Speaker
Oleg Borisenko
(Bogolyubov Institute for Theoretical Physics, Academy of Sciences of Ukraine)
Description
A dual formulation of U(N) and SU(N) Polyakov loop models
is constructed for all N and in any number of dimensions.
The construction is based on the theory of the Weingarten
functions. In the case of a complex external field a sufficient
condition for the dual Boltzmann weight to be positive is derived.
As an application of the dual formulation we report on the exact
solution of U(N) models in the large-N limit. Also, we calculate
the first correction to the large-N limit for SU(N) models.
Primary author
Oleg Borisenko
(Bogolyubov Institute for Theoretical Physics, Academy of Sciences of Ukraine)
Co-authors
Dr
Sergey Voloshin
(Bogolyubov Institute for Theoretical Physics, Academy of Sciences of Ukraine)
Volodymyr Chelnokov
(Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine)
