Smooth cutoff formulation of hierarchical reference theory for a scalar phi4 field theory

Details Smooth cutoff formulation of hierarchical reference theory for a scalar phi4 field theory Smooth cutoff formulation of hierarchical reference theory for a scalar phi4 field theory

2007-09-13

arxiv.org/abs/0709.2024v1

Phys.Rev.E76:031113,2007

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures

Scientific paper

10.1103/PhysRevE.76.031113

The phi4 scalar field theory in three dimensions, prototype for the study of phase transitions, is investigated by means of the hierarchical reference theory (HRT) in its smooth cutoff formulation. The critical behavior is described by scaling laws and critical exponents which compare favorably with the known values of the Ising universality class. The inverse susceptibility vanishes identically inside the coexistence curve, providing a first principle implementation of the Maxwell construction, and shows the expected discontinuity across the phase boundary, at variance with the usual sharp cutoff implementation of HRT. The correct description of first and second order phase transitions within a microscopic, nonperturbative approach is thus achieved in the smooth cutoff HRT.

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