On the infrared singularity of the resolvent of some Yang–Mills‐type operators

1985 ◽  
Vol 26 (6) ◽  
pp. 1152-1157
Author(s):  
Arne Jensen ◽  
Wolfgang Krüger
Keyword(s):  
Infrared Singularity ◽  
Yang Mills

scholarly journals PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS

2000 ◽  
Vol 15 (07) ◽  
pp. 1011-1029 ◽  
Author(s):  
THOMAS KRAJEWSKI ◽  
RAIMAR WULKENHAAR
Keyword(s):  
Gauge Fields ◽  
Infrared Singularity ◽  
Noncommutative Torus ◽  
Yang Mills ◽  
Free Theory ◽  
Feynman Rules ◽  
Perturbative Quantum ◽  
The One ◽  
Brs Symmetry ◽  
Invariant Regularization

Using standard field theoretical techniques, we survey pure Yang–Mills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent. Because of an invariant regularization scheme, this theory turns out to be renormalizable and the detailed computation of the one-loop counterterms is given, leading to an asymptotically free theory. Besides, it turns out that nonplanar diagrams are overall convergent when θ is irrational.

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

scholarly journals Wave packet dynamics in Yang-Mills theory

1995 ◽  
Vol 52 (4) ◽  
pp. 2402-2411 ◽  
Author(s):  
C. R. Hu ◽  
S. G. Matinyan ◽  
B. Müller ◽  
A. Trayanov ◽  
T. M. Gould ◽  
...  
Keyword(s):  
Wave Packet ◽  
Yang Mills ◽  
Wave Packet Dynamics

scholarly journals Proof of ultraviolet finiteness for a planar non-supersymmetric Yang–Mills theory

2007 ◽  
Vol 783 (3) ◽  
pp. 227-237 ◽  
Author(s):  
Sudarshan Ananth ◽  
Stefano Kovacs ◽  
Hidehiko Shimada
Keyword(s):  
Yang Mills

ANTI-SELF-DUAL SOLUTIONS OF THE YANG-MILLS EQUATIONS IN 4n DIMENSIONS

1992 ◽  
Vol 07 (23) ◽  
pp. 2077-2085 ◽  
Author(s):  
A. D. POPOV
Keyword(s):  
Scalar Field ◽  
Euclidean Space ◽  
Lie Algebra ◽  
Linear Equations ◽  
Dual Solutions ◽  
Gauge Fields ◽  
System Of Equations ◽  
Semisimple Lie Algebra ◽  
Yang Mills ◽  
Self Duality

The anti-self-duality equations for gauge fields in d = 4 and a generalization of these equations to dimension d = 4n are considered. For gauge fields with values in an arbitrary semisimple Lie algebra [Formula: see text] we introduce the ansatz which reduces the anti-self-duality equations in the Euclidean space ℝ4n to a system of equations breaking up into the well known Nahm's equations and some linear equations for scalar field φ.

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