# 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}

}

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