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Dynamical chiral symmetry breaking (D$\chi$SB) is studied in the Nambu-Jona-Lasinio model for an arbitrary combination of external constant electric and magnetic fields. In 3+1 dimensions it is shown that the critical coupling constant…

High Energy Physics - Theory · Physics 2009-10-30 A. Yu. Babansky , E. V. Gorbar , G. V. Shchepanyuk

We study the effect of a uniform magnetic field $\vec B$ on the decays $\pi^-\to l^-\,\bar{\nu}_l$, where $l^-\,=e^-,\,\mu^-$, carrying out a general analysis that includes four $\pi^-$ decay constants. Taking the values of these constants…

High Energy Physics - Phenomenology · Physics 2020-10-01 M. Coppola , D. Gomez Dumm , S. Noguera , N. N. Scoccola

We use the Nambu-Jona-Lasinio model as an effective quark theory to investigate the medium modifications of the nucleon electromagnetic form factors. By using the equation of state of nuclear matter derived in this model, we discuss the…

Nuclear Theory · Physics 2009-11-11 T. Horikawa , W. Bentz

The properties of the neutral pion in quark matter under the influence of an external magnetic field are studied. The effects of the anomalous magnetic moments (AMM) of the quarks at finite density is considered. The inclusion of the AMM…

High Energy Physics - Phenomenology · Physics 2023-12-22 R. M. Aguirre

In the framework of non-relativistic QED, we show that the renormalized mass of the electron (after having taken into account radiative corrections) appears as the kinematic mass in its response to an external potential force. Specifically,…

Mathematical Physics · Physics 2018-03-28 Volker Bach , Thomas Chen , Jeremy Faupin , Juerg Froehlich , Israel Michael Sigal

We study the phase diagram of dense, locally neutral three-flavor quark matter within the framework of the Nambu--Jona-Lasinio model. In the analysis, dynamically generated quark masses are taken into account self-consistently. The phase…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan B. Ruester , Verena Werth , Michael Buballa , Igor A. Shovkovy , Dirk H. Rischke

We numerically solve the transport equations for a quark gas described by the the Nambu-Jona-Lasinio model. The mean field equations of motion, which consist of the Vlasov equation for the density and the gap equation for the mean field,…

High Energy Physics - Phenomenology · Physics 2009-10-30 P. Rehberg , J. H"ufner

We made a detailed study of the properties of the electron layer near the quark surface of strange stars with strong ($\sim 10^{14}-10^{17}$G) magnetic fields. The electrostatic potential and the electric field at the quark surface were…

Astrophysics · Physics 2007-05-23 Zheng Xiaoping , Yu Yunwei

It is well known that in noncentral heavy-ion collisions a transient strong magnetic field is generated in the direction perpendicular to the reaction plane. The maximal strength of this field is estimated to be $eB \sim m^2_{\pi} \sim 0.02…

High Energy Physics - Phenomenology · Physics 2013-08-14 C. S. Machado , F. S. Navarra , E. G. de Oliveira , J. Noronha , M. Strickland

Using an extended Nambu--Jona-Lasinio model as a low--energy effective model of QCD, we show that the vacuum in a strong external magnetic field (stronger than 10^{16} Tesla) experiences a spontaneous phase transition to an…

High Energy Physics - Phenomenology · Physics 2011-04-20 M. N. Chernodub

We discuss the low-energy dynamics of massless Dirac fermions interacting with a propagating, relativistic photon in 2+1 spacetime dimensions, when we turn on a uniform magnetic field. This problem can be solved when the magnetic field is…

High Energy Physics - Theory · Physics 2025-08-06 Thomas T. Dumitrescu , Juan Maldacena

We investigate the combined finite-size and thermo-magnetic effects on the properties of the quark matter, in the context of the two-flavored Nambu--Jona-Lasinio model. In particular, by using the mean-field approximation and the Schwinger…

High Energy Physics - Phenomenology · Physics 2023-07-18 Luciano M. Abreu , Emerson B. S. Corrêa , Elenilson S. Nery

The influence of an external constant uniform magnetic field on the Casimir energy density of a Dirac field under antiperiodic (and periodic) boundary condition is computed by applying Schwinger's proper time method. The result thus…

High Energy Physics - Theory · Physics 2007-05-23 M. V. Cougo-Pinto , C. Farina , A. C. Tort

A fraction of energy is theoretically predicted to be captured from electromagnetic field to form a gravitating mass, when a low-mass charged particle enters the strong field from a region of no electromagnetism. In this paper the mass…

General Physics · Physics 2009-08-09 Zihua Weng

With the Schwinger's proper-time formalism of the Nambu-Jona-Lasinio model, we investigate the finite volume effects in the presence of magnetic fields. Since the coupling constant $G$ can be influenced by strong magnetic fields, the model…

High Energy Physics - Phenomenology · Physics 2023-09-27 Shou-Zheng Su , Ye-Yin Zhao , Xin-Jian Wen

We study inverse magnetic catalysis in the Nambu--Jona-Lasinio model beyond mean field approximation. The feed-down from mesons to quarks is embedded in an effective coupling constant at finite temperature and magnetic field. While the…

High Energy Physics - Phenomenology · Physics 2016-06-22 Shijun Mao

While the dynamics of dimers and polymer chains in a viscous solvent is well understood within the celebrated Rouse model, the effect of an external magnetic field on the dynamics of a charged chain is much less understood. Here we…

Statistical Mechanics · Physics 2022-07-01 Rushikesh Shinde , Jens Uwe Sommer , Hartmut Löwen , Abhinav Sharma

We study the effect of a hot and dense medium on the binding energy of hadronic molecules with open-charm mesons. We focus on a recent chiral quark-model-based prediction of a molecular state in the $N \bar D$ system. We analyze how the…

High Energy Physics - Phenomenology · Physics 2016-08-17 T. F. Caramés , C. E. Fontoura , G. Krein , K. Tsushima , J. Vijande , A. Valcarce

We study the correlation length between test quarks with the same electric and color charges in the Nambu--Jona-Lasinio model, considering thermal and magnetic effects. We extract the correlation length from the quark correlation function.…

High Energy Physics - Phenomenology · Physics 2017-08-16 Alejandro Ayala , L. A. Hernandez , M. Loewe , Alfredo Raya , J. C. Rojas , R. Zamora

A previous study of the dynamical generation of masses in massless QCD is considered from another viewpoint. The quark mass is assumed to have a dynamical origin and is substituted by a scalar field without self-interaction. The potential…

High Energy Physics - Phenomenology · Physics 2011-04-20 Alejandro Cabo Montes de Oca
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