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Home > Nuclear Physics B (Elsevier) > Vector-scalar mixing to all orders for an arbitrary gauge model in the generic linear gauge |

Lewandowski, Adrian (Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland)

02 May 2019

**Abstract: **I give explicit formulae for full propagators of vector and scalar fields in a generic spin-1 gauge model quantized in an arbitrary linear covariant gauge. The propagators, expressed in terms of all-order one-particle-irreducible correlation functions, have a remarkably simple form because of constraints originating from Slavnov-Taylor identities of Becchi-Rouet-Stora symmetry. I also determine the behavior of the propagators in the neighborhood of the poles, and give a simple prescription for the coefficients that generalize (to the case with an arbitrary vector-scalar mixing) the standard Z factors of Lehmann, Symanzik and Zimmermann. So obtained generalized Z factors, are indispensable to the correct extraction of physical amplitudes from the amputated correlation functions in the presence of mixing.

**Published in: ****Nuclear Physics B (2019)**
**Published by: **Elsevier

**DOI: **10.1016/j.nuclphysb.2019.114622

**License: **CC-BY-3.0