Extracting topological information from momentum space propagators
High Energy Physics - Theory
2019-10-18 v2 Mathematical Physics
math.MP
Abstract
A new topological invariant quantity, sensitive to the analytic structure of both fermionic and bosonic propagators, is proposed. The gauge invariance of our construct is guaranteed for at least small gauge transformations. A generalization compatible with the presence of complex poles is introduced and applied to the classification of propagators typically emerging from non-perturbative considerations. We present partial evidence that the topological number can be used to detect chiral symmetry breaking or deconfinement.
Cite
@article{arxiv.1907.07697,
title = {Extracting topological information from momentum space propagators},
author = {Fabrizio Canfora and David Dudal and Alex Giacomini and Igor F. Justo and Pablo Pais and Luigi Rosa},
journal= {arXiv preprint arXiv:1907.07697},
year = {2019}
}
Comments
18 pages, 2 figures. Comments added and relevant references included