scholarly journals Propagator Dyson-Schwinger equations of Coulomb gauge Yang-Mills theory within the first order formalism

2007 ◽  
Vol 75 (4) ◽  
Author(s):  
P. Watson ◽  
H. Reinhardt
Keyword(s):  
Coulomb Gauge ◽  
Yang Mills ◽  
First Order

scholarly journals A SPECTRAL APPROACH TO YANG-MILLS THEORY

2002 ◽  
Vol 17 (06n07) ◽  
pp. 926-935
Author(s):  
GIAMPIERO ESPOSITO
Keyword(s):  
Riemannian Manifolds ◽  
Differential Operators ◽  
Coulomb Gauge ◽  
Point Of View ◽  
Order Differential Operator ◽  
Matrix Elements ◽  
Four Dimensions ◽  
Yang Mills ◽  
First Order ◽  
Pseudo Differential Operators

Yang–Mills theory in four dimensions is studied by using the Coulomb gauge. The Coulomb gauge Hamiltonian involves integration of matrix elements of an operator [Formula: see text] built from the Laplacian and from a first-order differential operator. The operator [Formula: see text] is studied from the point of view of spectral theory of pseudo-differential operators on compact Riemannian manifolds, both when self-adjointness holds and when it is not fulfilled. In both cases, well-defined matrix elements of [Formula: see text] are evaluated as a first step towards the more difficult problems of quantized Yang–Mills theory.

scholarly journals Truncating First-Order Dyson–Schwinger Equations in Coulomb Gauge Yang–Mills Theory

2009 ◽  
Vol 47 (1-2) ◽  
pp. 73-90 ◽  
Author(s):  
Reinhard Alkofer ◽  
Axel Maas ◽  
Daniel Zwanziger
Keyword(s):  
Coulomb Gauge ◽  
Yang Mills ◽  
First Order

scholarly journals Chiral perturbation theory for GR

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Kirill Krasnov ◽  
Yuri Shtanov
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation ◽  
Perturbative Calculation ◽  
New Formalism ◽  
Yang Mills ◽  
First Order ◽  
Starting Point ◽  
Gauge Fixing ◽  
New Perturbation ◽  
Effective Description

Abstract We describe a new perturbation theory for General Relativity, with the chiral first-order Einstein-Cartan action as the starting point. Our main result is a new gauge-fixing procedure that eliminates the connection-to-connection propagator. All other known first-order formalisms have this propagator non-zero, which significantly increases the combinatorial complexity of any perturbative calculation. In contrast, in the absence of the connection-to-connection propagator, our formalism leads to an effective description in which only the metric (or tetrad) propagates, there are only cubic and quartic vertices, but some vertex legs are special in that they cannot be connected by the propagator. The new formalism is the gravity analog of the well-known and powerful chiral description of Yang-Mills theory.

Yang-Mills vacuum in the Coulomb gauge within an effective model

1989 ◽  
Vol 40 (8) ◽  
pp. 2692-2696 ◽  
Author(s):  
P. Besting ◽  
D. Schütte
Keyword(s):  
Coulomb Gauge ◽  
Effective Model ◽  
Yang Mills

scholarly journals Yang-Mills wave functional in Coulomb gauge

2005 ◽  
Vol 71 (10) ◽  
Author(s):  
H. Reinhardt ◽  
C. Feuchter
Keyword(s):  
Coulomb Gauge ◽  
Yang Mills

GLOBAL REGULARITY FOR YANG–MILLS FIELDS IN R1+5

2010 ◽  
Vol 07 (03) ◽  
pp. 433-470 ◽  
Author(s):  
ATANAS STEFANOV
Keyword(s):  
Model Equation ◽  
Global Regularity ◽  
Gauge Condition ◽  
Coulomb Gauge ◽  
Important Case ◽  
Small Data ◽  
Yang Mills

We show global persistence of solutions with small data for the model equation □u = u⋅∇u + u3, on R 1+d, d ≥ 5, subject to the Coulomb gauge condition [Formula: see text]. In particular, this covers the important case of the Yang–Mills problem.

Coulomb gauge description of large Yang-Mills fields

1978 ◽  
Vol 17 (6) ◽  
pp. 1576-1582 ◽  
Author(s):  
R. Jackiw ◽  
I. Muzinich ◽  
C. Rebbi
Keyword(s):  
Coulomb Gauge ◽  
Yang Mills

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.

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