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The $\pi_0$ neutral meson pole mass is calculated in a strongly magnetized medium using the SU(2) Nambu-Jona-Lasinio model within the random phase approximation (RPA) at zero temperature and zero baryonic density. We employ a magnetic field…

High Energy Physics - Phenomenology · Physics 2017-02-23 Sidney S. Avancini , Ricardo L. S. Farias , Marcus Benghi Pinto , William R. Tavares , Varese S. Timóteo

We calculate the screening masses of pseudoscalar mesons in a hot and strongly magnetized medium within the framework of the SU(3) Nambu-Jona--Lasinio model, using a magnetic field-independent regularization scheme. Inverse magnetic…

High Energy Physics - Phenomenology · Physics 2025-06-11 Máximo Coppola , William R. Tavares , Sidney S. Avancini , Joana C. Sodré , Norberto N. Scoccola

The mass formulas and decay constants of electrically charged and strange pseudoscalar mesons are analyzed within the combined framework of Nambu -- Jona-Lasinio model and the $1/N_c$ expansion up to $\mathcal O(1/N_c^2)$. The light quark…

High Energy Physics - Phenomenology · Physics 2023-07-28 A. A. Osipov

Correlators of vector, axial and pseudoscalar currents have been calculated in external strong magnetic field in SU(2) gluodynamics on the lattice. Neutral $\rho$ and $A$ meson masses with a zero spin projection to the axis parallel to the…

High Energy Physics - Lattice · Physics 2015-06-16 E. V. Luschevskaya , O. V. Larina

We calculated correlators of vector, axial and pseudoscalar currents in external strong abelian magnetic field according to SU(2) gluodynamics. The masses of neutral $\rho$ and $A$ mesons with various spin projections to the axis parallel…

High Energy Physics - Lattice · Physics 2014-01-09 E. V. Luschevskaya , O. V. Larina

We investigate the masses (ground state energies) of neutral pseudoscalar and vector meson in $SU(3)$ lattice gauge theory in strong abelian magnetic field. The energy of $\rho^0$ meson with zero spin projection $s_z=0$ on the axis of the…

High Energy Physics - Lattice · Physics 2015-07-29 E. V. Luschevskaya , O. E. Solovjeva , O. A. Kochetkov , O. V. Teryaev

Third QED order hadronic light-by-light (LBL) contributions $a_\mu^{LBL}(M)$ to the anomalous magnetic moment of the muon $a_\mu^{had}$ from the pole terms of scalar $\sigma$, $a_0(980)$ and pseudoscalar $\pi^0$, $\eta$, $\eta '$ mesons (M)…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Bartos , A. -Z. Dubnickova , S. Dubnicka , E. Kuraev , E. Zemlyanaya

We studied the temporal correlation function of mesons in the pseudo-scalar channel in (2+1)-flavor QCD in the presence of external magnetic fields at zero temperature. The simulations were performed on $32^3 \times 96$ lattices using the…

High Energy Physics - Lattice · Physics 2020-01-16 Heng-Tong Ding , Sheng-Tai Li , Swagato Mukherjee , Akio Tomiya , Xiao-Dan Wang

We investigate both (pseudo)scalar mesons and diquarks in the presence of external magnetic field in the framework of the two-flavored Nambu--Jona-Lasinio (NJL) model, where mesons and diquarks are constructed by infinite sum of quark-loop…

High Energy Physics - Phenomenology · Physics 2018-04-25 Hao Liu , Xinyang Wang , Lang Yu , Mei Huang

Understanding the screening mass of pseudoscalar mesons at finite temperature and magnetic field is crucial for comprehending the behavior of strongly interacting matter under extreme conditions, such as those found in the early universe or…

High Energy Physics - Lattice · Physics 2025-02-11 Rishabh Thakkar , Heng-Tong Ding , Jin-Biao Gu , Sheng-Tai

We study the features of a nonlocal SU(3) Polyakov-Nambu-Jona-Lasinio model that includes wave function renormalization. Model parameters are determined from vacuum phenomenology considering lattice QCD-inspired nonlocal form factors.…

High Energy Physics - Phenomenology · Physics 2018-05-23 J. P. Carlomagno

We determine the leading order mesonic~($B_0$ and $F_0$) and baryonic~($m_0$, $D$ and $F$) SU(3) chiral perturbation theory low energy constants from lattice QCD. We employ gauge ensembles with $N_f=3$ (i.e., $m_u=m_d=m_s$)…

High Energy Physics - Lattice · Physics 2022-04-01 Gunnar S. Bali , Sara Collins , Wolfgang Söldner , Simon Weishäupl

We study the SU(3) linear sigma model for the pseudoscalar mesons in the Gaussian Functional Approximation (GFA). We use the SU(3) linear sigma model Lagrangian with nonet scalar and pseudo-scalar mesons including symmetry breaking terms.…

High Energy Physics - Phenomenology · Physics 2014-11-20 Hua-Xing Chen , V. Dmitrasinovic , Hiroshi Toki

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

We calculate the mass spectra of the pseudoscalar and scalar meson nonets in the Nambu--Jona-Lasinio model with the 't Hooft interaction. We obtain satisfactory result for the pseudoscalar mesons. For the scalar mesons, the 't Hooft…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. K. Volkov , M. Nagy , V. L. Yudichev

In this work we calculate the pole-mass of the $\rho^0$ meson with different spin projections $s_z=0,\pm 1$ in the context of the magnetized two-flavor Nambu--Jona--Lasinio model. Making use of the mean field approximation to obtain the…

High Energy Physics - Phenomenology · Physics 2022-06-22 Sidney S. Avancini , Ricardo L. S. Farias , William R. Tavares , Varese S. Timóteo

The behavior of charged and neutral pion masses in the presence of a static uniform magnetic field is studied in the framework of the two-flavor Nambu-Jona-Lasinio (NJL) model. Analytical calculations are carried out employing the Ritus…

High Energy Physics - Phenomenology · Physics 2018-05-07 M. Coppola , D. Gomez Dumm , N. N. Scoccola

We compare two QCD-inspired quark models with four-fermion interaction, without and with the remnant coupling to low-energy gluons, in the regime of dynamical chiral symmetry breaking (DCSB). The first one, the Nambu-Jona-Lasinio (NJL)…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Andrianov , V. A. Andrianov

Temperature dependence of pion and sigma-meson screening masses is evaluated by the Polyakov-loop extended Nambu--Jona-Lasinio model with the entanglement vertex (EPNJL model). We propose a practical way of calculating meson screening…

High Energy Physics - Phenomenology · Physics 2015-04-30 Masahiro Ishii , Takahiro Sasaki , Kouji Kashiwa , Hiroaki Kouno , Masanobu Yahiro

We propose a practical effective model by introducing temperature ($T$) dependence to the coupling strengths of four-quark and six-quark Kobayashi-Maskawa-'t Hooft interactions in the 2+1 flavor Polyakov-loop extended Nambu-Jona-Lasinio…

High Energy Physics - Phenomenology · Physics 2017-07-05 Masahiro Ishii , Hiroaki Kouno , Masanobu Yahiro
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