Dyson-Schwinger Equations with a Parameterized Metric

Details Dyson-Schwinger Equations with a Parameterized Metric Dyson-Schwinger Equations with a Parameterized Metric

2010-05-24

arxiv.org/abs/1005.4352v2

Phys.Rev.D81:114022,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 7 figures. To appear in Physical Review D

Scientific paper

10.1103/PhysRevD.81.114022

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.

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