Path Integrals in Polar Field Variables in QFT
High Energy Physics - Theory
2009-07-22 v1
Abstract
We show how to transform a -dimensional Euclidean path integral in terms of two (Cartesian) fields to a path integral in terms of polar field variables. First we present a conjecture that states how this transformation should be done. Then we show that this conjecture is correct in the case of two toy models. Finally the conjecture will be proven for a general QFT model with two fields.
Cite
@article{arxiv.0901.0815,
title = {Path Integrals in Polar Field Variables in QFT},
author = {E. N. Argyres and C. G. Papadopoulos and R. H. P. Kleiss and M. T. M. van Kessel},
journal= {arXiv preprint arXiv:0901.0815},
year = {2009}
}