Work

Dyson-Schwinger equations with a parametrized metric

Year: 2010

Type: article

Abstract: We construct and solve the Dyson-Schwinger equation of a quark propagator with a parameterized metric, which connects the Euclidean metric with the Minkowskian one. We show, in some models, that the Minkowskian vacuum is different from the Euclidean vacuum. The usual analytic continuation of the Green function does not make sense in these cases. While with the algorithm we proposed and the quark-gluon vertex ans\"atz 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.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.81.114022

Authors: Wei Yuan, Si-xue Qin, Huan Chen, Yu-xin Liu

Institutions: Peking University, State Key Laboratory of Nuclear Physics and Technology, Chinese Academy of Sciences, Institute of High Energy Physics

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2049467417

FWCI: 0.184

Cites: 27

Cited by: 1

Related to: 10