Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-10-14
Phys.Rev.Lett.72:506-509,1994
Physics
High Energy Physics
High Energy Physics - Theory
10 pages of Plain Tex, Postscript figures available upon request from denjoe@stp.dias.ie, preprint numbers THU-93/18, DIAS-STP
Scientific paper
10.1103/PhysRevLett.72.506
Series for the Wilson functions of an ``environmentally friendly'' renormalization group are computed to two loops, for an $O(N)$ vector model, in terms of the ``floating coupling'', and resummed by the Pad\'e method to yield crossover exponents for finite size and quantum systems. The resulting effective exponents obey all scaling laws, including hyperscaling in terms of an effective dimensionality, ${d\ef}=4-\gl$, which represents the crossover in the leading irrelevant operator, and are in excellent agreement with known results.
O'Connor Denjoe
Stephens Christopher R.
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