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Gauge Covariant Fermion Propagator in the Presence of Arbitrary External Gauge Field and Its Schwinger--Dyson Equation |
| ZHANG Ying;WANG Qing |
| Department of Physics, Tsinghua University, Beijing 100084Center for High Energy Physics, Tsinghua University, Beijing 100084 |
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| Cite this article: |
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ZHANG Ying, WANG Qing 2008 Chin. Phys. Lett. 25 1227-1230 |
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Abstract Gauge covariance for Green's functions of a gauge theory through a fermion propagator in the presence of arbitrary external gauge field is proven and a formalism of gauge and Lorentz covariant Schwinger--Dyson equation for the fermion propagator with external gauge field is built up within ladder approximation.
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| Keywords:
11.15.Tk
12.20.-m
12.20.Ds
12.38.Lg
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Received: 25 December 2007
Published: 31 March 2008
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| PACS: |
11.15.Tk
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(Other nonperturbative techniques)
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12.20.-m
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(Quantum electrodynamics)
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12.20.Ds
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(Specific calculations)
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12.38.Lg
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(Other nonperturbative calculations)
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[1] Ward J C 1950 Phys. Rev. 78 182 Takahashi Y 1957 Nuovo Cimento 6 371
[2] An Y H, Yang H and Wang Q 2003 Eur. Phys. J. C 29 65 |
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