Searching for the BCS phase at nonzero isospin asymmetry

Cuteri, Francesca; Brandt, Bastian B.; Endrődi, Gergely

doi:10.22323/1.396.0232

Searching for the BCS phase at nonzero isospin asymmetry

Dec 21, 2021

8 pages

Published in:

PoS LATTICE2021 (2022) 232

Contribution to:

- Lattice 2021
, 232
,
- Lattice 2021

Published: May 16, 2022

e-Print:

2112.11113 [hep-lat]

DOI:

10.22323/1.396.0232

View in:

ADS Abstract Service

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Abstract: (SISSA)

According to perturbation theory predictions, QCD matter in the zero-temperature, high-density limits of QCD at nonzero isospin chemical potential is expected to be in a superfluid Bardeen-Cooper-Schrieffer (BCS) phase of

u

and

\bar{d}

Cooper pairs. It is also expected, on symmetry grounds, that such phase connects via an analytical crossover to the phase with Bose-Einstein condensation (BEC) of charged pions at

\mu_\text{I}\geq m_\pi/2

. With lattice results, showing some indications that the deconfinement crossover also smoothly penetrates the BEC phase, the conjecture was made that the former connects continuously to the BEC-BCS crossover. We compute the spectrum of the Dirac operator, and use generalized Banks-Casher relations, to test this conjecture and identify signatures of the superfluid BCS phase.

Note:

8 pages, 5 figures, contribution to the 38th International Symposium on Lattice Field Theory (LATTICE21)

isospin: asymmetry
operator: Dirac
potential: chemical
quantum chromodynamics: matter
condensation: Bose-Einstein
superfluid
signature
perturbation theory
deconfinement
lattice

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