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
Artikel, Zweitveröffentlichung, Verlagsversion
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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: | 2022 |
| Autor(en): | Marquez, Federico ; Ahmad, Aftab ; Buballa, Michael ; Raya, Alfredo |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | The dual quark condensate in local and nonlocal NJL models: An order parameter for deconfinement? |
| Sprache: | Englisch |
| Publikationsjahr: | 2022 |
| Publikationsdatum der Erstveröffentlichung: | 2015 |
| Verlag: | Elsevier |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Physics Letters B |
| Jahrgang/Volume einer Zeitschrift: | 747 |
| DOI: | 10.26083/tuprints-00012826 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/12826 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung |
| 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. |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-128265 |
| 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: | 09 Mär 2022 15:17 |
| Letzte Änderung: | 10 Mär 2022 08:28 |
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- The dual quark condensate in local and nonlocal NJL models: An order parameter for deconfinement? (deposited 09 Mär 2022 15:17) [Gegenwärtig angezeigt]
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