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Related papers: PNJL model for adjoint fermions

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We investigate the confinement mechanism in three-flavor QCD with imaginary isospin chemical potentials $(\mu_u,\mu_d,\mu_s)=(i\theta T,-i\theta T,0)$, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model, where $T$ is…

High Energy Physics - Phenomenology · Physics 2015-06-12 Hiroaki Kouno , Takahiro Makiyama , Takahiro Sasaki , Yuji Sakai , Masanobu Yahiro

In lattice QCD formalism, we derive an analytical gauge-invariant relation between the Polyakov loop $\langle L_P \rangle$ and the Dirac eigenvalues $\lambda_n$ in QCD, i.e., $\langle L_P \rangle \propto \sum_n \lambda_n^{N_t -1} \langle…

High Energy Physics - Lattice · Physics 2014-03-18 Hideo Suganuma , Takahiro M. Doi , Takumi Iritani

To clarify the relation between confinement and chiral symmetry breaking in QCD, we consider a temporally odd-number lattice, with the temporal lattice size $N_t$ being odd. We here use an ordinary square lattice with the normal…

High Energy Physics - Lattice · Physics 2014-05-06 Hideo Suganuma , Takahiro M. Doi , Takumu Iritani

We explore the phase structure and symmetry breaking in four-dimensional SU(3) gauge theory with one spatial compact dimension on the lattice ($16^3 \times 4$ lattice) in the presence of fermions in the adjoint representation with periodic…

High Energy Physics - Lattice · Physics 2014-06-11 Guido Cossu , Hisaki Hatanaka , Yutaka Hosotani , Jun-Ichi Noaki

Yukawa's old bilocal field theory, with modernization in the treatment of "relative time," can describe a relativistic bound state of chiral fermions. This connects to bosonized effective chiral Lagrangians and the Nambu-Jona-Lasinio (NJL)…

High Energy Physics - Phenomenology · Physics 2023-12-12 Christopher T. Hill

We consider the Quasilocal Quark Model of NJL type (QNJLM) as an effective theory of non-perturbative QCD including scalar (S), pseudoscalar (P), vector (V) and axial-vector (A) four-fermion interaction with derivatives. In the presence of…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. A. Andrianov , V. A. Andrianov

In an approach inspired by Polyakov loop extended NJL models, we present a nonlinear hadronic SU(3) sigma-omega mean field model augmented by quark degrees of freedom. By introducing the effective Polyakov loop related scalar field \Phi and…

High Energy Physics - Phenomenology · Physics 2013-06-24 P. Rau , J. Steinheimer , S. Schramm , H. Stöcker

The understanding of the behaviour of strongly interacting matter at finite temperature and density is of fundamental interest and has applications in cosmology, in the astrophysics of neutron stars and in the physics of relativistic heavy…

High Energy Physics - Phenomenology · Physics 2013-07-16 Pablo G. Allen , Norberto N. Scoccola

The effective potential for the Wilson loop in the SU(2) gauge theory with N_f massive fundamental and N_a massive adjoint fermions on S^1 x M^4 is computed at the one-loop level, assuming periodic boundary conditions for the gauge field…

High Energy Physics - Phenomenology · Physics 2009-11-10 Muge Boz , Namik K. Pak

Based on lattice QCD-adjusted SU(2) nonlocal Polyakov--Nambu--Jona-Lasinio (PNJL) models, we investigate how the location of the critical endpoint in the QCD phase diagram depends on the strenght of the vector meson coupling, as well as the…

High Energy Physics - Phenomenology · Physics 2014-05-26 G. A. Contrera , A. G. Grunfeld , D. B. Blaschke

We present a extension of the 3-3-1 gauge model supplemented by an $A_4$ flavor symmetry and cyclic discrete symmetries, including $Z_2$, $Z_2'$, $Z_3$, $Z_4$, $Z_7$ and $Z_{10}$. The model successfully reproduces the observed SM fermion…

High Energy Physics - Phenomenology · Physics 2025-06-25 A. E. Cárcamo Hernández , D. T. Huong , H. N. Long , Daniel Salinas-Arizmendi

In the relativistic impulse approximation (RIA), we study symmetry potentials and in-medium nucleon-nucleon (NN) cross sections with the Nambu-Jona-Lasinio (NJL) model that features chiral symmetry. The chiral symmetry that plays a…

Nuclear Theory · Physics 2021-06-16 Si-Na Wei , Rong-Yao Yang , Jing Ye , Niu Li , Wei-Zhou Jiang

We consider the coupling of fermions to the three-dimensional noncommutative $CP^{N-1}$ model. In the case of minimal coupling, although the infrared behavior of the gauge sector is improved, there are dangerous (quadratic) infrared…

High Energy Physics - Theory · Physics 2009-11-10 E. A. Asano , H. O. Girotti , M. Gomes , A. Yu. Petrov , A. G. Rodrigues , A. J. da Silva

We show that the effective potentials for the Polyakov loops in finite temperature SU$(N)$ gauge theories obey a certain scaling relation with respect to temperature in the large-$N$ limit. This scaling relation strongly constrains the…

High Energy Physics - Theory · Physics 2025-10-22 Takehiro Azuma , Takeshi Morita

Various thermodynamic quantities and the phase diagram of strongly interacting hot and dense magnetized quark matter are obtained with the $ 2 $-flavour Nambu-Jona-Lasinio model with Polyakov loop considering finite values of the anomalous…

Nuclear Theory · Physics 2020-08-27 Nilanjan Chaudhuri , Snigdha Ghosh , Sourav Sarkar , Pradip Roy

We investigate fermionic quantum field theories using functional renormalisation. In the limit of many fermion flavours $N$, we demonstrate that theories have exact solutions for their quantum effective actions given by quasi-local…

High Energy Physics - Theory · Physics 2025-02-10 Charlie Cresswell-Hogg , Daniel F. Litim

The effect of Polyakov loop on the QCD phase diagram at high density is studied within the Nambu-Jona Lasinio model with Polyakov loop (PNJL model). We point out that the color neutrality is missing in the standard PNJL model at finite…

High Energy Physics - Phenomenology · Physics 2009-01-14 H. Abuki

The derivative of the grand potential in mean field approximation, non-strange and strange condensates and deconfinement phase-transition in thermal and dense hadronic medium are verified in extended SU(3) linear sigma-model (eLSM). In…

High Energy Physics - Phenomenology · Physics 2015-01-19 Abdel Nasser Tawfik , Abdel Magied Diab

We present the phase diagram and the fluctuations of different conserved charges like quark number, charge and strangeness at vanishing chemical potential for the 2+1 flavor Polyakov Loop extended Nambu--Jona-Lasinio model with eight-quark…

High Energy Physics - Phenomenology · Physics 2011-07-26 Paramita Deb , Abhijit Bhattacharyya , Sanjay K. Ghosh , Rajarshi Ray , Anirban Lahiri

We study the thermodynamics of the Polyakov-Nambu-Jona-Lasinio model considering the effects of an effective chiral chemical potential. We offer a new parametrization of the Polyakov-loop potential depending on temperature and the chiral…

High Energy Physics - Phenomenology · Physics 2024-10-11 Francisco X. Azeredo , Dyana C. Duarte , Ricardo L. S. Farias , Gastão Krein , Rudnei O. Ramos