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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 (2015)
The dual quark condensate in local and nonlocal NJL models: An order parameter for deconfinement?
In: Physics Letters B, 747
doi: 10.1016/j.physletb.2015.06.031
Artikel, Bibliographie

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Kurzbeschreibung (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.

Typ des Eintrags: Artikel
Erschienen: 2015
Autor(en): Marquez, Federico ; Ahmad, Aftab ; Buballa, Michael ; Raya, Alfredo
Art des Eintrags: Bibliographie
Titel: The dual quark condensate in local and nonlocal NJL models: An order parameter for deconfinement?
Sprache: Englisch
Publikationsjahr: 2015
Verlag: Elsevier
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Physics Letters B
Jahrgang/Volume einer Zeitschrift: 747
DOI: 10.1016/j.physletb.2015.06.031
Zugehörige Links:
Kurzbeschreibung (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.

Zusätzliche Informationen:

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

Sachgruppe der Dewey Dezimalklassifikatin (DDC): 500 Naturwissenschaften und Mathematik > 530 Physik
Fachbereich(e)/-gebiet(e): 05 Fachbereich Physik
05 Fachbereich Physik > Institut für Kernphysik
Hinterlegungsdatum: 02 Aug 2024 12:38
Letzte Änderung: 02 Aug 2024 12:38
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