽  
De Sitter ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Sitter Spacetime ◽  
Free Fields ◽  
Conserved Currents ◽  
Spinor Field Equation

Quantization of spinor and vector free fields in four-dimensional de Sitter spacetime, in the ambient space notation, has been studied in the previous works. Various two-point functions for the above fields are presented in this paper. The interaction between the spinor field and the vector field is then studied by the Abelian gauge theory. The U (1) gauge invariant spinor field equation is obtained in a coordinate independent way notation and their corresponding conserved currents are computed. The solution of the field equation is obtained by the use of the perturbation method in terms of the Green's function. The null curvature limit is discussed in the final stage.

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