Critical Phenomena in Continuous Dimension
High Energy Physics - Theory
2009-11-10 v2 Statistical Mechanics
High Energy Physics - Phenomenology
Abstract
We present a calculation of critical phenomena directly in continuous dimension d employing an exact renormalization group equation for the effective average action. For an Ising-type scalar field theory we calculate the critical exponents nu(d) and eta(d) both from a lowest--order and a complete first--order derivative expansion of the effective average action. In particular, this can be used to study critical behavior as a function of dimensionality at fixed temperature.
Cite
@article{arxiv.hep-th/0310213,
title = {Critical Phenomena in Continuous Dimension},
author = {H. Ballhausen and J. Berges and C. Wetterich},
journal= {arXiv preprint arXiv:hep-th/0310213},
year = {2009}
}
Comments
5 pages, 1 figure, PLB version, references added