2021/11/29 by Takeru Yokota, Y. Asano, Yuhma Asano +14
Engineering · Physics and Astronomy · #Ansatz #Condensed matter physics #Cooper pair #FOS: Physical sciences #Fermion #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Lattice (music) #Massless particle #Mathematical physics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum, superfluid, helium dynamics #Quark #Superconducting Materials and Applications #Superconductivity #hep-lat #hep-ph
paper · pdf · doi:10.48550/arxiv.2111.14578
9 pages, 4 figures, submitted to the proceedings for the 38th International Symposium on Lattice Field Theory - Lattice2021
arxiv created 2021/11/29 · openalex publication_date 2021/11/29 · arxiv updated 2021/12/16 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
We develop a new method to investigate color superconductivity (CSC) on the lattice based on the Thouless criterion, which amounts to solving the linearized gap equation without imposing any ansatz on the structure of the Cooper pairs. We perform explicit calculations at the one-loop level with the staggered fermions on a 83 × 128 lattice and the Wilson fermions on a 43 × 128 lattice, which enables us to obtain the critical β(=6/g2) as a function of the quark chemical potential μ, below which the CSC phase is expected to appear. The obtained critical β has sharp peaks at the values of μ corresponding to the discretized energy levels of quarks similarly to what was observed in previous studies on simplified effective models. From the solution to the linearized gap equation, one can read off the flavor and spatial structures of the Cooper pairs at the critical β. In the case of massless staggered fermion, in particular, we find that the chiral U(1) symmetry of the staggered fermions is spontaneously broken by the condensation of the Cooper pairs.