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Related papers: Two- and Three-Point Functions in the Extended NJL…

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The self-energy of quarks is investigated for various models which are inspired by the Nambu--Jona-Lasinio (NJL) model. Including, beyond the Hartree-Fock approximation, terms up to second-order in the quark interaction, the real and…

Nuclear Theory · Physics 2009-10-22 P. P. Domitrovich , H. Müther

We employ the method of differential regularization to calculate explicitly the one-loop effective action of a bosonized $U_L(3)\times U_R(3)$ extended Nambu--Jona-Lasinio model consisting of scalar, pseudoscalar, vector and axial vector…

High Energy Physics - Theory · Physics 2015-06-26 Yaw-Hwang Chen , Su-Long Nyeo , Yeou-Wei Yang

The phase structure of the $d=3$ Nambu-Jona-Lasinio model in curved spacetime is considered to leading order in the $1/N$--expansion and in the linear curvature approximation. The possibility of a curvature-induced first-order phase…

High Energy Physics - Theory · Physics 2009-09-25 E. Elizalde , S. D. Odintsov , Yu. I. Shil'nov

The Nambu-Jona-Lasinio (NJL) model is one of the most frequently used four-fermion models in the study of dynamical symmetry breaking. In particular, the NJL model is convenient for that analysis at finite temperature, chemical potential…

High Energy Physics - Theory · Physics 2008-11-26 L. M. Abreu , M. Gomes , A. J. da Silva

We discuss the low-energy analysis of models involving quarks and four-fermion couplings. The relation with QCD and with other models of mesons and meson plus quarks at low energies is discussed. A short description of how the heat-kernel…

High Energy Physics - Phenomenology · Physics 2015-06-25 Johan Bijnens

We study nucleon structure functions within the bosonized version of the Nambu-Jona-Lasinio (NJL) model in which the nucleon emerges as the soliton in the chiral field. Upon boosting to the infinite momentum frame and performing the…

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

Employing a field dependent three-momentum cut-off regularization technique, we study the phase structure and mesonic masses using the $2$-flavour Nambu-Jona Lasinio model at finite temperature and density in presence of arbitrary external…

Nuclear Theory · Physics 2019-07-10 Nilanjan Chaudhuri , Snigdha Ghosh , Sourav Sarkar , Pradip Roy

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

The finite temperature effective potential in the 2+1 dimensional Nambu-Jona-Lasinio model is constructed up to the next to leading order in the large $N$ expansion, where $N$ is the number of flavors in the model. The distinctive feature…

High Energy Physics - Phenomenology · Physics 2016-08-25 E. P. Esposito , I. A. Shovkovy , L. C. R. Wijewardhana

The Nambu-Jona-Lasinio model is supplemented by the quark interaction generated by the one-gluon exchange. The employed gluon propagator exhibits the correct large momentum behavior of QCD, whereas the Landau-pole at low energies is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kurt Langfeld , Christiane Kettner , Hugo Reinhardt

In this review article, we give overview on the extended chiral quark models. In particular, how these models are extended to include the higher-order interactions, quantized fields, logarithmic potential and the effect of these…

Nuclear Theory · Physics 2017-07-26 M. Abu-Shady

The vacuum contribution to quark matter under a uniform magnetic field within the SU(3) version of the Nambu and Jona-Lasinio model is studied. The standard regularization procedure is examined and a new prescription is proposed. For this…

High Energy Physics - Phenomenology · Physics 2020-12-30 R. M. Aguirre

We study the features of a SU(2) Polyakov-Nambu-Jona-Lasinio model that includes wave function renormalization and nonlocal vector interactions. Within this framework we analyze, among other properties, the masses, width and decay constants…

High Energy Physics - Phenomenology · Physics 2019-10-23 J. P. Carlomagno , M. F. Izzo Villafañe

Based on an extended NJL model including heavy quark flavors, we calculate the form factors of pseudo-scalar and vector mesons. After take into account of the vector-meson-dominance effect which introduce a form factor correction to the…

High Energy Physics - Phenomenology · Physics 2015-09-24 Yi-Long Luan , Xiao-Lin Chen , Wei-Zhen Deng

We examine three point functions with two scalar operators and a higher spin current in 2d W_N minimal model to the next non-trivial order in 1/N expansion. The minimal model was proposed to be dual to a 3d higher spin gauge theory, and 1/N…

High Energy Physics - Theory · Physics 2017-10-11 Yasuaki Hikida , Takahiro Uetoko

We study the problem of triviality in the four dimensional Nambu-Jona-Lasinio model with discrete chiral symmetry using both large-N expansions and lattice simulations. We find that logarithmic corrections to scaling appear in the equation…

High Energy Physics - Lattice · Physics 2009-10-22 Seyong Kim , Aleksandar Kocic , John Kogut

We study the regularization dependence of the Nambu-Jona--Lasinio model (NJL) predictions for some properties of magnetized quark matter at zero temperature (and baryonic density) in the mean field approximation. The model parameter…

High Energy Physics - Phenomenology · Physics 2019-07-22 Sidney S. Avancini , Ricardo L. S. Farias , Norberto N. Scoccola , William R. Tavares

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

The mesonic quantum fluctuations and their corrections on the chiral condensate and pion polarization function are investigated in the self-consistent scheme of SU(2) Nambu-Jona-Lasinio model by exactly calculating the next-to-leading order…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mei Huang , Pengfei Zhuang , Weiqin Chao

In two-dimensional models of critical non-intersecting loops, there are $\ell$-leg fields that insert $\ell\in\mathbb{N}^*$ open loop segments, and diagonal fields that change the weights of closed loops. We conjecture an exact formula for…

Mathematical Physics · Physics 2026-05-06 Jesper Lykke Jacobsen , Rongvoram Nivesvivat , Sylvain Ribault , Paul Roux