Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-07
Nucl.Phys.B789:525-551,2008
Physics
High Energy Physics
High Energy Physics - Theory
Final version to appear in Nucl. Phys. B. Some references added correctly
Scientific paper
10.1016/j.nuclphysb.2007.07.005
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).
Bervillier Claude
Boisseau Bruno
Giacomini Hector
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