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We solve Schwinger-Dyson (SD) equation for the color superconducting (CS) gap in nonlocal gauge which justifies the ladder approximation in subleading order calculation. The gap prefactor increases about 1.6 times to the leading order gap…

Nuclear Theory · Physics 2008-11-26 Chaejun Song

Coulomb gauge QCD in the first order formalism can be written in terms of a ghost-free, nonlocal action that ensures total color charge conservation via Gauss' law. Making an Ansatz whereby the nonlocal term (the Coulomb kernel) is replaced…

High Energy Physics - Phenomenology · Physics 2011-12-01 Peter Watson , Hugo Reinhardt

The two-flavor color superconductivity is examined over a wide range of baryon density with a single model. To study the structural change of Cooper pairs, quark correlation in the color superconductor is calculated both in the momentum…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Abuki , T. Hatsuda , K. Itakura

We use rational approximants to study missing higher orders in the massless scalar-current quark correlator. We predict the yet unknown six-loop coefficient of its imaginary part, related to $\Gamma(H\to b \bar b)$, to be $c_5=-6900\pm…

High Energy Physics - Phenomenology · Physics 2022-02-02 Diogo Boito , Cristiane Y. London , Pere Masjuan

We provide a brief introduction to the high density effective theory of QCD. As an application, we consider the instanton correction to the perturbatively generated gap in the color superconducting phase. We show that the instanton…

High Energy Physics - Phenomenology · Physics 2017-08-23 Thomas Schaefer

We study an effective theory of QCD at high density in detail, including the finite temperature effects and the leading order correction in $1/\mu$ expansion. We investigate the Cooper pair gap equation and find that the color-flavor…

High Energy Physics - Phenomenology · Physics 2009-10-31 Deog Ki Hong

The two-flavor color superconductivity is studied over a wide range of baryon density with a single model. We pay a special attention to the spatial-momentum dependence of the gap and to the spatial-structure of Cooper pairs. At extremely…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hiroaki Abuki , Tetsuo Hatsuda , Kazunori Itakura

The possibility of generating a color superconducting state in 2+1 dimensional QCD is analyzed. The gap equation in the leading, hard-dense loop improved, one-gluon exchange approximation is derived and solved. The magnitude of the order…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. A. Miransky , G. W. Semenoff , I. A. Shovkovy , L. C. R. Wijewardhana

Charge ordering is often found in the phase diagram of unconventional superconductors in close proximity to the superconducting state. This has led to the suggestion that fluctuations of charge order can mediate superconducting pairing.…

Strongly Correlated Electrons · Physics 2025-04-04 R. Torsten Clay , Beau A. Thompson

We study lattice superconductors coupled to gauge fields, such as an attractive Hubbard model in electromagnetic fields, with a standard gauge fixing. We prove upper bounds for a two-point Cooper pair correlation at finite temperatures in…

Mathematical Physics · Physics 2018-05-23 Yasuhiro Tada , Tohru Koma

I study QCD at large isospin density, which is known to be in the superfluid state with Cooper pairs carrying the same quantum number as pions. I solve the gap equation derived from the perturbation theory up to the next-to-leading order…

High Energy Physics - Phenomenology · Physics 2024-03-27 Yuki Fujimoto

The renormalization group is used to resum leading logarithmic contributions of the form alpha_s^{n+1} beta_0^n log^n (Delta/mu) to the gap equation appropriate for high density QCD. The scale dependence of the strong coupling constant…

Nuclear Theory · Physics 2009-11-06 Silas R. Beane , Paulo F. Bedaque , Martin J. Savage

We consider the effects of higherloop corrections to a Schwinger--Dyson equations for propagators. This is made possible by the efficiency of the methods we developed in preceding works, still using the supersymmetric Wess--Zumino model as…

High Energy Physics - Theory · Physics 2013-11-06 Marc P. Bellon , Fidel A. Schaposnik

Color superconductivity in cold, dense quark matter is a key feature of the QCD phase diagram, whose present theoretical understanding relies predominantly on weak-coupling calculations. In this work, we revisit the evaluation of the…

High Energy Physics - Phenomenology · Physics 2025-08-28 Yuki Fujimoto

The problem of color superconductivity in dense QCD is reconsidered in the improved rainbow approximation to the Schwinger-Dyson equation. The effect of the unscreened magnetic modes of gluons on the value of the color condensate is…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. K. Hong , V. A. Miransky , I. A. Shovkovy , L. C. R. Wijewardhana

We investigate color superconductivity on the lattice using the gap equation for the Cooper pair condensate. The weak coupling analysis is justified by choosing the physical size of the lattice to be smaller than the QCD scale, while…

High Energy Physics - Lattice · Physics 2023-06-28 Takeru Yokota , Yuta Ito , Hideo Matsufuru , Yusuke Namekawa , Jun Nishimura , Asato Tsuchiya , Shoichiro Tsutsui

The chirally unbroken and the superconducting 2SC and CFL phases are investigated in the chiral limit within a Dyson-Schwinger approach for the quark propagator in QCD. The hierarchy of Green's functions is truncated such that at vanishing…

High Energy Physics - Phenomenology · Physics 2009-11-11 Dominik Nickel , Jochen Wambach , Reinhard Alkofer

We study a bottom-up holographic description of the QCD colour superconducting phase in the presence of higher derivative corrections. We expand this holographic model in the context of Gauss-Bonnet (GB) gravity. The Cooper pair condensate…

High Energy Physics - Phenomenology · Physics 2021-07-12 Kazem Bitaghsir Fadafan , Jesús Cruz Rojas

We consider color superconductivity with two flavors of massless quarks which form Cooper pairs with total spin zero. We solve the gap equation for the color-superconducting gap parameter to subleading order in the QCD coupling constant $g$…

Nuclear Theory · Physics 2009-11-07 Qun Wang , Dirk H. Rischke

The variational approach to QCD in Coulomb gauge developed previously by the T\"ubingen group is improved by enlarging the space of quark trial vacuum wave functionals through a new Dirac structure in the quark-gluon coupling. Our ansatz…

High Energy Physics - Phenomenology · Physics 2016-03-09 P. Vastag , H. Reinhardt , D. Campagnari
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