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Journal Article

Manifestly gauge-covariant representation of scalar and fermion propagators

MPS-Authors

Latosinski,  Adam
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1509.01414.pdf
(Preprint), 210KB

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Citation

Latosinski, A. (2016). Manifestly gauge-covariant representation of scalar and fermion propagators. Physical Review D, 93: 025031. doi:10.1103/PhysRevD.93.025031.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0028-FE60-0
Abstract
A new way to write the massive scalar and fermion propagators on a background of a weak gauge field is presented. They are written in a form that is manifestly gauge-covariant up to several additional terms that can be written as boundary terms in momentum space. These additional terms violate Ward-Takahashi identities and need to be renormalized by appropriate counterterms if the complete theory is to be gauge-covariant. This form makes it possible to calculate many amplitudes in a manifestly gauge-covariant way (at the same time reducing the number of Feynman diagrams). It also allows to express some counterterms in a way independent of the regularization scheme and provides an easy way to derive the anomalous term affecting the chiral current conservation.