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

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

Nick Evans
(
- Southampton U.
)
,
M.J. Russell
(
- Southampton U.
)

Jun 3, 2020

13 pages

Published in:

Phys.Rev.D 102 (2020) 4, 046018

Published: Aug 28, 2020

e-Print:

2006.02117 [hep-th]

DOI:

10.1103/PhysRevD.102.046018

View in:

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Abstract: (APS)

Holography has allowed the exact solution of a small number of large Nc gauge theories. Among these is an N=2 gauge theory of quarks interacting with N=4 gauge fields. The temperature chemical potential phase diagram for this theory in the presence of a magnetic field is exactly known and shows first and second order chiral symmetry restoration transitions and a critical point. Here we extend this phase diagram to imaginary chemical potential to seek structure at small real μ and imaginary μ that help to reconstruct the large real μ phase structure. We also explore a phenomenologically deformed version of the theory where the critical point can be moved into the imaginary chemical potential plane. In particular, we observe that when the transition is second order in these theories, there are naturally two distinct transitions—one for the onset of density and one for chiral symmetry restoration. In addition, the phase diagram has boundaries of regions where metastable vacua exist and these boundaries, as well as the phase boundaries, converge at the critical point. These observations may point to techniques for the study of the QCD critical point either on the lattice or using heavy ion collision data.

Note:

14 pages, 8 figures

String theory, quantum gravity, gauge/gravity duality
symmetry breaking: chiral
heavy ion: scattering
expansion 1/N: color
supersymmetry: 2
critical phenomena
holography

References(28)

Figures(0)

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