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Color superconductivity in a small box: a complex Langevin study

2021/11/30 by Shoichiro Tsutsui, Yuhma Asano, Y. Asano +14
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.48550/arxiv.2111.15095

9 pages, 4 figures, talk presented at the 38th International Symposium on Lattice Field Theory (Lattice 2021), 26-30 July, 2021, Zoom/Gather@Massachusetts Institute of Technology

arxiv created 2021/11/30 · openalex publication_date 2021/11/30 · arxiv updated 2021/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is expected that the color superconductivity (CSC) phase appears in QCD at low temperature and high density. On the basis of the lattice perturbation theory, a possible parameter region in which the CSC occurs has been predicted. In this work, we perform complex Langevin simulation on an 83× 128 lattice using four-flavor staggered fermions. We find, in particular, that the quark number has plateaux with respect to the chemical potential similar to our previous study, indicating the formation of the Fermi sphere. A diquark-antidiquark operator, which is an order parameter of color superconductivity, is formulated on the lattice using the U(1) noise. Our result for this operator is found to fluctuate violently when the Fermi surface coincides with the energy levels of quarks. We also discuss partial restoration of the chiral symmetry at high density.

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