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We study finite density QCD in an approximation in which the interaction between quarks is modelled on that induced by instantons. We sketch the mechanism by which chiral symmetry restoration at finite density occurs in this model. At all…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Alford , K. Rajagopal , F. Wilczek

We describe the crystalline phase of color superconducting quark matter. This phase may occur in quark matter at densities relevant for compact star physics, with possible implications for glitch phenomena in pulsars. We use a…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jeffrey A. Bowers , Krishna Rajagopal

At ultra-high density, matter is expected to form a degenerate Fermi gas of quarks in which there is a condensate of Cooper pairs of quarks near the Fermi surface: color superconductivity. In these proceedings I review some of the…

Nuclear Theory · Physics 2009-11-11 Mark G Alford

We explore the role of color superconductivity in quarkyonic matter under the conditions of color and electric neutrality at $\beta$- and strong equilibrium, as relevant for neutron stars. By explicitly incorporating the…

Nuclear Theory · Physics 2026-01-13 Christoph Gärtlein , Oleksii Ivanytskyi , Violetta Sagun , Ilídio Lopes

I review recent progress in our understanding of the color superconducting phase of matter above nuclear density, giving particular emphasis to the effort to find observable signatures of the presence of this phase in compact stars.

High Energy Physics - Phenomenology · Physics 2014-11-17 Mark Alford

This paper is a brief journey into the amazing realm of crystalline color superconductors. Starting from a qualitative description of superfluids, superconductors and supersolids, we show how inhomogeneous phases may arise when the system…

High Energy Physics - Phenomenology · Physics 2015-06-18 Massimo Mannarelli

We develop the Ginzburg-Landau approach to comparing different possible crystal structures for the crystalline color superconducting phase of QCD, the QCD incarnation of the Larkin-Ovchinnikov-Fulde-Ferrell phase. In this phase, quarks of…

High Energy Physics - Phenomenology · Physics 2016-09-06 Jeffrey A. Bowers , Krishna Rajagopal

We present a study of the shear modulus of the crystalline color superconducting phase of quark matter, showing that this phase of dense, but not asymptotically dense, quark matter responds to shear stress as a very rigid solid. This phase…

High Energy Physics - Phenomenology · Physics 2008-11-26 Massimo Mannarelli , Krishna Rajagopal , Rishi Sharma

The influence of different chemical potential for different flavors on color superconductivity is analyzed. It is found that there is a first order transition as the asymmetry grows. This transition proceeds through the formation of bubbles…

High Energy Physics - Phenomenology · Physics 2016-09-06 Paulo F. Bedaque

At high nuclear density and small temperature, due to the asymptotic freedom property of Quantum ChromoDynamics and to the existence of an attractive channel in the color interaction, diquark condensates might be formed. Since these…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Nardulli

In cold, dense quark matter, quarks of different flavor can form Cooper pairs which are anti-triplets under color and have total spin J=0. The transition to a phase where strange quarks condense with either up or down quarks is driven first…

Nuclear Theory · Physics 2009-10-31 Robert D. Pisarski , Dirk H. Rischke

A supersymmetric composite model of color superconductivity is proposed. Quarks and diquarks are dynamically generated as composite fields by a newly introduced strong gauge dynamics. It is shown that the condensation of the scalar…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nobuhito Maru , Motoi Tachibana

The angular momentum mixing in a non-spherical CSC with nonzero azimuthal quantum number and therefore violating time reversal invariance has been examined. The mixing is bound to occur because of the equal strength of the pairing potential…

High Energy Physics - Phenomenology · Physics 2009-05-01 Bo Feng , Defu Hou , Hai-cang Ren

The interaction of light quarks and instanton liquid is analyzed at finite density of quark/baryon matter and in the phase of nonzero values of diquark (colour) condensate. It is shown that instanton liquid perturbation produced by such an…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. V. Molodtsov , G. M. Zinovjev

A quark-cluster state, rather than the color-super-conductivity state, may appear in matter with low-temperature but high density, since the phase transition of chiral symmetry broken and that of color-confinement could not occur…

Astrophysics · Physics 2007-05-23 Weiwei Zhu , Renxin Xu

At sufficiently high baryon density, a quark matter is expected to become a color superconductor because of the pairing forces mediated by gluons. The theoretical aspect of this novel phase of the strong interaction is reviewed with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hai-cang Ren

We propose to study the superconducting pairing of quarks with the formation of the diquarks as well as the quark-antiquark pairing in QCD by means of the functional integral technique. The dynamical equations for the superconducting order…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nguyen Van Hieu

In this series of lectures we present the functional integral method for studying the superconducting pairing of quarks with the formation of the diquarks as well as the quark-antiquark pairing in dense QCD. The dynamical equations for the…

High Energy Physics - Phenomenology · Physics 2011-04-15 Nguyen Van Hieu

Cold three flavor quark matter at large (but not asymptotically large) densities may exist in a crystalline color superconducting phase. These phases are characterized by a gap parameter $\Delta$ that varies periodically in space, forming a…

High Energy Physics - Phenomenology · Physics 2010-05-27 Massimo Mannarelli , Rishi Sharma

Here, it is suggested that a four-point interaction of the tensor type may lead to spin polarization in quark matter at high density. It is found that the two-flavor superconducting phase and the spin polarized phase correspond to distinct…

Nuclear Theory · Physics 2014-05-07 Y. Tsue , J. da Providencia , C. Providencia , M. Yamamura , H. Bohr