Confinement picture in dual formulation of lattice gauge models

Author(s):  
O. Borisenko ◽  
M. Faber
2018 ◽  
Vol 175 ◽  
pp. 11021 ◽  
Author(s):  
Oleg Borisenko ◽  
Volodymyr Chelnokov ◽  
Sergey Voloshyn

Various approaches to construction of dual formulations of non-abelian lattice gauge theories are reviewed. In the case of U(N) LGT we use a theory of the Weingarten functions to construct a dual formulation. In particular, the dual representations are constructed 1) for pure gauge models in all dimensions, 2) in the strong coupling limit for the models with arbitrary number of flavours and 3) for two-dimensional U(N) QCD with staggered fermions. Applications related to the finite temperature/density QCD are discussed.


1992 ◽  
Vol 07 (18) ◽  
pp. 1601-1607 ◽  
Author(s):  
M. BAIG ◽  
A. TRIAS

We present the first numerical results from a lattice formulation of the Abelian surface gauge model which accounts for three-index fields required in theories based on an antisymmetrical potential. For this purpose we have defined a lattice gauge model in such a way that field variables are assigned to the plaquettes and the interaction is defined through elementary three-dimensional cubes. The phase structure of the Abelian Z(2) case has been determined using Monte-Carlo techniques. Duality relations to spin and gauge models are also studied.


1983 ◽  
Vol 124 (5) ◽  
pp. 394-396 ◽  
Author(s):  
Zhang Yi-Cheng
Keyword(s):  

2019 ◽  
Vol 20 (7) ◽  
pp. 2323-2352
Author(s):  
Paulo A. Faria da Veiga ◽  
Michael O’Carroll

1985 ◽  
Vol 27 (1) ◽  
pp. 145-154 ◽  
Author(s):  
C. J. Hamer ◽  
A. C. Irving
Keyword(s):  

1994 ◽  
Vol 49 (1) ◽  
pp. 535-542 ◽  
Author(s):  
C. J. Hamer ◽  
J. Oitmaa ◽  
Zheng Weihong

1987 ◽  
Vol 145 (1-2) ◽  
pp. 96-104
Author(s):  
R.L. Gibbs ◽  
P.B. Stephenson ◽  
Kelly A. Farrar

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