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The dual quark condensate in local and nonlocal NJL models: An order parameter for deconfinement?

Marquez, Federico ; Ahmad, Aftab ; Buballa, Michael ; Raya, Alfredo (2022):
The dual quark condensate in local and nonlocal NJL models: An order parameter for deconfinement? (Publisher's Version)
In: Physics Letters B, 747, pp. 529-535. Elsevier, ISSN 0370-2693, e-ISSN 1873-2445,
DOI: 10.26083/tuprints-00012826,
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Item Type: Article
Origin: Secondary publication
Status: Publisher's Version
Title: The dual quark condensate in local and nonlocal NJL models: An order parameter for deconfinement?
Language: English
Abstract:

We study the behavior of the dual quark condensate ∑1 in the Nambu–Jona-Lasinio (NJL) model and its nonlocal variant. In quantum chromodynamics ∑1 can be related to the breaking of the center symmetry and is therefore an (approximate) order parameter of confinement. The deconfinement transition is then signaled by a strong rise of ∑1 as a function of temperature. However, a similar behavior is also seen in the NJL model, which is known to have no confinement. Indeed, it was shown that in this model the rise of ∑1 is triggered by the chiral phase transition. In order to shed more light on this issue, we calculate ∑1 for several variants of the NJL model, some of which have been suggested to be confining. Switching between “confining” and “non-confining” models and parametrizations we find no qualitative difference in the behavior of ∑1, namely, it always rises in the region of the chiral phase transition. We conclude that without having established a relation to the center symmetry in a given model, ∑1 should not blindly be regarded as an order parameter of confinement.

Journal or Publication Title: Physics Letters B
Journal volume: 747
Publisher: Elsevier
Classification DDC: 500 Naturwissenschaften und Mathematik > 530 Physik
Divisions: 05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 09 Mar 2022 15:17
Last Modified: 10 Mar 2022 09:56
DOI: 10.26083/tuprints-00012826
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-128265
Additional Information:

Keywords: Chiral symmetry breaking, Confinement–deconfinement, Order parameters

URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/12826
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