Fluctuations around a meron solution in euclidean Yang-Mills theory

1982 ◽  
Vol 52 (2) ◽  
pp. 767-772 ◽  
Author(s):  
R. G. Ismagilov ◽  
V. A. Franke
Keyword(s):  
Yang Mills ◽  
Meron Solution

Geometry of the SU (2) Di-Meron Solution

1986 ◽  
Vol 41 (4) ◽  
pp. 571-584
Author(s):  
R. Brucker ◽  
M. Sorg
Keyword(s):  
Symmetric Space ◽  
Geometric Structure ◽  
Analytic Form ◽  
Riemannian Structure ◽  
Conformally Flat ◽  
Geometric Properties ◽  
Yang Mills ◽  
Locally Symmetric Space ◽  
Meron Solution

The geometric properties of the di-m eron solution to the SU (2) Yang-Mills equations are studied in detail. The essential geometric structure of this solution is that of a locally symmetric space endowed with a Riemannian structure which is conformally flat. The di-meron solution is representable by an integrable 3-distribution over Euclidean 4-space. The corresponding integral surfaces are obtained in analytic form.

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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