Path-integral over non-linearly realized groups and Hierarchy solutions
High Energy Physics - Theory
2010-10-27 v1 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
The technical problem of deriving the full Green functions of the elementary pion fields of the nonlinear sigma model in terms of ancestor amplitudes involving only the flat connection and the nonlinear sigma model constraint is a very complex task. In this paper we solve this problem by integrating, order by order in the perturbative loop expansion, the local functional equation derived from the invariance of the SU(2) Haar measure under local left multiplication. This yields the perturbative definition of the path-integral over the non-linearly realized SU(2) group.
Keywords
Cite
@article{arxiv.hep-th/0701212,
title = {Path-integral over non-linearly realized groups and Hierarchy solutions},
author = {Daniele Bettinelli and Ruggero Ferrari and Andrea Quadri},
journal= {arXiv preprint arXiv:hep-th/0701212},
year = {2010}
}
Comments
26 pages