scholarly journals Anote on local BRST cohomology of Yang-Mills type theories with free Abelian factors

2018 ◽  
Vol 59 (5) ◽  
pp. 052302 ◽  
Author(s):  
Glenn Barnich ◽  
Nicolas Boulanger
Keyword(s):  
Yang Mills ◽  
Brst Cohomology

scholarly journals Renormalization Transformations of the 4-D BFYM Theory

1997 ◽  
Vol 12 (31) ◽  
pp. 2353-2366 ◽  
Author(s):  
Alberto Accardi ◽  
Andrea Belli
Keyword(s):  
Perturbative Calculation ◽  
Preliminary Step ◽  
Yang Mills ◽  
First Order ◽  
Bf Theory ◽  
Starting Point ◽  
Brst Cohomology

We study the most general renormalization transformations for the first-order formulation of the Yang–Mills theory. We analyze, in particular, the trivial sector of the BRST cohomology of two possible formulations of the model: the standard one and the extended one. The latter is a promising starting point for the interpretation of the Yang–Mills theory as a deformation of the topological BF theory. This work is a necessary preliminary step towards any perturbative calculation, and completes some recently obtained results.

scholarly journals Local BRST cohomology and Seiberg–Witten maps in noncommutative Yang–Mills theory

2004 ◽  
Vol 677 (3) ◽  
pp. 503-534 ◽  
Author(s):  
Glenn Barnich ◽  
Friedemann Brandt ◽  
Maxim Grigoriev
Keyword(s):  
Yang Mills ◽  
Brst Cohomology

THE QUANTUM MECHANICS OF AN N=1 SUPERPARTICLE IN AN EXTENDED SUPERSPACE

1990 ◽  
Vol 05 (18) ◽  
pp. 1399-1409 ◽  
Author(s):  
MICHAEL B. GREEN ◽  
CHRISTOPHER M. HULL
Keyword(s):  
Quantum Mechanics ◽  
Finite Number ◽  
Gauge Fields ◽  
Yang Mills ◽  
Brst Cohomology ◽  
Covariant Gauge ◽  
Light Cone Quantization ◽  
Local Symmetries ◽  
Invariant Quantum ◽  
Extended Superspace

A new ten-dimensional superparticle action with local symmetries implemented via gauge fields is formulated in a superspace with an extra anticommuting space-time spinor coordinate. Light-cone quantization gives the spectrum of N=1 super-Yang-Mills. Covariant gauge choices in which the gauge fields are set to constants lead to free BRST-invariant quantum actions. Possible ghost systems include one with only a finite number of ghosts and several with an infinite number. In each case, the BRST cohomology class of zero ghost number gives the spectrum of N=1 super-Yang-Mills.

scholarly journals Local BRST cohomology in Einstein-Yang-Mills theory

1995 ◽  
Vol 455 (1-2) ◽  
pp. 357-408 ◽  
Author(s):  
Glenn Barnich ◽  
Friedemann Brandt ◽  
Marc Henneaux
Keyword(s):  
Yang Mills ◽  
Brst Cohomology

scholarly journals N = 1 SYM ACTION AND BRST COHOMOLOGY

2002 ◽  
Vol 17 (12) ◽  
pp. 739-749 ◽  
Author(s):  
K. ÜLKER
Keyword(s):  
Four Dimensions ◽  
Yang Mills ◽  
Brst Cohomology ◽  
Lower Dimensional ◽  
Exact Term

The relation between BRST cohomology and the N = 1 supersymmetric Yang–Mills action in four dimensions is discussed. In particular, it is shown that both off- and on-shell N = 1 SYM actions are related to a lower-dimensional field polynomial by solving the descent equations, which is obtained from the cohomological analysis of linearized Slavnov–Taylor operator ℬ, in the framework of algebraic renormalization. Furthermore we show that off- and on-shell solutions differ only by a ℬ-exact term, which is a consequence of the fact that the cohomology of both cases are the same.

scholarly journals CHAPLINE–MANTON INTERACTION VERTICES AND HAMILTONIAN BRST COHOMOLOGY

2000 ◽  
Vol 15 (06) ◽  
pp. 893-903 ◽  
Author(s):  
C. BIZDADEA ◽  
L. SALIU ◽  
S. O. SALIU
Keyword(s):  
Gauge Fields ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Brst Charge ◽  
Brst Cohomology ◽  
Interaction Term ◽  
Chern Simons

Consistent interactions between Yang–Mills gauge fields and an Abelian two-form are investigated by using a Hamiltonian cohomological procedure. It is shown that the deformation of the BRST charge and the BRST-invariant Hamiltonian of the uncoupled model generates the Yang–Mills Chern–Simons interaction term. The resulting interactions deform both the gauge transformations and their algebra, but not the reducibility relations.

scholarly journals CONSISTENT INTERACTIONS BETWEEN GAUGE FIELDS AND LOCAL BRST COHOMOLOGY: THE EXAMPLE OF YANG-MILLS MODELS

1994 ◽  
Vol 03 (01) ◽  
pp. 139-144 ◽  
Author(s):  
G. BARNICH ◽  
M. HENNEAUX ◽  
R. TATAR
Keyword(s):  
Vector Fields ◽  
Jacobi Identity ◽  
Second Order ◽  
Gauge Fields ◽  
Coupling Constant ◽  
Yang Mills ◽  
First Order ◽  
Gauge Symmetries ◽  
Brst Cohomology ◽  
Structure Constants

Recent results on the cohomological reformulation of the problem of consistent interactions between gauge fields are illustrated in the case of the Yang-Mills models. By evaluating the local BRST cohomology through descent equation techniques, it is shown (i) that there is a unique local, Poincaré invariant cubic vertex for free gauge vector fields which preserves the number of gauge symmetries to first order in the coupling constant; and (ii) that consistency to second order in the coupling constant requires the structure constants appearing in the cubic vertex to fulfill the Jacobi identity. The known uniqueness of the Yang-Mills coupling is therefore rederived through cohomological arguments.

scholarly journals N=2 SUPER-YANG–MILLS ACTION AND BRST COHOMOLOGY

2004 ◽  
Vol 19 (09) ◽  
pp. 713-726 ◽  
Author(s):  
K. ÜLKER
Keyword(s):  
Gauge Invariant ◽  
Yang Mills ◽  
Brst Cohomology ◽  
Lower Dimensional ◽  
Exact Term ◽  
Super Yang Mills Theory

The extended BRST cohomology of N=2 super-Yang–Mills theory is discussed in the framework of Algebraic Renormalization. In particular, N=2 supersymmetric descent equations are derived from the cohomological analysis of linearized Slavnov–Taylor operator ℬ. It is then shown that both off- and on-shell N=2 super-Yang–Mills actions are related to a lower-dimensional gauge-invariant field polynomial Tr ϕ2 by solving these descent equations. Moreover, it is found that these off- and on-shell solutions differ only by a ℬ-exact term, which can be interpreted as a consequence of the fact that the cohomology of both cases are the same.

scholarly journals Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory

1995 ◽  
Vol 174 (1) ◽  
pp. 93-116 ◽  
Author(s):  
Glenn Barnich ◽  
Friedemann Brandt ◽  
Marc Henneaux
Keyword(s):  
Yang Mills ◽  
Brst Cohomology

scholarly journals BRST cohomology ofN= 2 super-Yang-Mills theory in four dimensions

2000 ◽  
Vol 26 (8) ◽  
pp. 1117-1130 ◽  
Author(s):  
A Tanzini ◽  
O S Ventura ◽  
L C Q Vilar ◽  
S P Sorella
Keyword(s):  
Four Dimensions ◽  
Yang Mills ◽  
Brst Cohomology ◽  
Super Yang Mills Theory
Sign in / Sign up

Export Citation Format

Share Document