Topological Yang-Mills field theory as the stochastic quantization of Chern-Simons gauge theory

1989 ◽  
Vol 40 (4) ◽  
pp. 1301-1310 ◽  
Author(s):  
Yue Yu
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Stochastic Quantization ◽  
Yang Mills ◽  
Chern Simons ◽  
Mills Field

scholarly journals Hermitian(ϵ,δ)-Freudenthal-Kantor Triple Systems and Certain Applications of*-Generalized Jordan Triple Systems to Field Theory

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Noriaki Kamiya ◽  
Matsuo Sato
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Triple System ◽  
Structure Theorem ◽  
Higgs Mechanism ◽  
The Novel ◽  
Yang Mills ◽  
Triple Systems ◽  
Jordan Triple Systems ◽  
Chern Simons

We define Hermitian(ϵ,δ)-Freudenthal-Kantor triple systems and prove a structure theorem. We also give some examples of triple systems that are generalizations of theu(N)⊕u(M)andsp(2N)⊕u(1)Hermitian 3-algebras. We apply a*-generalized Jordan triple system to a field theory and obtain a Chern-Simons gauge theory. We find that the novel Higgs mechanism works, where the Chern-Simons gauge theory reduces to a Yang-Mills theory in a certain limit.

ß-function for Yang-Mills field theory in stochastic quantization

1986 ◽  
Vol 166 (2) ◽  
pp. 186-190 ◽  
Author(s):  
A.Muñoz Sudupe ◽  
R.F. Alvarez-Estrada
Keyword(s):  
Field Theory ◽  
Stochastic Quantization ◽  
Yang Mills ◽  
Mills Field

scholarly journals BATALIN–VILKOVISKY YANG–MILLS THEORY AS A HOMOTOPY CHERN–SIMONS THEORY VIA STRING FIELD THEORY

2009 ◽  
Vol 24 (07) ◽  
pp. 1309-1331 ◽  
Author(s):  
ANTON M. ZEITLIN
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Simons Theory ◽  
Yang Mills ◽  
Algebraic Constructions ◽  
Chern Simons ◽  
Chern Simons Theory

We show explicitly how Batalin–Vilkovisky Yang–Mills action emerges as a homotopy generalization of Chern–Simons theory from the algebraic constructions arising from string field theory.

scholarly journals A CHERN–SIMONS E8 GAUGE THEORY OF GRAVITY IN D = 15, GRAND UNIFICATION AND GENERALIZED GRAVITY IN CLIFFORD SPACES

2007 ◽  
Vol 04 (08) ◽  
pp. 1239-1257 ◽  
Author(s):  
CARLOS CASTRO
Keyword(s):  
Gauge Theory ◽  
Grand Unification ◽  
De Sitter ◽  
Sitter Group ◽  
Yang Mills ◽  
Theory Of Gravity ◽  
M Theory ◽  
Chern Simons ◽  
Topological Part ◽  
Gauge Theory Of Gravity

A novel Chern–Simons E8 gauge theory of gravity in D = 15 based on an octicE8 invariant expression in D = 16 (recently constructed by Cederwall and Palmkvist) is developed. A grand unification model of gravity with the other forces is very plausible within the framework of a supersymmetric extension (to incorporate spacetime fermions) of this Chern–Simons E8 gauge theory. We review the construction showing why the ordinary 11D Chern–Simons gravity theory (based on the Anti de Sitter group) can be embedded into a Clifford-algebra valued gauge theory and that an E8 Yang–Mills field theory is a small sector of a Clifford (16) algebra gauge theory. An E8 gauge bundle formulation was instrumental in understanding the topological part of the 11-dim M-theory partition function. The nature of this 11-dim E8 gauge theory remains unknown. We hope that the Chern–Simons E8 gauge theory of gravity in D = 15 advanced in this work may shed some light into solving this problem after a dimensional reduction.

scholarly journals A Yang–Mills Theory in Loop Space and Chapline–Manton Coupling

1997 ◽  
Vol 12 (02) ◽  
pp. 111-119 ◽  
Author(s):  
Shinichi Deguchi ◽  
Tadahito Nakajima
Keyword(s):  
Field Theory ◽  
Local Field ◽  
Loop Space ◽  
Tensor Field ◽  
Symmetric Tensor ◽  
Tensor Fields ◽  
Yang Mills ◽  
Local Field Theory ◽  
Antisymmetric Tensor Field ◽  
Chern Simons

We consider a Yang–Mills theory in loop space with the affine gauge group. From this theory, we derive a local field theory with Yang–Mills fields and Abelian antisymmetric and symmetric tensor fields of the second rank. The Chapline–Manton coupling, i.e. coupling of Yang–Mills fields and a second-rank antisymmetric tensor field via the Chern–Simons three-form is obtained systematically.

scholarly journals Black Holes in 4D N=4 Super-Yang-Mills Field Theory

2020 ◽  
Vol 10 (2) ◽  
Author(s):  
Francesco Benini ◽  
Paolo Milan
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
Yang Mills ◽  
Mills Field

THE SUPERSYMMETRIC GAUGE FIELD COPIES

1987 ◽  
Vol 02 (11) ◽  
pp. 861-868
Author(s):  
ZIEMOWIT POPOWICZ
Keyword(s):  
Field Theory ◽  
Field Strength ◽  
Gauge Field ◽  
Yang Mills ◽  
Supersymmetric Gauge ◽  
Mills Field

The examples of Wu-Yang ambiguity in the supersymmetric Yang-Mills theory are given. We describe two different manners of copying the superconnection for the N = 1, N = 3 supersymmetric SU(2) Yang-Mills field theory, providing the same field strength superfield tensor.

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