Radiative mass in QCD at high density

Abstract

We show that radiatively generated Majorana mass for antiquarks is same as the Cooper-pair gap. We then calculate the electromagnetic corrections to mass of particles in the color-flavor locking phase of QCD at high density. The mass spectrum forms multiplets under SU(2)V × U(1)V . The charged pions and kaons get the electromagnetic mass which is proportional to the Cooper-pair gap. PACS numbers: 12.38.Aw, 11.30.Rd, 12.20.Ds Typeset using REVTEX ∗E-mail address: dkhong@hyowon.cc.pusan.ac.kr 1 It has been known for more than two decades that the ground state of dense matter is color superconductor [1]. However, intense study on color superconductivity has begun quite recently, after realizing that it may lead to a large superconducting gap [2,3], which can be explored by heavy ion collision experiments or in the core of neutron stars. Superconducting quark matter has two different phases, depending on density. At intermediate density, the Cooper pair is color anti-triplet but flavor singlet, breaking only the color symmetry down to a subgroup, SU(3)c 7→ SU(2)c. For high density where the strange quark is light, compared to the chemical potential,ms < μ, the Cooper-pair condensate is predicted to take a so-called color-flavor locking (CFL) form [4]:

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Cite this paper

@inproceedings{Hong2000RadiativeMI, title={Radiative mass in QCD at high density}, author={Deog Ki Hong}, year={2000} }