paper

Critical Phenomena in Continuous Dimension

arXiv:hep-th/0310213 · doi:10.1016/j.physletb.2003.12.033

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.

5 pages, 1 figure, PLB version, references added

Critical Phenomena in Continuous Dimension · wovepaper