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arXiv · 1411.5073

Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge

M A L Capri·D Fiorentini·S P Sorella
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Abstract

The inverse of the Faddeev-Popov operator plays a pivotal role within the Gribov-Zwanziger approach to the quantization of Euclidean Yang-Mills theories in Landau gauge. Following a recent proposal [Phys. Rev. D90 (2014) 085010], we show that the inverse of the Faddeev-Popov operator can be consistently coupled to quark fields. Such a coupling gives rise to a local action while reproducing the behaviour of the quark propagator observed in lattice numerical simulations in the non-perturbative infrared region. By using the algebraic renormalization framework, we prove that the aforementioned local action is multiplicatively renormalizable to all orders.

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M A L Capri, D Fiorentini, S P Sorella. 2014-11-18. Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge. https://doi.org/10.1016/j.aop.2015.03.006

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