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Critical Exponents from Dimensional Variation

High Energy Physics - Theory 2007-05-23 v1

Abstract

Recent work on exact renormalization group flow equations has pointed out the possibility to study critical phenomena in continuous dimension D of space. In an investigation of the O(N) model the dimension N of the fields may be seen as a continuous parameter as well. One may conjecture that a variation of D or N in the vicinity of a second order phase transition yields the same critical exponents as a variation of the temperature. A numerical computation confirms this.

Keywords

Cite

@article{arxiv.hep-th/0310239,
  title  = {Critical Exponents from Dimensional Variation},
  author = {H. Ballhausen},
  journal= {arXiv preprint arXiv:hep-th/0310239},
  year   = {2007}
}

Comments

2 pages, 1 figure