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Proper time regulator and Renormalization Group flow

M. Mazza·D. Zappala'
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Abstract

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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M. Mazza, D. Zappala'. 2001-06-25. Proper time regulator and Renormalization Group flow. https://doi.org/10.1103/physrevd.64.105013

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