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Related papers: Meson loop effects in the NJL model at zero and no…

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We investigate the influence of the allowed unphysical meson decay into a quark-antiquark pair of the three flavour Nambu--Jona-Lasinio (NJL) model on its parameter fixing. This decay manifests in a non-vanishing imaginary part of the…

High Energy Physics - Phenomenology · Physics 2022-01-27 Dominic Kraatz , Michel Stillger

By using the extrapolation method, a polarized Polykov-loop potential at finite real angular velocity is constructed from the lattice results at finite imaginary angular velocity. The chiral and deconfinement phase transitions under…

High Energy Physics - Phenomenology · Physics 2024-03-19 Fei Sun , Jingdong Shao , Rui Wen , Kun Xu , Mei Huang

In this article we study the finite temperature and chemical potential effects in a nonlocal Nambu-Jona-Lasinio (nNJL) model in the real time formalism. We make the usual Wick rotation to get from imaginary to real time formalism. In doing…

High Energy Physics - Phenomenology · Physics 2013-09-11 M. Loewe , F. Marquez , C. Villavicencio

We investigate the charged-neutral pion self-energy difference at finite temperature. Within Chiral Perturbation Theory we extend previous analysis in the chiral and soft pion limits. Our analysis with physical masses leads to additional…

High Energy Physics - Phenomenology · Physics 2014-06-18 A. Gomez Nicola , R. Torres Andres

We study finite volume effects within the Polyakov loop Nambu-Jona-Lasinio model for two light and one heavy quarks at vanishing baryon chemical potential and finite temperatures. We include three different Polyakov loop potentials and…

High Energy Physics - Phenomenology · Physics 2018-08-24 A. G. Grunfeld , G. Lugones

The thermodynamic potential and thermal dependence of low lying mass spectra of scalars and pseudoscalars are evaluated in a generalized Nambu -- Jona-Lasinio model, which incorporates eight-quark interactions. These are necessary to…

High Energy Physics - Phenomenology · Physics 2009-11-13 B. Hiller , A. A. Osipov , J. Moreira , A. H. Blin

We analyze the chiral phase transition of the Nambu--Jona-Lasinio model in the cold and dense region on the lattice developing the Grassmann version of the anisotropic tensor renormalization group algorithm. The model is formulated with the…

High Energy Physics - Lattice · Physics 2021-01-22 Shinichiro Akiyama , Yoshinobu Kuramashi , Takumi Yamashita , Yusuke Yoshimura

We calculate within the Extended Nambu--Jona-Lasinio model the leading in $1/N_c$ contribution to $\gamma\gamma\to\pi^0\pi^0$ to all orders in the external momenta and quark masses. This result is then combined with the known two-loop…

High Energy Physics - Phenomenology · Physics 2009-10-28 Johan Bijnens , Ansar Fayyazuddin , Joaquim Prades

We show how to derive the complete set of electromagnetic corrections to the Nambu-Jona-Lasinio (NJL) model of the nucleon. Our results enable an accurate estimate of the electromagnetic contribution to the neutron-proton mass difference…

Nuclear Theory · Physics 2009-10-31 A. N. Kvinikhidze , B. Blankleider

Meson-meson correlation effects are investigated in the $\NNb\to\rho\pi$ annihilation process using a realistic meson-exchange model for the $\rho\pi$ interaction determined previously, together with a conventional baryon-exchange…

Nuclear Theory · Physics 2009-10-28 V. Mull , G. Janssen , J. Speth , K. Holinde

The $\rho$ meson self-energy in nuclear matter from baryonic loops is analysed in the real time formulation of field theory at finite temperature and density. The discontinuities across the branch cuts of the self-energy function are…

Nuclear Theory · Physics 2011-09-14 Sabyasachi Ghosh , Sourav Sarkar

By considering the background field method we calculate one-loop polarization corrections to the coupling constant of the flavor-U(5) Nambu-Jona-Lasinio (NJL) model with degenerate up and down quarks. They break flavor and chiral…

High Energy Physics - Phenomenology · Physics 2024-08-16 Willian F. de Sousa , Fabio L. Braghin

The problem of quantum fluctuations of the chiral condensate due to next-to-leading contributions is investigated. Meson contributions to the chiral condensate are calculated in the Nambu--Jona-Lasinio model with the analytical…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. E. Rochev

We explore the phase diagram and the modification of mesonic observables in a hot and dense medium using the (2+1) Polyakov-Nambu-Jona-Lasinio model. We present the phase diagram in the ($T,\,\mu_B$)-plane, with its isentropic trajectories,…

High Energy Physics - Phenomenology · Physics 2019-04-12 Pedro Costa , Renan Câmara Pereira

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

The Euclidean-time hadronic current correlation functions, $G_P(\tau, T)$ and $G_V(\tau, T)$, of pseudoscalar and vector currents have recently been calculated in lattice simulations of QCD and have been used to obtain the corresponding…

High Energy Physics - Phenomenology · Physics 2009-11-10 Bing He , Hu Li , C. M. Shakin , Qing Sun

The $\rho\omega$--mixing generated by the isospin breaking of the current quark masses $m_{u} \neq m_{d}$ is studied within the bosonized NJL model in the gradient expansion. The resulting effective meson lagrangian naturally incorperates…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. Friedrich , H. Reinhardt

Hot and dense quark matter with isospin and chiral imbalances is investigated in the framework of the (3+1)-dimensional Nambu--Jona-Lasinio model (NJL) in the large-$N_c$ limit ($N_c$ is the number of quark colors). Its phase structure is…

High Energy Physics - Phenomenology · Physics 2019-03-27 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

In this talk we review the limitations of including meson loops as perturbative corrections in a solvable quark model. We first discuss meson-meson scattering within a formalism which treats confined quark pairs and mesons on an equal…

Nuclear Theory · Physics 2015-01-12 K. P. Khemchandani , Eef Van Beveren , George Rupp

We investigate the dynamical chiral symmetry breaking and its restoration at finite density and temperature within the two-flavor Nambu-Jona-Lasinio model, and mainly focus on the critical behaviors near the critical end point (CEP) and…

High Energy Physics - Phenomenology · Physics 2015-10-19 Ya Lu , Yi-Lun Du , Zhu-Fang Cui , Hong-Shi Zong