Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge
arXiv:1411.5073 · doi:10.1016/j.aop.2015.03.006
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.
17 pages
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