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

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 (Capri et al., 2014), 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.

Authors:
; ;
Publication Date:
OSTI Identifier:
22451170
Resource Type:
Journal Article
Journal Name:
Annals of Physics
Additional Journal Information:
Journal Volume: 356; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BAG MODEL; COMPUTERIZED SIMULATION; GAUGE INVARIANCE; PROPAGATOR; QUANTIZATION; QUARKS; RENORMALIZATION; YANG-MILLS THEORY

Citation Formats

Capri, M.A.L., E-mail: caprimarcio@gmail.com, Fiorentini, D., E-mail: diegofiorentinia@gmail.com, and Sorella, S.P., E-mail: silvio.sorella@gmail.com. Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge. United States: N. p., 2015. Web. doi:10.1016/J.AOP.2015.03.006.
Capri, M.A.L., E-mail: caprimarcio@gmail.com, Fiorentini, D., E-mail: diegofiorentinia@gmail.com, & Sorella, S.P., E-mail: silvio.sorella@gmail.com. Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge. United States. doi:10.1016/J.AOP.2015.03.006.
Capri, M.A.L., E-mail: caprimarcio@gmail.com, Fiorentini, D., E-mail: diegofiorentinia@gmail.com, and Sorella, S.P., E-mail: silvio.sorella@gmail.com. Fri . "Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge". United States. doi:10.1016/J.AOP.2015.03.006.
@article{osti_22451170,
title = {Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge},
author = {Capri, M.A.L., E-mail: caprimarcio@gmail.com and Fiorentini, D., E-mail: diegofiorentinia@gmail.com and Sorella, S.P., E-mail: silvio.sorella@gmail.com},
abstractNote = {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 (Capri et al., 2014), 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.},
doi = {10.1016/J.AOP.2015.03.006},
journal = {Annals of Physics},
issn = {0003-4916},
number = ,
volume = 356,
place = {United States},
year = {2015},
month = {5}
}