Critical Exponents from Dimensional Variation

H. Ballhausen

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arXiv · hep-th/0310239

Critical Exponents from Dimensional Variation

H. Ballhausen

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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.

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H. Ballhausen. 2003-10-26. Critical Exponents from Dimensional Variation. https://arxiv.org/abs/hep-th/0310239

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