Critical Phenomena in Continuous Dimension

Details Critical Phenomena in Continuous Dimension Critical Phenomena in Continuous Dimension

2003-10-23

arxiv.org/abs/hep-th/0310213v2

Phys.Lett. B582 (2004) 144-150

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 figure, PLB version, references added

Scientific paper

10.1016/j.physletb.2003.12.033

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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