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Inverse magnetic catalysis in bottom-up holographic QCD

Inverse magnetic catalysis in bottom-up holographic QCD
Inverse magnetic catalysis in bottom-up holographic QCD
We explore the effect of magnetic field on chiral condensation in QCD via a simple bottom-up holographic model which inputs QCD dynamics through the running of the anomalous dimension of the quark bilinear. Bottom-up holography is a form of effective field theory and we use it to explore the dependence on the coefficients of the two lowest order terms linking the magnetic field and the quark condensate. In the massless theory, we identify a region of parameter space where magnetic catalysis occurs at zero temperature but inverse magnetic catalysis at temperatures of order the thermal phase transition. The model shows similar nonmonotonic behavior in the condensate with B at intermediate T as the lattice data. This behavior is due to the separation of the transition at which a thermal width develops for the mesons and the chiral transition in the holographic framework. The introduction of quark mass raises the scale of B where inverse catalysis takes over from catalysis until the inverse catalysis lies outside the regime of validity of the effective description leaving just catalysis.
1550-7998
1-9
Evans, Nicholas
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Miller, Carlisson
37b984a2-4b24-4d92-853c-f79e25314c5e
Scott, Marc
4a6abe2e-59fb-4a70-8452-7c13bd0c5ce2
Evans, Nicholas
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Miller, Carlisson
37b984a2-4b24-4d92-853c-f79e25314c5e
Scott, Marc
4a6abe2e-59fb-4a70-8452-7c13bd0c5ce2

Evans, Nicholas, Miller, Carlisson and Scott, Marc (2016) Inverse magnetic catalysis in bottom-up holographic QCD. Physical Review D, 94 (74034), 1-9. (doi:10.1103/PhysRevD.94.074034).

Record type: Article

Abstract

We explore the effect of magnetic field on chiral condensation in QCD via a simple bottom-up holographic model which inputs QCD dynamics through the running of the anomalous dimension of the quark bilinear. Bottom-up holography is a form of effective field theory and we use it to explore the dependence on the coefficients of the two lowest order terms linking the magnetic field and the quark condensate. In the massless theory, we identify a region of parameter space where magnetic catalysis occurs at zero temperature but inverse magnetic catalysis at temperatures of order the thermal phase transition. The model shows similar nonmonotonic behavior in the condensate with B at intermediate T as the lattice data. This behavior is due to the separation of the transition at which a thermal width develops for the mesons and the chiral transition in the holographic framework. The introduction of quark mass raises the scale of B where inverse catalysis takes over from catalysis until the inverse catalysis lies outside the regime of validity of the effective description leaving just catalysis.

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Accepted/In Press date: 5 October 2016
e-pub ahead of print date: 21 October 2016
Organisations: Theoretical Partical Physics Group

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Local EPrints ID: 401891
URI: https://eprints.soton.ac.uk/id/eprint/401891
ISSN: 1550-7998
PURE UUID: c4313a5b-3ea9-4e84-8fd3-2a98b6e128b2

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Date deposited: 24 Oct 2016 15:12
Last modified: 14 Aug 2019 18:04

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Contributors

Author: Nicholas Evans
Author: Carlisson Miller
Author: Marc Scott

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