Dyson-Schwinger Equations with a Parameterized Metric
High Energy Physics - Phenomenology
2011-10-18 v2
Abstract
We construct and solve the Dyson-Schwinger equation (DSE) of quark propagator with a parameterized metric, which connects the Euclidean metric with the Minkowskian one. We show, in some models, the Minkowskian vacuum is different from the Euclidean vacuum. The usual analytic continuation of Green function does not make sense in these cases. While with the algorithm we proposed and the quark-gluon vertex ansatz which preserves the Ward-Takahashi identity, the vacuum keeps being unchanged in the evolution of the metric. In this case, analytic continuation becomes meaningful and can be fully carried out.
Keywords
Cite
@article{arxiv.1005.4352,
title = {Dyson-Schwinger Equations with a Parameterized Metric},
author = {Wei Yuan and Si-xue Qin and Huan Chen and Yu-xin Liu},
journal= {arXiv preprint arXiv:1005.4352},
year = {2011}
}
Comments
10 pages, 7 figures. To appear in Physical Review D