Berezinskii—Kosterlitz—Thouless phase transition in systems with exotic symmetries

Bulgadaev, S. A.
May 1996
JETP Letters;5/10/96, Vol. 63 Issue 9, p780
Academic Journal
A Berezinksiî—Kosterlitz—Thouless phase transition in systems with the exceptional symmetry groups G=E[sub 6,7,8,] G[sub 2], and F[sub 2] is studied. The critical exponents and the exponents of the logarithmic corrections to the correlation functions at the transition point are found by the renormalization-group method. It is shown that for G = A, D, and E the critical exponents can be expressed in terms of the Coxeter numbers h[sub G] (or the values of the Casimir operator in the adjoint representation K[sup G, sub 2]).


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