HAL : hal-00217369, version 1

arXiv : 0706.0990

DOI : 10.1016/j.nuclphysb.2007.07.005

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Nuclear Physics B 789 (2008) 525

Analytical approximation schemes for solving exact renormalization group equations in the local potential approximation

C. Bervillier 1, B. Boisseau 1, H. Giacomini 1

(2008)

The relation between the Wilson-Polchinski and the Litim optimized ERGEs in the local potential approximation is studied with high accuracy using two different analytical approaches based on a field expansion: a recently proposed genuine analytical approximation scheme to two-point boundary value problems of ordinary differential equations, and a new one based on approximating the solution by generalized hypergeometric functions. A comparison with the numerical results obtained with the shooting method is made. A similar accuracy is reached in each case. Both two methods appear to be more efficient than the usual field expansions frequently used in the current studies of ERGEs (in particular for the Wilson-Polchinski case in the study of which they fail).

1 :	Laboratoire de Mathématiques et Physique Théorique (LMPT)
	CNRS : UMR6083 – Université François Rabelais - Tours

Domaine

:

Physique/Physique des Hautes Energies - Théorie

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Contributeur : Claude Bervillier <>

Soumis le : Vendredi 25 Janvier 2008, 10:33:21

Dernière modification le : Vendredi 25 Janvier 2008, 10:33:21