Surface critical behavior in fixed dimensions d < 4: Nonanalyticity of critical surface enhancement and massive field theory approach

The critical behavior of semi-infinite systems in fixed dimensions d<4 is investigated theoretically. The appropriate extension of Parisi's massive field theory approach is presented. Two-loop calculations and subsequent Padé-Borel analyses of surface critical exponents of the special and ordinary phase transitions yield estimates in reasonable agreement with recent Monte Carlo results. This includes the crossover exponent Φ(d=3), for which we obtain the values Φ(n=1)≃0.54 and Φ(n=0)≃0.52, considerably lower than the previous ε-expansion estimates.

Note:

Latex with Revtex-Stylefiles, 4 pages

field theory: massive
massive: field theory
dimension: <4
critical phenomena: surface
phi**n model: 4
renormalization group
regularization: dimensional
perturbation theory: higher-order
analytic properties
numerical calculations

References(21)

Figures(0)

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