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We solve the gauged Nambu--Jona-Lasinio model at leading order in the large $N$ expansion by computing the anomalous dimensions of all the fields of the model and other gauge independent critical exponents by examining the scaling behaviour…

High Energy Physics - Theory · Physics 2014-11-18 J. A. Gracey

We present a derivation of the low-energy effective meson Lagrangian of the extended Nambu -- Jona-Lasinio (ENJL) model. The case with linear realization of broken $SU(2)\times SU(2)$ chiral symmetry is considered. There are two crucial…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alexander A. Osipov , Brigitte Hiller

We discuss the phase structure (in the $1/N$-expansion) of the Nambu-Jona-Lasinio model in curved spacetime with non-trivial topology ${\cal M}^3 \times {\rm S}^1$. The evaluation of the effective potential of the composite field…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. Leseduarte , S. D. Odintsov

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

We investigate the phase diagram of strongly interacting matter as a function of temperature and baryonic density/chemical potential, within Nambu--Jona-Lasinio type models. We perform a systematic study concerning the existence, location,…

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

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

The nonet meson properties are studied in the Nambu-Jona-Lasinio model at finite temperature and chemical potential using dimensional regularization. This study leads to the reasonable description which is mainly similar to one obtained in…

High Energy Physics - Phenomenology · Physics 2013-05-30 T. Inagaki , D. Kimura , H. Kohyama , A. Kvinikhidze

We propose the 3-momentum sphere intersection regularization applied to the one and two fermion line integrals at finite temperature and chemical potential. The quark-antiquark polarization function in this new regularization approach is…

High Energy Physics - Phenomenology · Physics 2023-10-10 Renan Câmara Pereira , João Moreira , Pedro Costa , Constança Providência

Properties of mesons are investigated within the Nambu--Jona-Lasinio model. We include meson-loop corrections, which are generated via a systematic 1/N_c-expansion in next-to-leading order. We show that our scheme is consistent with chiral…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Oertel , M. Buballa , J. Wambach

We explore the properties of neutral mesons within the context of a chirally imbalanced medium, employing the two-flavor Nambu--Jona-Lasinio model. The temperature dependence of the constituent quark mass at finite values of the chiral…

High Energy Physics - Phenomenology · Physics 2024-01-23 Snigdha Ghosh , Nilanjan Chaudhuri , Sourav Sarkar , Pradip Roy

We discuss the Nambu-Jona-Lasinio (NJL) model in curved space-time with torsion in the leading order of the $1/N$ expansion. The effective potential of the torsion sector is calculated using the new technique based on the nonlocal part of…

High Energy Physics - Theory · Physics 2024-12-16 Públio Rwany Batista Ribeiro do Vale

We study the relevance of strange degrees of freedom for nucleon structure functions. For this purpose we employ the three flavor generalization of the collective quantization approach to the chiral soliton of the bosonized…

High Energy Physics - Phenomenology · Physics 2009-10-31 O. Schroeder , H. Reinhardt , H. Weigel

We compare two different possibilities to include meson-loop corrections in the Nambu-Jona-Lasinio model: a strict 1/N_c-expansion in next-to-leading order and a non-perturbative scheme corresponding to a one-meson-loop approximation to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Oertel , M. Buballa , J. Wambach

In this study, we investigate the Nambu--Jona-Lasinio (NJL) model at finite temperature and finite density in an external magnetic field using the functional renormalization group. We investigate the dependence of the position of the…

High Energy Physics - Phenomenology · Physics 2016-01-18 Ken-Ichi Aoki , Hidenari Uoi , Masatoshi Yamada

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

The Nambu--Jona-Lasinio (NJL) model is one of the most useful tools to study non-perturbative strong interaction matter. Because it is a nonrenormalizable model, the choosing of regularization is a subtle issue. In this paper, we discuss…

High Energy Physics - Phenomenology · Physics 2022-01-26 Kai Xue , Xiaozhu Yu , Xinyang Wang

In present report we review some preliminary results of investigation of higher orders of mean-field expansion for Nambu--Jona-Lasinio model. We discuss first results of investigation of next-to-next-to-leading order of mean-field expansion…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. G. Jafarov , V. E. Rochev

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

A simple explanation of the dynamic properties of vector mesons is given in the framework of extended Nambu - Jona-Lasinio quark model. New mass relations among the hadron vector resonances are derived. The results of this approach are in…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. V. Chizhov

We introduce non-trivial two-point functions of the super Schur polynomials in the ABJM matrix model and study their exact values with the Fermi gas formalism. We find that, although defined non-trivially, these two-point functions enjoy…

High Energy Physics - Theory · Physics 2018-07-04 Naotaka Kubo , Sanefumi Moriyama