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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?
In: Physics Letters B, 2015, 747
doi: 10.26083/tuprints-00012826
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: The dual quark condensate in local and nonlocal NJL models: An order parameter for deconfinement?
Language: English
Date: 2022
Place of Publication: Darmstadt
Year of primary publication: 2015
Publisher: Elsevier
Journal or Publication Title: Physics Letters B
Volume of the journal: 747
DOI: 10.26083/tuprints-00012826
Corresponding Links:
Origin: Secondary publication
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.

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-128265
Additional Information:

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

Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 09 Mar 2022 15:17
Last Modified: 24 Feb 2023 12:37
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/12826
PPN: 505271508
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