Path Integrals in Polar Field Variables in QFT

Details Path Integrals in Polar Field Variables in QFT Path Integrals in Polar Field Variables in QFT

2009-01-07

arxiv.org/abs/0901.0815v1

Eur.Phys.J.C61:495-518,2009

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1140/epjc/s10052-009-0998-y

We show how to transform a $d$-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.

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