Proper time regulator and Renormalization Group flow

Details Proper time regulator and Renormalization Group flow Proper time regulator and Renormalization Group flow

2001-06-25

arxiv.org/abs/hep-th/0106230v1

Phys.Rev. D64 (2001) 105013

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 4 eps figures

Scientific paper

10.1103/PhysRevD.64.105013

We consider some applications of the Renormalization Group flow equations obtained by resorting to a specific class of proper time regulators. Within this class a particular limit that corresponds to a sharpening of the effective width of the regulator is investigated and a procedure to analytically implement this limit on the flow equations is shown. We focus on the critical exponents determination for the O(N) symmetric scalar theory in three dimensions. The large N limit and some perturbative features in four dimensions are also analysed. In all problems examined the results are optimized when the mentioned limit of the proper time regulator is taken.

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