THE EXACT RENORMALIZATION GROUP AND APPROXIMATE SOLUTIONS
نویسندگان
چکیده
منابع مشابه
The Exact Renormalization Group and Approximate Solutions
We investigate the structure of Polchinski’s formulation of the flow equations for the continuum Wilson effective action. Reinterpretations in terms of I.R. cutoff greens functions are given. A promising non-perturbative approximation scheme is derived by carefully taking the sharp cutoff limit and expanding in ‘irrelevancy’ of operators. We illustrate with two simple models of four dimensional...
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We study exact renormalization group equations in the framework of the effective average action. We present analytical solutions for the scale dependence of the potential in a variety of models. These solutions display a rich spectrum of physical behaviour such as fixed points governing the universal behaviour near second order phase transitions, critical exponents, first order transitions (som...
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In gauge theories, after integrating over the hard modes, the Wilsonian functional depending on the soft fields satisfies effective Ward identities. We observe that, enlarging the Wilsonian functional in order to include hard fields, the effective Ward identities arise from a non-local symmetry between the hard and soft fields. Using the flow equation technique, we outline a proof in perturbati...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1994
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x94000972