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We present results from a lattice Monte Carlo study of the Nambu - Jona-Lasinio model in 3+1 dimensions with a baryon chemical potential mu=/=0. As mu is increased there is a transition from a chirally-broken phase to relativistic quark…

High Energy Physics - Phenomenology · Physics 2017-08-23 Simon Hands , David N. Walters

We discuss results of numerical analyses of the 3+1 dimensional Nambu--Jona-Lasinio model at non-zero baryon density. By studying relevant order parameters, it is shown that the model goes through a transition between a vacuum with broken…

High Energy Physics - Lattice · Physics 2008-11-26 David N. Walters

We present results of numerical simulations of the 3+1d Nambu - Jona-Lasinio model with a non-zero baryon chemical potential mu, with particular emphasis on the superfluid diquark condensate and associated susceptibilities. The results,…

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

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

We present results of numerical simulations of the 2+1d Nambu - Jona-Lasinio model with a non-zero baryon chemical potential mu including the effects of a diquark source term. Diquark condensates, susceptibilities and masses are measured as…

High Energy Physics - Lattice · Physics 2009-11-07 Simon Hands , Biagio Lucini , Susan Morrison

The Nambu - Jona-Lasinio model in 2+1 dimensions is simulated for non-zero baryon chemical potential with a diquark source term. No evidence for a BCS condensate or gap is seen at high density; rather, critical behaviour with novel…

High Energy Physics - Lattice · Physics 2009-11-07 Simon Hands

We present results of numerical simulations of the 2+1d Nambu -- Jona-Lasinio model with non-zero baryon chemical potential mu and spatially-varying complex diquark source strength j. By choosing arg(j) to vary smoothly through 2 pi across…

High Energy Physics - Lattice · Physics 2009-11-11 Simon Hands , Avtar Singh Sehra

We present initial results of a numerical investigation of the chiral symmetry restoring transition in the (3+1)-dimensional Nambu -- Jona-Lasinio model with both non-zero baryon chemical potential (mu_B) and isospin chemical potential…

High Energy Physics - Lattice · Physics 2009-11-10 David N. Walters , Simon Hands

Monte Carlo simulations of the 3+1 dimensional NJL model are performed with baryon chemical potential mu>0. For mu>Sigma_0, the constituent quark mass in vacuum, chiral symmetry is restored and a diquark condensate <qq_+> forms. We analyse…

High Energy Physics - Lattice · Physics 2009-11-10 David N. Walters , Simon Hands

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 present results of a Monte Carlo simulation of a 2+1 dimensional Nambu - Jona-Lasinio model including diquark source terms. A diquark condensate <qq> is measured as a function of source strength j. In the vacuum phase <qq> vanishes…

High Energy Physics - Lattice · Physics 2009-10-31 Simon Hands , Biagio Lucini , Susan Morrison

We investigate the impact of non-Hermiticity on the thermodynamic properties of interacting fermions by examining bilinear extensions to the $3+1$ dimensional $SU(2)$-symmetric Nambu--Jona-Lasinio (NJL) model of quantum chromodynamics at…

High Energy Physics - Phenomenology · Physics 2025-10-23 Alexander Felski , Alireza Beygi , S. P. Klevansky

With the isovector coupling constants adjusted to reproduce the physical pion mass and lattice QCD results in baryon-free quark matter, we have carried out rigourous calculations for the pion condensate in the 3-flavor Nambu-Jona-Lasinio…

High Energy Physics - Phenomenology · Physics 2021-10-13 Lu-Meng Liu , Jun Xu , Guang-Xiong Peng

The phase diagram of the two-dimensional Nambu--Jona-Lasinio model with isospin is explored in the large Nc limit with semiclassical methods. We consider finite temperature and include chemical potentials for all conserved charges. In the…

High Energy Physics - Theory · Physics 2020-01-22 Michael Thies

The Nambu-Jona-Lasinio (NJL) model is one of the most frequently used four-fermion models in the study of dynamical symmetry breaking. In particular, the NJL model is convenient for that analysis at finite temperature, chemical potential…

High Energy Physics - Theory · Physics 2008-11-26 L. M. Abreu , M. Gomes , A. J. da Silva

We investigate pion superfluidity in the frame of two flavor Nambu--Jona-Lasinio model beyond mean field approximation. We calculate the thermodynamics to the next to leading order in an expansion in the inverse number of colors, including…

High Energy Physics - Phenomenology · Physics 2009-10-29 Chengfu Mu , Pengfei Zhuang

A two-flavor color superconducting (2SC) Nambu--Jona-Lasinio (NJL) model is introduced at finite temperature T, chemical potential mu and in the presence of a constant magnetic field eB. The effect of (T,mu,eB) on the formation of chiral…

High Energy Physics - Phenomenology · Physics 2015-03-17 Sh. Fayazbakhsh , N. Sadooghi

In an effort to investigate some of the low energy properties of QCD, in particular those related to chiral symmetry breaking, as well as to obtain insights on the behavior of an interacting theory of fermions on the lattice, the two flavor…

High Energy Physics - Lattice · Physics 2011-07-19 K. M. Bitar , P. M. Vranas

QCD-like theories possess a positively definite fermion determinant at finite baryon chemical potential $\mu_{\text B}$ and the lattice simulation can be successfully performed. While the chiral perturbation theories are sufficient to…

High Energy Physics - Phenomenology · Physics 2010-11-19 Lianyi He

In this paper the symmetry properties of the phase diagram of dense quark matter composed of $u$ and $d$ quarks with two or three colors has been investigated in the framework of massless (3+1)-dimensional Nambu--Jona-Lasinio (NJL) and QCD…

High Energy Physics - Phenomenology · Physics 2024-12-30 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov
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