Abstract
We propose a new non-Hermitian chiral random matrix model that describes single-flavor spin-one Cooper pairing of quarks. For three colors the model shows spontaneous breaking of color $\mathrm{SU}(3)_C$ and spin $\mathrm{SO}(3)_J$ symmetries down to the diagonal $\mathrm{SO}(3)_{C+J}$ subgroup, in striking analogy to the color-spin locked phase of one-flavor QCD at high density. For two colors, color-singlet spin-one diquarks condense and trigger symmetry breaking $\mathrm{U}(1) \times \mathrm{SO}(3)_J \to \mathrm{SO}(2)_J$. In both cases the microscopic large-$N$ limit is rigorously taken and the effective theory of Nambu-Goldstone modes is derived.
Highlights
In relativistic cold ultradense matter, the Fermi surface is destabilized by attractive interactions between quarks and the ground state is likely to exhibit color superconductivity [1]
In this paper we reported an attempt to extend chiral random matrix theory (RMT) [31] to cold and dense one-flavor quark matter, in which quarks are thought to form Cooper pairs with nonzero total angular momentum [1]
This work can be viewed as a natural sequel to our previous work [47] that put forward chiral Random matrix theory (RMT) for Cooper pairing in two and three-flavor dense QCD
Summary
Research and Development Group, Hitachi, Ltd., Kokubunji, Tokyo 185-8601, Japan (Received 1 May 2020; accepted 9 June 2020; published 30 June 2020). We propose a new non-Hermitian chiral random matrix model that describes single-flavor spin-one Cooper pairing of quarks. For three colors the model shows spontaneous breaking of color SUð3ÞC and spin SOð3ÞJ symmetries down to the diagonal SOð3ÞCþJ subgroup, in striking analogy to the color-spin locked phase of one-flavor QCD at high density. Color-singlet spin-one diquarks condense and trigger symmetry breaking Uð1Þ × SOð3ÞJ → SOð2ÞJ. In both cases the microscopic large-N limit is rigorously taken and the effective theory of Nambu-Goldstone modes is derived
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
