Critical Exponents without the Epsilon Expansion

Details Critical Exponents without the Epsilon Expansion Critical Exponents without the Epsilon Expansion

1994-03-22

arxiv.org/abs/hep-ph/9403324v1

Phys.Lett. B336 (1994) 237-242

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, CLNS 94/1279, latex

Scientific paper

10.1016/0370-2693(94)01005-6

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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