scholarly journals Electric-magnetic asymmetry of the dimension-2 condensate and the phases of Yang-Mills theory

2012 ◽  
Author(s):  
Maxim N. Chernodub ◽  
Ernst-Michael Ilgenfritz
Keyword(s):  
Yang Mills ◽  
Dimension 2 ◽  
Magnetic Asymmetry

The Palais–Smale conditions for the Yang–Mills functional

1988 ◽  
Vol 108 (3-4) ◽  
pp. 189-200
Author(s):  
D. R. Wilkins
Keyword(s):  
Riemannian Manifold ◽  
Principal Bundle ◽  
Compact Riemannian Manifold ◽  
Hilbert Manifold ◽  
Yang Mills ◽  
Palais Smale Condition ◽  
Dimension 2

SynopsisWe consider the Yang–Mills functional denned on connections on a principal bundle over a compact Riemannian manifold of dimension 2 or 3. It is shown that if we consider the Yang–Mills functional as being defined on an appropriate Hilbert manifold of orbits of connections under the action of the group of principal bundle automorphisms, then the functional satisfies the Palais–Smale condition.

scholarly journals Non-perturbative propagators and dimension 2 condensate in Yang-Mills theory

2004 ◽  
Vol 129-130 ◽  
pp. 718-720 ◽  
Author(s):  
Takeharu Murakami ◽  
Kei-ichi Kondo ◽  
Toru Shinohara ◽  
Akihiro Shibata
Keyword(s):  
Yang Mills ◽  
Dimension 2

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.

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