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Holographic Nambu Jona-Lasinio interactions

Holographic Nambu Jona-Lasinio interactions
Holographic Nambu Jona-Lasinio interactions
Nambu–Jona-Lasinio (NJL) interactions are introduced into the D3/probe D7 system using Witten’s double trace operator prescription which includes the operator as a classical term in the effective potential. In the supersymmetric system the interactions do not induce chiral symmetry breaking, which we attribute to the flat effective potential with quark mass in the supersymmetric theory. If additional supersymmetry breaking is introduced, then standard NJL behavior is realized. In examples where chiral symmetry breaking is not preferred, such as with a B field plus an IR cutoff, chiral condensation is triggered by the NJL interaction at a second-order transition after a finite critical coupling. If the model already contains chiral symmetry breaking, for example in the B field case with no IR cutoff, then the NJL interaction enhances the quark mass at all values of the NJL coupling. We also consider the system at finite temperature: the temperature discourages condensation, but when combined with a magnetic field, we find regions of parameter space where the NJL interaction triggers a first-order chiral transition above a critical coupling.
1550-7998
1-7
Evans, Nicholas
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Young, Keun
122a4f92-f849-49ba-a29f-c9949f709c3a
Evans, Nicholas
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Young, Keun
122a4f92-f849-49ba-a29f-c9949f709c3a

Evans, Nicholas and Young, Keun (2016) Holographic Nambu Jona-Lasinio interactions. Physical Review D, 93 (66002), 1-7. (doi:10.1103/PhysRevD.93.066002).

Record type: Article

Abstract

Nambu–Jona-Lasinio (NJL) interactions are introduced into the D3/probe D7 system using Witten’s double trace operator prescription which includes the operator as a classical term in the effective potential. In the supersymmetric system the interactions do not induce chiral symmetry breaking, which we attribute to the flat effective potential with quark mass in the supersymmetric theory. If additional supersymmetry breaking is introduced, then standard NJL behavior is realized. In examples where chiral symmetry breaking is not preferred, such as with a B field plus an IR cutoff, chiral condensation is triggered by the NJL interaction at a second-order transition after a finite critical coupling. If the model already contains chiral symmetry breaking, for example in the B field case with no IR cutoff, then the NJL interaction enhances the quark mass at all values of the NJL coupling. We also consider the system at finite temperature: the temperature discourages condensation, but when combined with a magnetic field, we find regions of parameter space where the NJL interaction triggers a first-order chiral transition above a critical coupling.

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Accepted/In Press date: 27 February 2016
Published date: 15 March 2016
Organisations: Theoretical Partical Physics Group

Identifiers

Local EPrints ID: 397417
URI: https://eprints.soton.ac.uk/id/eprint/397417
ISSN: 1550-7998
PURE UUID: aa3441ff-5c62-4d28-b5bc-e9e3f3993b6b

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Date deposited: 01 Jul 2016 08:30
Last modified: 17 Jul 2019 19:42

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