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arXiv · hep-th/0310213

Critical Phenomena in Continuous Dimension

H. Ballhausen·J. Berges·C. Wetterich
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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.

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H. Ballhausen, J. Berges, C. Wetterich. 2004-01-27. Critical Phenomena in Continuous Dimension. https://doi.org/10.1016/j.physletb.2003.12.033

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