On the infrared divergence and global colour in $$ \mathcal{N} $$ = 4 Yang-Mills theory

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.

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Wave packet dynamics in Yang-Mills theory

Physical Review D ◽

10.1103/physrevd.52.2402 ◽

1995 ◽

Vol 52 (4) ◽

pp. 2402-2411 ◽

Cited By ~ 9

Author(s):

C. R. Hu ◽

S. G. Matinyan ◽

B. Müller ◽

A. Trayanov ◽

T. M. Gould ◽

...

Keyword(s):

Wave Packet ◽

Yang Mills ◽

Wave Packet Dynamics

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

Nuclear Physics B ◽

10.1016/j.nuclphysb.2007.04.005 ◽

2007 ◽

Vol 783 (3) ◽

pp. 227-237 ◽

Cited By ~ 16

Author(s):

Sudarshan Ananth ◽

Stefano Kovacs ◽

Hidehiko Shimada

Keyword(s):

Yang Mills

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

Modern Physics Letters A ◽

10.1142/s0217732392001816 ◽

1992 ◽

Vol 07 (23) ◽

pp. 2077-2085 ◽

Cited By ~ 17

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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