The University of Southampton
University of Southampton Institutional Repository

Low mu and imaginary mu signals of a critical point in the phase diagram of an exactly soluble chiral symmetry breaking theory

Low mu and imaginary mu signals of a critical point in the phase diagram of an exactly soluble chiral symmetry breaking theory
Low mu and imaginary mu signals of a critical point in the phase diagram of an exactly soluble chiral symmetry breaking theory
Holography has allowed the exact solution of a small number of largeNcgauge theories. Amongstthese is anN=2 SYM theory of quarks interacting withN=4 gauge fields. The temperature chemicalpotential phase diagram for this theory in the presence of a magnetic field is exactly known andshows first and second order chiral symmetry restoration transitions and a critical point. Herewe extend this phase diagram to imaginary chemical potential to seek structure at small realμand imaginaryμthat help to reconstruct the large realμphase structure. We also explore aphenomenologically deformed version of the theory where the critical point can be moved into theimaginary chemical potential plane. In particular we observe that when the transition is secondorder in these theories there are naturally two distinct transitions - one for the onset of densityand one for chiral symmetry restoration. In addition, the phase diagram has boundaries of regionswhere metastable vacua exist and these boundaries, as well as the phase boundaries, converge atthe critical point. These observations may point to techniques for the study of the QCD criticalpoint either on the lattice or using heavy ion collision data.
1550-7998
Evans, Nicholas
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Russell, Matthew James
75f6d7b8-3063-4d64-ae1a-52be0bb4ad3b
Evans, Nicholas
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Russell, Matthew James
75f6d7b8-3063-4d64-ae1a-52be0bb4ad3b

Evans, Nicholas and Russell, Matthew James (2020) Low mu and imaginary mu signals of a critical point in the phase diagram of an exactly soluble chiral symmetry breaking theory. Physical Review D. (In Press)

Record type: Article

Abstract

Holography has allowed the exact solution of a small number of largeNcgauge theories. Amongstthese is anN=2 SYM theory of quarks interacting withN=4 gauge fields. The temperature chemicalpotential phase diagram for this theory in the presence of a magnetic field is exactly known andshows first and second order chiral symmetry restoration transitions and a critical point. Herewe extend this phase diagram to imaginary chemical potential to seek structure at small realμand imaginaryμthat help to reconstruct the large realμphase structure. We also explore aphenomenologically deformed version of the theory where the critical point can be moved into theimaginary chemical potential plane. In particular we observe that when the transition is secondorder in these theories there are naturally two distinct transitions - one for the onset of densityand one for chiral symmetry restoration. In addition, the phase diagram has boundaries of regionswhere metastable vacua exist and these boundaries, as well as the phase boundaries, converge atthe critical point. These observations may point to techniques for the study of the QCD criticalpoint either on the lattice or using heavy ion collision data.

Text
Low and imaginary signals - Accepted Manuscript
Download (453kB)

More information

Accepted/In Press date: 6 August 2020

Identifiers

Local EPrints ID: 443296
URI: http://eprints.soton.ac.uk/id/eprint/443296
ISSN: 1550-7998
PURE UUID: c3020cae-1710-4421-a129-03a1cb242120

Catalogue record

Date deposited: 20 Aug 2020 16:30
Last modified: 06 Oct 2020 17:56

Export record

Contributors

Author: Nicholas Evans

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×