Analytical solutions of exact renormalization group equations
نویسندگان
چکیده
منابع مشابه
Analytical Solutions of Exact Renormalization Group Equations
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...
متن کاملApproximate Solutions of Exact Renormalization Group Equations
We study exact renormalization group equations in the framework of the effective average action. We present analytical approximate 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 tran...
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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 present a new efficient analytical approximation scheme to two-point boundary value problems of ordinary differential equations (ODEs) adapted to the study of the derivative expansion of the exact renormalization group equations. It is based on a compactification of the complex plane of the independent variable using a mapping of an angular sector onto a unit disc. We explicitly treat, for t...
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This is a very brief introduction to Wilson’s Renormalization Group with emphasis on mathematical developments.
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1996
ISSN: 0550-3213
DOI: 10.1016/0550-3213(95)00642-7