Voloshyn S. Plaquette formulation of nonabelian lattice gauge theories

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U005924

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

18-10-2012

Specialized Academic Board

Д 26.191.01

Bogolybov Institute for Theoretical Physics of NASU

Essay

The thesis deals with the analytical investigation of gauge field theories on the lattice in the plaquette formulation. Plaquette formulation is used to build the dual theory in explicit way because in this case such theory is easy to formulate directly on the dual lattice. As the gauge groups was considered abelian group U(1) and non-abelian SU(N). Perturbation theory for any SU(N) group was elaborated on a basis of the plaquette formulation. For SU(2) case the dual representation was built and also monopole mechanism of the confinement was investigated.

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