scholarly journals Infrared Behavior of Three-Point Functions in Landau Gauge Yang-Mills Theory

2012 ◽  
Author(s):  
Markus Huber ◽  
Reinhard Alkofer ◽  
Kai Schwenzer
Keyword(s):  
Landau Gauge ◽  
Yang Mills ◽  
Infrared Behavior

scholarly journals Infrared behavior of the ghost-gluon vertex in Landau gauge Yang-Mills theory

2005 ◽  
Vol 72 (1) ◽  
Author(s):  
W. Schleifenbaum ◽  
A. Maas ◽  
J. Wambach ◽  
R. Alkofer
Keyword(s):  
Landau Gauge ◽  
Gluon Vertex ◽  
Yang Mills ◽  
Infrared Behavior

scholarly journals Infrared behavior of three-point functions in Landau gauge Yang–Mills theory

2009 ◽  
Vol 62 (4) ◽  
pp. 761-781 ◽  
Author(s):  
R. Alkofer ◽  
M. Q. Huber ◽  
K. Schwenzer
Keyword(s):  
Landau Gauge ◽  
Yang Mills ◽  
Infrared Behavior

scholarly journals GLUONS AT FINITE TEMPERATURE IN LANDAU GAUGE YANG–MILLS THEORY

2005 ◽  
Vol 20 (24) ◽  
pp. 1797-1811 ◽  
Author(s):  
AXEL MAAS
Keyword(s):  
High Temperature ◽  
Finite Temperature ◽  
Landau Gauge ◽  
High Temperature Phase ◽  
Temperature Phase ◽  
Soft Scale ◽  
Yang Mills ◽  
Infrared Behavior ◽  
The One

The infrared behavior of Yang–Mills theory at finite temperature provides access to the role of confinement. In this review recent results on this topic from lattice calculations and especially Dyson–Schwinger studies are discussed. These indicate persistence of a residual confinement even in the high-temperature phase. The confinement mechanism is very similar to the one in the vacuum for the chromomagnetic sector. In the chromoelectric sector screening occurs at the soft scale g2T, although not leading to a perturbative behavior.

scholarly journals The infrared behavior of Landau gauge Yang–Mills theory in d=2, 3 and 4 dimensions

2008 ◽  
Vol 659 (1-2) ◽  
pp. 434-440 ◽  
Author(s):  
Markus Q. Huber ◽  
Reinhard Alkofer ◽  
Christian S. Fischer ◽  
Kai Schwenzer
Keyword(s):  
Landau Gauge ◽  
Yang Mills ◽  
Infrared Behavior

scholarly journals On the infrared behavior of Landau gauge Yang–Mills theory

2009 ◽  
Vol 324 (11) ◽  
pp. 2408-2437 ◽  
Author(s):  
Christian S. Fischer ◽  
Axel Maas ◽  
Jan M. Pawlowski
Keyword(s):  
Landau Gauge ◽  
Yang Mills ◽  
Infrared Behavior

scholarly journals Perturbative linearization of super-Yang-Mills theories in general gauges

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Hannes Malcha ◽  
Hermann Nicolai
Keyword(s):  
Large Class ◽  
Fourth Order ◽  
Landau Gauge ◽  
Third Order ◽  
Yang Mills ◽  
Free Theory ◽  
Non Linear ◽  
Functional Measure ◽  
Non Local ◽  
Jacobi Determinant

Abstract Supersymmetric Yang-Mills theories can be characterized by a non-local and non-linear transformation of the bosonic fields (Nicolai map) mapping the interacting functional measure to that of a free theory, such that the Jacobi determinant of the transformation equals the product of the fermionic determinants obtained by integrating out the gauginos and ghosts at least on the gauge hypersurface. While this transformation has been known so far only for the Landau gauge and to third order in the Yang-Mills coupling, we here extend the construction to a large class of (possibly non-linear and non-local) gauges, and exhibit the conditions for all statements to remain valid off the gauge hypersurface. Finally, we present explicit results to second order in the axial gauge and to fourth order in the Landau gauge.

Infrared finiteness of the two-loop correction to the Chern–Simons term in the Yang–Mills–Chern–Simons theory

1995 ◽  
Vol 73 (5-6) ◽  
pp. 344-348 ◽  
Author(s):  
Yeong-Chuan Kao ◽  
Hsiang-Nan Li
Keyword(s):  
Effective Action ◽  
Background Field ◽  
Landau Gauge ◽  
Quantum Corrections ◽  
Simons Theory ◽  
Loop Correction ◽  
Loop Contribution ◽  
Yang Mills ◽  
Chern Simons ◽  
Chern Simons Theory

We show that the two-loop contribution to the coefficient of the Chern–Simons term in the effective action of the Yang–Mills–Chern–Simons theory is infrared finite in the background field Landau gauge. We also discuss the difficulties in verifying the conjecture, due to topological considerations, that there are no more quantum corrections to the Chern–Simons term other than the well-known one-loop shift of the coefficient.

scholarly journals On gauge independence for gauge models with soft breaking of BRST symmetry

2014 ◽  
Vol 29 (30) ◽  
pp. 1450184 ◽  
Author(s):  
Alexander Reshetnyak
Keyword(s):  
Gauge Theories ◽  
Brst Symmetry ◽  
Landau Gauge ◽  
Functional Integral ◽  
Yang Mills ◽  
Gauge Models ◽  
S Matrix ◽  
Gauge Fixing ◽  
Dependent Parameter ◽  
Quantum Treatment

A consistent quantum treatment of general gauge theories with an arbitrary gauge-fixing in the presence of soft breaking of the BRST symmetry in the field–antifield formalism is developed. It is based on a gauged (involving a field-dependent parameter) version of finite BRST transformations. The prescription allows one to restore the gauge-independence of the effective action at its extremals and therefore also that of the conventional S-matrix for a theory with BRST-breaking terms being additively introduced into a BRST-invariant action in order to achieve a consistency of the functional integral. We demonstrate the applicability of this prescription within the approach of functional renormalization group to the Yang–Mills and gravity theories. The Gribov–Zwanziger action and the refined Gribov–Zwanziger action for a many-parameter family of gauges, including the Coulomb, axial and covariant gauges, are derived perturbatively on the basis of finite gauged BRST transformations starting from Landau gauge. It is proved that gauge theories with soft breaking of BRST symmetry can be made consistent if the transformed BRST-breaking terms satisfy the same soft BRST symmetry breaking condition in the resulting gauge as the untransformed ones in the initial gauge, and also without this requirement.

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