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We compute the variation of the masses of the proton and the neutron induced by the presence of a strong external magnetic field. We discuss the choice of the wave function and different techniques how to apply the magnetic field. The…

High Energy Physics - Lattice · Physics 2009-10-28 H. R. Rubinstein , S. Solomon , T. Wittlich

We study the mass spectra and decay process of $\sigma$ and $\pi_0$ mesons under strong external magnetic field. For this purpose, we deduce the thermodynamic potential in a two-flavor, hot and magnetized Nambu-Jona-Lasinio model. We…

High Energy Physics - Phenomenology · Physics 2022-04-14 Shuyun Yang , Meng Jin , Defu Hou

We revisit three of the mathematical formalisms used to describe magnetized quark matter in compact objects within the MIT and the Nambu-Jona-Lasinio models and then compare their results. The tree formalisms are based on 1) isotropic…

Nuclear Theory · Physics 2016-02-09 Debora P. Menezes , Luiz L. Lopes

The expression for the dynamical mass of fermions in QED in a magnetic field is obtained for a large number of the fermion flavor N in the framework of 1/N expansion. The existence of a threshold value N_{thr}, dividing the theories with…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

The Nambu--Jona-Lasinio model (NJL) is extended to incorporate heavy quark spin-symmetry. In this model baryons containing one heavy quark are analyzed as bound-states of light baryons, represented as chiral solitons, and mesons containing…

High Energy Physics - Phenomenology · Physics 2016-08-15 L. Gamberg , H. Weigel , U. Zückert , H. Reinhardt

We study light meson properties in a magnetic field, focusing on a charged pion and a charged and polarized rho meson, in quenched lattice QCD. The gauge-invariant density-density correlators are calculated to investigate the deformation…

High Energy Physics - Lattice · Physics 2019-04-30 Koichi Hattori , Arata Yamamoto

In this work, a modified Nambu-Jona-Lasinio (NJL) model with proper-time regularization is employed to study the structure of nonstrange quark stars. The coupling constant of four-fermion interaction in the conventional NJL model is…

High Energy Physics - Phenomenology · Physics 2022-12-28 Cheng-Ming Li , Shu-Yu Zuo , Ya-Peng Zhao , Hui-Jun Mu , Yong-Feng Huang

It is known that the symmetric (massless) state of the Nambu--Jona-Lasinio model in 2+1 dimensions in a magnetic field B is not the ground state of the system at zero temperature due to the presence of a negative, linear in &|\sigma+i\pi|$,…

High Energy Physics - Phenomenology · Physics 2012-09-19 O. V. Gamayun , E. V. Gorbar , V. P. Gusynin

The main results of our analysis of the two flavor Nambu--Jona-Lasinio model with $SU(2) \times SU(2)$ chiral symmetry on the four--dimensional hypercubic lattice with naive and Wilson fermions are presented. Large $N$ techniques and…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar , P. Vranas

A description of fragmentation functions which satisfy the momentum and isospin sum rules is presented in an effective quark theory. Concentrating on the pion fragmentation function, we first explain why the elementary (lowest order)…

Nuclear Theory · Physics 2009-11-06 T. Ito , W. Bentz , I. C. Cloët , A. W. Thomas , K. Yazaki

The Nambu--Jona-Lasinio model is chirally symmetric. Addition of a Wilson term explicitly breaks this symmetry and leaves the model with a remaining parity-flavor symmetry. In the approximation of a large number of colors it has been shown…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar , P. M. Vranas

To study the high energy nuclear physics and the associated phenomenon, as the QGP/hadronic matter phase transition, the Nambu and Jona-Lasinio model (NJL) appears as an interesting alternative to the Quantum Chromodynamics, which is not…

High Energy Physics - Phenomenology · Physics 2015-10-28 Eric Blanquier

We present the current status of our lattice calculation of the electromagnetic form factor of the pion with two flavours of non-perturbatively O(a)-improved Wilson fermions. Using twisted boundary conditions and stochastic sources we…

High Energy Physics - Lattice · Physics 2013-01-17 Bastian B. Brandt , Andreas Juttner , Hartmut Wittig

A nonlocal covariant extension of the two-flavor Nambu and Jona-Lasinio (NJL) model is constructed, with built-in constraints from the running coupling of QCD at high-momentum and instanton physics at low-momentum scales. Chiral low-energy…

High Energy Physics - Phenomenology · Physics 2010-04-15 T. Hell , S. Roessner , M. Cristoforetti , W. Weise

The magnetic polarisability is a fundamental property of hadrons, which provides insight into their structure in the low-energy regime. The pion magnetic polarisability is calculated using lattice QCD in the presence of background magnetic…

High Energy Physics - Lattice · Physics 2020-11-09 Ryan Bignell , Waseem Kamleh , Derek Leinweber

We study the fixed point of the three-dimensional NJL model in a double-scaling limit where both the charge $Q$ and the number of fermion flavors $N$ become large with a fixed ratio $q=Q/(2N)$. While a similar analysis has been performed…

High Energy Physics - Theory · Physics 2025-05-29 Jahmall Bersini , Simeon Hellerman , Domenico Orlando , Susanne Reffert

After a short review of Lattice QCD methodology and techniques, I summarize recent results of Lattice QCD calculations of the interactions of nucleons and light nuclei with magnetic fields at pion masses of 805 MeV and 450 MeV.…

High Energy Physics - Lattice · Physics 2015-08-05 Martin J. Savage

The possibility of the pion condensation phenomenon in cold and electrically neutral dense baryonic matter is investigated in $\beta$-equilibrium. For simplicity, the consideration is performed in the framework of a NJL model with two quark…

High Energy Physics - Phenomenology · Physics 2009-01-07 D. Ebert , K. G. Klimenko

Electromagnetic polarizabilities are important parameters for understanding the interaction between photons and hadrons. For pions these quantities are poorly constrained experimentally since they can only be measured indirectly. New…

High Energy Physics - Lattice · Physics 2016-02-17 Andrei Alexandru , Michael Lujan , Walter Freeman , Frank Lee

Lattice QCD calculations with background magnetic fields are used to determine the magnetic moments of the octet baryons. Computations are performed at the physical value of the strange quark mass, and two values of the light quark mass,…

High Energy Physics - Lattice · Physics 2017-07-19 Assumpta Parreno , Martin J. Savage , Brian C. Tiburzi , Jonas Wilhelm , Emmanuel Chang , William Detmold , Kostas Orginos