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A general effective action for quark matter at nonzero temperature and/or nonzero density is derived. Irrelevant quark modes are distinguished from relevant quark modes, and hard from soft gluon modes, by introducing two separate cut-offs…

Nuclear Theory · Physics 2017-08-23 P. T. Reuter , Q. Wang , D. H. Rischke

I derive a general effective theory for hot and/or dense quark matter. After introducing general projection operators for hard and soft quark and gluon degrees of freedom, I explicitly compute the functional integral for the hard quark and…

Nuclear Theory · Physics 2007-05-23 Philipp T. Reuter

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

A QCD based effective action is constructed to describe the dynamics of confinement and symmetry breaking in the process of parton-hadron conversion. The deconfined quark and gluon degrees of freedom of the perturbative QCD vacuum are…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. Geiger

We derive an effective theory for dense, cold and massive quark matter. To this end, we employ a general effective action formalism where antiquarks and quarks far from the Fermi surface, as well as hard gluons, are integrated out…

Nuclear Theory · Physics 2008-11-26 Philipp T. Reuter

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 present a construction of an effective Yang-Mills action for QCD, from the expansion of the fermionic determinant in terms of powers of the chemical potential at high temperature, for the case of massless quarks. We analyze this…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Villavicencio , E. S. Fraga

We solve the gap equation for color-superconducting quark matter in the 2SC phase, including both the energy and the momentum dependence of the gap, \phi=\phi(k_0,\vk). For that purpose a complex Ansatz for \phi is made. The calculations…

Nuclear Theory · Physics 2008-11-26 Philipp T. Reuter

We investigate the Fermi Liquid theory of high density QCD. Using the renormalization group (RG), we determine the behavior of effective fermion interactions near the Fermi surface. At sufficiently high densities the matching between the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nick Evans , Stephen D. H. Hsu , Myckola Schwetz

High-order perturbative calculations for thermodynamic quantities in QCD are complicated by the physics of dynamical screening that affects the soft, long-wavelength modes of the system. Here, we provide details for the evaluation of this…

High Energy Physics - Phenomenology · Physics 2022-06-17 Tyler Gorda , Aleksi Kurkela , Risto Paatelainen , Saga Säppi , Aleksi Vuorinen

We derive a (Wilsonian) effective field theory of QCD at finite density by integrating out the states in the Dirac sea when the chemical potential $\mu\gg\Lambda_{\rm QCD}$. The quark-gluon coupling is effectively (1+1)-dimensional and the…

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

Our current knowledge of the quark-gluon plasma in thermodynamical equilibrium is reviewed. The phase diagram of strongly interacting matter is discussed, with emphasis on the quark-hadron phase transition and the color-superconducting…

Nuclear Theory · Physics 2014-11-18 Dirk H. Rischke

We propose a new method for an analytical, non-perturbative computation of effective quark interactions from QCD. It is based on an exact flow equation which describes the scale dependence of the effective average action for quarks in…

High Energy Physics - Theory · Physics 2008-02-03 C. Wetterich

We study the fermion action needed to accurately describe the low energy physics of systems including heavy quarks in lattice QCD even when the heavy fermion mass $m$ is on the order of, or larger than, the inverse lattice spacing: $m \ge…

High Energy Physics - Lattice · Physics 2008-11-26 Norman H. Christ , Min Li , Huey-Wen Lin

We study several issues related to the use of effective field theories in QCD at large baryon density. We show that the power counting is complicated by the appearance of two scales inside loop integrals. Hard dense loops involve the large…

High Energy Physics - Phenomenology · Physics 2010-04-05 Thomas Schaefer

We present a new perspective on the study of the behavior of the strong coupling $\alpha_s(Q^2)$ -- the fundamental coupling underlying the interactions between quarks and gluons as described by the Quantum Chromodynamics (QCD) -- in the…

High Energy Physics - Phenomenology · Physics 2023-07-13 Tanjona Rabemananjara

Lattice QCD studies of the thermodynamics of the hot quark-gluon plasma (QGP) demonstrate the importance of accounting for the interactions of quarks and gluons, if one wants to investigate the phase structure of strongly interacting…

Nuclear Theory · Physics 2014-02-27 Eduardo S. Fraga , Aleksi Kurkela , Aleksi Vuorinen

We discuss the ground state of a quark matter containing heavy quarks as impurities in a simple model which exhibits the QCD Kondo effect. The model includes a current-current interaction with the color exchange between a light quark…

High Energy Physics - Phenomenology · Physics 2019-08-07 Shigehiro Yasui , Kei Suzuki , Kazunori Itakura

We consider continuum-formulation QCD in four dimensions with twelve massless fundamental quark flavors. Splitting the SU(\(N\)) gauge field into background and fluctuation parts, we use well-developed techniques to calculate the one-loop…

High Energy Physics - Theory · Physics 2025-03-05 Seth Grable , Paul Romatschke

We construct an effective action for QCD by expanding the quark determinant in powers of the chemical potential at finite temperature in the case of massless quarks. To cut the infinite series we adopt the Weinberg power counting criteria.…

High Energy Physics - Phenomenology · Physics 2010-04-29 E. S. Fraga , C. Villavicencio
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