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The phase diagram of Quantum Chromodynamics (QCD) remains a central topic in high-energy physics. At high temperature and low baryochemical potential, the chiral transition is experimentally observed and theoretically explored to be a…

High Energy Physics - Phenomenology · Physics 2026-03-31 Alejandro Rosas Díaz , Alfredo Raya , C. A. Vaquera Araujo , S. Hernández-Ortiz

We use Chiral Perturbation Theory to compute the nucleon mass-shift due to finite volume and temperature effects. Our results are valid up to next-to-leading order in the "\eps-regime" (mL ~ m\beta << 1) as well as in the "p-regime" (mL ~…

High Energy Physics - Lattice · Physics 2009-11-10 Paulo F. Bedaque , Harald W. Griesshammer , Gautam Rupak

We review the Nambu-Jona-Lasinio model (NJL), proposed long time ago, as a four-fermion interaction theory with chiral symmetry. The theory is not renormalizable and presents a symmetry breaking due to quantum corrections which depends on…

General Relativity and Quantum Cosmology · Physics 2015-11-20 Leonardo Quintanar G. , Axel de la Macorra

We study the influence of the chiral phase transition on the chiral magnetic effect. The azimuthal charge-particle correlations as functions of the temperature are calculated. It is found that there is a pronounced cusp in the correlations…

High Energy Physics - Phenomenology · Physics 2015-05-18 Wei-jie Fu , Yu-xin Liu , Yue-liang Wu

We consider the STU model as a gravity dual of a strongly-coupled plasma with multiple anomalous U(1) currents. In the bulk we add additional background gauge fields to include the effects of external electric and magnetic fields on the…

High Energy Physics - Theory · Physics 2011-07-21 Tigran Kalaydzhyan , Ingo Kirsch

The effect that the current quark mass $M_0$ may result in nonzero-ness of chiral condensates is systematically reexamined and analyzed in a two-flavor Nambu-Jona-Lasinio model simulating Quantum Chromodynamics (QCD) at temperature $T$ and…

High Energy Physics - Phenomenology · Physics 2015-07-21 Bang-Rong Zhou

Chirality is a ubiquitous concept in modern science, from particle physics to biology. In quantum physics, chirality of fermions is linked to topology of gauge fields by the chiral anomaly. While the chiral anomaly is usually associated…

High Energy Physics - Phenomenology · Physics 2022-04-26 Dmitri E. Kharzeev

We study a relativistic Hartree-Fock Lagrangian model which considers confinement, chiral symmetry breaking, nucleon form factor and short range correlations. The chiral potential originally based on the linear sigma-model is compared to an…

Nuclear Theory · Physics 2024-01-19 M. Chamseddine , J. Margueron , H. Hansen , G. Chanfray

In this study, we investigate the phase structure of magnetized QCD matter by determining the field-dependent parameters of the Nambu-Jona-Lasinio (NJL) model through a physics-informed machine learning framework. Specifically, we focus on…

High Energy Physics - Phenomenology · Physics 2026-04-01 Zigeng Ding , Fan Lin , Xinyang Wang

We review in detail recent advances in our understanding of the phase structure and the phase transitions of hadronic matter in strong magnetic fields $B$ and zero quark chemical potentials $\mu_f$. Many aspects of QCD are described using…

High Energy Physics - Phenomenology · Physics 2016-04-15 Jens O. Andersen , William R. Naylor , Anders Tranberg

We calculate the form factors of the $K \to \pi l \nu$ semileptonic decays in three-flavor lattice QCD, and study their chiral behavior as a function of the momentum transfer and the Nambu-Goldstone boson masses. Chiral symmetry is exactly…

High Energy Physics - Lattice · Physics 2017-05-03 JLQCD Collaboration , S. Aoki , G. Cossu , X. Feng , H. Fukaya , S. Hashimoto , T. Kaneko , J. Noaki , T. Onogi

While chiral quantum field theories (QFTs) describe a wide range of physical systems, from the standard model to topological quantum matter, the realization of chiral QFTs on a lattice has proved to be difficult due to the Nielsen-Ninomiya…

Strongly Correlated Electrons · Physics 2022-03-04 Michael Austin DeMarco

We study the chiral phase transition at finite $T$ and $\mu_B$ within the framework of the SU(3) Nambu-Jona-Lasinio (NJL) model. The QCD critical end point (CEP) and the critical line at finite temperature and baryonic chemical potential…

High Energy Physics - Phenomenology · Physics 2008-11-26 Pedro Costa , C. A. de Sousa , M. C. Ruivo , Yu. L. Kalinovsky

The effective photon-quark-antiquark ($\gamma q \overline{q}$) vertex function is evaluated at finite temperature in the presence of an arbitrary external magnetic field using the two-flavor gauged Nambu--Jona-Lasinio (NJL) model in the…

High Energy Physics - Phenomenology · Physics 2021-06-16 Snigdha Ghosh , Nilanjan Chaudhuri , Pradip Roy , Sourav Sarkar

The compressibility of magnetized quark matter is investigated in the SU(2) NJL model. The increases of the chemical potential and the temperature can reduce the compressibility, and lead to the much stiffer equation of state. The variation…

High Energy Physics - Phenomenology · Physics 2021-12-22 Li Yang , Xin-Jian Wen

We use a three-flavor Nambu--Jona-Lasinio model to study the thermodynamics of strange quark matter under a strong magnetic field. The model Lagrangian features flavor SU(3) four-quark interactions and six-quark interactions that break the…

High Energy Physics - Phenomenology · Physics 2021-11-11 William R. Tavares , Ricardo L. S. Farias , Sidney S. Avancini , Varese S. Timóteo , Marcus B. Pinto , Gastão Krein

The formalism of Riemannian geometry is applied to study the phase transitions in Nambu -Jona Lasinio (NJL) model. Thermodynamic geometry reliably describes the phase diagram, both in the chiral limit and for finite quark masses. The…

Nuclear Theory · Physics 2020-12-16 P. Castorina , D. Lanteri , S. Mancani

Quantum chromodynamics (QCD) at sufficiently high density is expected to undergo a chiral phase transition. Understanding such a transition is of particular importance for neutron star or quark star physics. In Lagrangian SU(3) lattice…

High Energy Physics - Lattice · Physics 2009-11-07 Yi-Zhong Fang , Xiang-Qian Luo

At sufficiently high temperature and density, quantum chromodynamics (QCD) is expected to undergo a phase transition from the confined phase to the quark-gluon plasma phase. In the Lagrangian lattice formulation the Monte Carlo method works…

High Energy Physics - Lattice · Physics 2009-10-31 E. B. Gregory , S. Guo , H. Kroger , Xiang-Qian Luo

To investigate finite-volume effects on the chiral symmetry restoration and the deconfinement transition and some impacts of possible global topological background for a quantum chromodynamics (QCD) system with $N_f=2$ (two quark flavors),…

High Energy Physics - Phenomenology · Physics 2017-04-12 Zan Pan , Zhu-Fang Cui , Chao-Hsi Chang , Hong-Shi Zong