Functional renormalization group with a compactly supported smooth regulator function

Nándori, István (2013) Functional renormalization group with a compactly supported smooth regulator function. JOURNAL OF HIGH ENERGY PHYSICS, 2013 (4). ISSN 1126-6708

Preview

Text 1208.5021v4.pdf Available under License Creative Commons Attribution. Download (453kB) | Preview

Abstract

The functional renormalization group equation with a compactly supported smooth (CSS) regulator function is considered. It is demonstrated that in an appropriate limit the CSS regulator recovers the optimized one and it has derivatives of all orders. The more generalized form of the CSS regulator is shown to reduce to all major type of regula- tor functions (exponential, power-law) in appropriate limits. The CSS regulator function is tested by studying the critical behavior of the bosonized two-dimensional quantum elec- trodynamics in the local potential approximation and the sine-Gordon scalar theory for d < 2 dimensions beyond the local potential approximation. It is shown that a similar smoothing problem in nuclear physics has already been solved by introducing the so called Salamon-Vertse potential which can be related to the CSS regulator.

Actions (login required)

Edit Item