Condensed Matter Physics, 1997, No 10, p. 143-164, English
DOI:10.5488/CMP.10.143
Title: SPECIAL SURFACE TRANSITION: MASSIVE FIELD THEORY AND
CRITICAL EXPONENTS IN THREE DIMENSIONS
Authors: M.Shpot (Institute for Condensed Matter Physics of the
Ukrainian National
Academy of Sciences, 1 Svientsitskii str., UA-290011 Lviv-11, Ukraine)
The surface critical behaviour is studied directly
in fixed spatial dimensions d=4-\epsilon<4 without resort to the
\epsilon expansion. Generalization of the massive field theory approach
appropriate to the description of the standard
semi-infinite n-vector model with the surface term
\case{1}{2}c_0\int_{\partial V}\phi^2 is presented.
This involves an additive shift of the surface enhancement c_0
similar to the bare mass shift in superrenormalizable field theories.
Explicit two-loop calculations in three space dimensions
yield numerical estimates of surface critical exponents
of the special phase transition. Our results are
in good agreement with the most recent Monte Carlo simulations.
Comments: Figs. 0, Refs. 44, Tabs. 5.