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Related papers: Diquark confinement in an extended NJL model

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Diquark excitations of dense quark matter are considered in the framework of the Nambu -- Jona-Lasinio model with three types of massless quarks in the presense of a quark number chemical potential $\mu$. We investigate the effective action…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Ebert , K. G. Klimenko

Radiative decays of pseudoscalar and vector mesons are calculated in the framework of the chiral Nambu-Jona-Lasinio (NJL) model. We use the amplitude for triangle quark loops of anomalous type. In evaluating these loop integrals we use two…

High Energy Physics - Phenomenology · Physics 2008-11-07 Yu. M. Bystritskiy , E. A. Kuraev , M. Sečanský , M. K. Volkov

We simulate the lattice Nambu--Jona-Lasinio (NJL) model in 3+1-dimensions at non-zero baryon chemical potential (mu) and zero temperature (T) and treat the results as phenomenologically relevant for cold, dense quark matter. Measurements of…

High Energy Physics - Lattice · Physics 2007-05-23 David N. Walters

The heavy-light mesons are studied within the framework of Dyson-Schwinger equations of QCD. Inspired by the axial-vector Ward-Takahashi identity resulting from the chiral symmetry, we propose a truncation scheme beyond the ladder…

High Energy Physics - Phenomenology · Physics 2020-07-01 Pianpian Qin , Si-xue Qin , Yu-xin Liu

We present preliminary evidence of BCS diquark condensation in the 3+1 dimensional Nambu-Jona-Lasinio (NJL) model at non-zero chemical potential (mu) on the lattice. Large N results are used to match the model's parameters to low energy,…

High Energy Physics - Lattice · Physics 2009-11-07 David N. Walters

We study the relation of confinement and chiral symmetry breaking in gauge theories with non-trivial center, such as SU(N) gauge theories. To this end, we deform these gauge theories by introducing an additional control parameter into the…

High Energy Physics - Phenomenology · Physics 2012-05-08 Jens Braun , Tina K. Herbst

Electromagnetic properties of diquarks are investigated in the framework of a color-octet Nambu-Jona-Lasinio model, which describes baryons as bound states of diquarks and quarks. We calculate the electromagnetic form factors of scalar and…

High Energy Physics - Phenomenology · Physics 2009-09-25 C. Weiss , A. Buck , R. Alkofer , H. Reinhardt

The Nambu--Jona-Lasino model is modified by the inclusion of a running-coupling that was obtained by a fractal approach to Quantum Chromodynamics. The coupling follows a $q$-exponential function and, in the context of high energy…

High Energy Physics - Phenomenology · Physics 2024-12-17 E. Megias , M. J. Teixeira , V. S. Timóteo , A. Deppman

We address the old difficulty in accommodating the scalar quark-antiquark confining potential together with chiral symmetry breaking. We develop a quark confining potential inspired in the QCD scalar flux tube. The coupling to quarks…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Bicudo , G. M. Marques

We discuss in this note simultaneous existence of chiral symmetry breaking and color superconductivity at finite temperature and density in a Nambu-Jona-Lasinio type model. The methodology involves an explicit construction of a variational…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hiranmaya Mishra , Jitendra C. Parikh

Quenched lattice-QCD data on the dressed-quark Schwinger function can be correlated with dressed-gluon data via a rainbow gap equation so long as that equation's kernel possesses enhancement at infrared momenta above that exhibited by the…

Nuclear Theory · Physics 2010-03-04 M. S. Bhagwat , M. A. Pichowsky , C. D. Roberts , P. C. Tandy

An hallmark of present-day Dyson-Schwinger equation applications in hadron physics is the existence of a systematic and symmetry preserving truncation scheme. This enables the proof of exact results; e.g., the leptonic decay constant of…

Nuclear Theory · Physics 2007-05-23 A. Hoell , A. Krassnigg , C. D. Roberts

By using a general NJL model including as many interaction channels as possible, and taking into account the constraints imposed by color and charge neutrality, we analyze how the different interaction channels contribute to the…

High Energy Physics - Phenomenology · Physics 2025-07-10 Li-Kang Yang , Di-Sheng Fan , Cheng-Ming Li , Yong-Liang Ma

We discuss a new method for obtaining the WKB approximation to the Dirac equation with a scalar potential and a time-like vector potential. We use the WKB solutions to investigate the scaling behavior of a confining model for quark-hadron…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. W. Van Orden , Sabine Jeschonnek , John Tjon

We treat quantum chromodynamics (QCD) using a set of Dyson-Schwinger equations derived, in differential form, with the Bender-Milton-Savage technique. In this way, we are able to derive the low energy limit that assumes the form of a…

High Energy Physics - Phenomenology · Physics 2023-02-16 Marco Frasca , Anish Ghoshal , Stefan Groote

We investigate the properties of scalar and pseudo-scalar mesons at finite temperature and quark chemical potential in the framework of the Nambu-Jona-Lasinio (NJL) model coupled to the Polyakov loop (PNJL model) with the aim of taking into…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Hansen , W. M. Alberico , A. Beraudo , A. Molinari , M. Nardi , C. Ratti

The NJL model for the octet baryons, using proper time regularization to simulate some of the features of confinement, is solved self-consistently in nuclear matter. This provides an alternative framework to the MIT bag model which has been…

Nuclear Theory · Physics 2016-10-07 D. L. Whittenbury , M. E. Carrillo-Serrano , A. W. Thomas

We study meson and diquark bound states using the rainbow-ladder truncation of QCD's Dyson-Schwinger equations. The infrared strength of the rainbow-ladder kernel is described by two parameters. The ultraviolet behavior is fixed by the…

Nuclear Theory · Physics 2009-11-07 P. Maris

The chiral phase transition is studied in an extended Nambu--Jona-Lasinio model with eight-quark interactions. Equations for scalar and vector quark densities, derived in the mean field approximation, are nonlinear and mutually coupled. The…

In this paper, we study the pseudo-Wigner solution of the quark gap equation with a recently proposed algorithm in the framework of the (2+1)-flavor Nambu-Jona-Lasinio (NJL) model. We find that for the current quark mass $m_{\rm u,d}=5.5$…

High Energy Physics - Phenomenology · Physics 2019-04-17 Cheng-Ming Li , Pei-Lin Yin , Hong-Shi Zong