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arXiv · hep-ph/9403324

Critical Exponents without the Epsilon Expansion

Mark Alford
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Abstract

We argue that the sharp-cutoff Wilson renormalization group provides a powerful tool for the analysis of second-order and weakly first-order phase transitions. In particular, in a computation no harder than the calculation of the 1-loop effective potential, we show that the Wilson RG yields the fixed point couplings and critical exponents of 3-dimensional $O(N)$ scalar field theory, with results close to those obtained in high-order $\ep$-% expansion and large-$N$ calculations. We discuss the prospects for an even more precise computation.

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Mark Alford. 1994-03-22. Critical Exponents without the Epsilon Expansion. https://doi.org/10.1016/0370-2693(94)01005-6

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