Efficient Evaluation of Effective Action in Radial Backgrounds
Abstract
Recently a new caculational scheme for effective actions in radial background fields was developed. The effective action is expressed as an infinite sum of partial-wave contributions, using the rotational symmetry of the system. The sum becomes convergent after proper regularization and renormalization, but the rate of convergence is rather slow. We introduce a systematic way of accelerating the rate of convergence. This method is based on a radial WKB series in the angular momentum cut-off. We demonstrate the power of this scheme by applying it to the calculation of instanton determinant in QCD.
Cite
@article{arxiv.0912.0084,
title = {Efficient Evaluation of Effective Action in Radial Backgrounds},
author = {Hyunsoo Min},
journal= {arXiv preprint arXiv:0912.0084},
year = {2017}
}
Comments
5 pages, 1 figuers. Talk given at the Ninth Conference on Quantum Field Theory under the Influence of External Conditions, 21-25 September 2009, Oklahoma, USA