Analytic calculation of the 1-loop effective action for the O(N+1)-symmetric 2-dimensional nonlinear sigma-model
High Energy Physics - Lattice
2009-10-31 v1
Abstract
Polyakov's calculation of the effective action for the 2d nonlinear sigma-Model is generalized by purely analytic means to include contributions which are not UV-divergent and which depend on the choice of block spin. An analytic approximation to the background field which determines the classical perfect action is given, and approximations to the 1-loop correction are found. The results should be useful for numerical simulations.
Keywords
Cite
@article{arxiv.hep-lat/9912039,
title = {Analytic calculation of the 1-loop effective action for the O(N+1)-symmetric 2-dimensional nonlinear sigma-model},
author = {M. Bartels and G. Mack and G. Palma},
journal= {arXiv preprint arXiv:hep-lat/9912039},
year = {2009}
}
Comments
38 p, 1 figure