Gauge and Lorentz covariant quark propagator in an arbitrary gluon fieldY.-H. An1, H. Yang1, 2 and Q. Wang1, 3
1 Department of Physics, Tsinghua University, Beijing 100084, P.R. China (Mailing address)
2 Science School, Information Engineering University, Zhengzhou 450001, P.R. China
3 Institute of Theoretical Physics, Academia Sinica, Beijing 100080, P.R. China
(Received: 5 February 2003 / Published online: 23 May 2003 )
The quark propagator in the presence of an arbitrary gluon field is calculated gauge and Lorentz covariantly order by order in terms of powers of the gluon field and its derivatives. The result is independent of the path connecting the ends of the propagator, and the leading order result coincides with the exact propagator in the trivial case of a vanishing gluon field.
© Società Italiana di Fisica, Springer-Verlag 2003