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

Journal Article · Fri May 15 00:00:00 EDT 2015 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2015.03.006· OSTI ID:22451170

Capri, M. A.L.,

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.

• OSTI ID: 22451170
• Journal Information: Annals of Physics, Vol. 356; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BAG MODEL
COMPUTERIZED SIMULATION
GAUGE INVARIANCE
PROPAGATOR
QUANTIZATION
QUARKS
RENORMALIZATION
YANG-MILLS THEORY