Strong-coupling series for Abelian lattice gauge models in 3+1 dimensions

1994 ◽  
Vol 49 (1) ◽  
pp. 535-542 ◽  
Author(s):  
C. J. Hamer ◽  
J. Oitmaa ◽  
Zheng Weihong
1977 ◽  
Vol 19 (2) ◽  
pp. 55-58 ◽  
Author(s):  
G. F. de Angelis ◽  
D. de Falco ◽  
F. Guerra

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.


1979 ◽  
Vol 161 (2-3) ◽  
pp. 397-416 ◽  
Author(s):  
J.-M. Drouffe ◽  
G. Parisi ◽  
N. Sourlas

2018 ◽  
Vol 175 ◽  
pp. 11004 ◽  
Author(s):  
Erhard Seiler ◽  
Jacek Wosiek

A positive representation for a set of complex densities is constructed. In particular, complex measures on a direct product ofU(1) groups are studied. After identifying general conditions which such representations should satisfy, several concrete realizations are proposed. Their utility is illustrated in few concrete examples representing problems in abelian lattice gauge theories.


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