Chelnokov V. Infinite order phase transitions in abelian lattice models

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0414U004122

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

18-09-2014

Specialized Academic Board

Д 26.191.01

Bogolybov Institute for Theoretical Physics of NASU

Essay

The thesis is devoted to the study of deconfinement phase transitions in three-dimensional abelian gauge theories. From the solutions of the renormalization group equations critical indices of the phase transitions in 2d Z(N) model and 3d U(1) gauge theories are extracted. An improvement to the phenomenological renormalization group is proposed and used to estimate critical constants and critical indices in Z(N) models. For 2d Z(N) spin models and 3d Z(N) gauge theories critical coupling constants and critical indices of the phase transitions are obtained using numerical simulations.

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