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Differential regularization is applied to a field theory of a non-relativistic charged boson field $\phi$ with $\lambda (\phi {}^{*} \phi)^2$ self-interaction and coupling to a statistics-changing $U(1)$ Chern-Simons gauge field.…

High Energy Physics - Theory · Physics 2009-10-08 D. Z. Freedman , G. Lozano , N. Rius

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

It is shown that the endpoint of the first order transition line which merges into a crossover regime in the phase diagram of the Nambu--Jona-Lasinio model, extended to include the six-quark 't Hooft and eight-quark interaction Lagrangians,…

High Energy Physics - Phenomenology · Physics 2010-07-02 B. Hiller , J. Moreira , A. A. Osipov , A. H. Blin

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 nonperturbative renormalization group equation describes how the momentum dependent four-quark vertex depends on an infrared cutoff. We find a quasilocal one-particle irreducible piece generated by (anomaly-free) multi-gluon exchange. It…

High Energy Physics - Phenomenology · Physics 2009-10-31 Enrico Meggiolaro , Christof Wetterich

We examine $O(1/\Ne)$ rotational corrections to axial couplings \gt~ and \go~ in the framework of the semibosonized SU(3) Nambu--Jona-Lasinio model. A novelty is due to the observation that the rotational (cranking) velocity and the…

High Energy Physics - Phenomenology · Physics 2010-11-19 A. Blotz , M. Praszalowicz , K. Goeke

The effects of meson loops in the vacuum sector of the Nambu--Jona-Lasinio model are calculated. Using the effective action formalism we take consistently all next-to-leading-order $1 \over \Nc$ terms into account. This leads to a…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Nikolov , W. Broniowski , C. V. Christov , G. Ripka , K. Goeke

We study chiral symmetry breaking in the Nambu--Jona-Lasinio model regularized in proper-time in arbitrary space-time dimensions through an iterative procedure by writing the gap equation in the form of a discrete dynamical system with the…

High Energy Physics - Phenomenology · Physics 2018-10-03 Aftab Ahmad , Angelo Martínez , Alfredo Raya

We apply Bogolubov approach to QCD with two light quarks to demonstrate a spontaneous generation of an effective interaction, leading to the Nambu -- Jona-Lasinio model. The resulting theory contains two parameters: average low-energy value…

High Energy Physics - Phenomenology · Physics 2009-11-11 Boris A. Arbuzov , Mikhail K. Volkov , Ivan V. Zaitsev

We study the Nambu--Jona-Lasinio model at finite temperature and finite density by using the functional renormalization group. The RG flows of the four-fermi coupling constant in the NJL model are investigated. We obtain the chiral phase…

High Energy Physics - Phenomenology · Physics 2015-10-05 Ken-Ichi Aoki , Masatoshi Yamada

Usual treatment of the Nambu--Jona-Lasinio (NJL) model using loop momentum cutoff suffers from ambiguities in choosing the loop momenta to be cut off and violation of (external) gauge invariance. We define the NJL model from the starting…

High Energy Physics - Phenomenology · Physics 2009-10-28 Takashi HAMAZAKI , Taichiro KUGO

In this paper, we report the results of our study on the nuclear medium modifications of the meson electromagnetic form factors in the framework of the Nambu--Jona-Lasinio (NJL) model with the help of the Schwinger proper-time…

High Energy Physics - Phenomenology · Physics 2024-10-29 Geoffry Gifari , Parada T. P. Hutauruk , Terry Mart

We investigate the three flavor Nambu-Jona Lasinio model of neutral quark matter at zero temperature and finite density, keeping into account the scalar, the pseudoscalar and the Kobayashi-Maskawa-'t Hooft interactions as well as the…

High Energy Physics - Phenomenology · Physics 2009-11-05 H. Abuki , R. Gatto , M. Ruggieri

An extended Nambu-Jona-Lasinio (NJL) model with chiral group $U(2)\times U(2)$ and spin-0 and spin-1 four quark interactions is used to develop the gauge covariant approach to the diagonalization of the $\pi-a_1$ mixing in the presence of…

High Energy Physics - Phenomenology · Physics 2019-12-02 A. A. Osipov , B. Hiller , P. M. Zhang

We have determined the relation between the in-medium $\omega $ meson mass and quark condensate in the framework of a Nambu Jona-Lasinio model constrained by some recent experimental data on the meson properties in nuclei. In addition to…

Nuclear Theory · Physics 2008-11-26 R. Huguet , J. C. Caillon , J. Labarsouque

Dimensional regularization of Euclidean momentum space integrals is a highly successful technique in renormalization of quantum field theories. While it yields a straightforward algorithmic method, with which to evaluate diagrams beyond…

Mathematical Physics · Physics 2020-09-03 Juuso Österman

We explore the features of the $U_A(1)$ and chiral symmetry breaking of the Nambu--Jona-Lasinio model without the Kobayashi-Maskawa-'t Hooft determinant term in the presence of a parallel electromagnetic field. We show that the…

Nuclear Theory · Physics 2018-03-19 Lingxiao Wang , Gaoqing Cao , Xu-Guang Huang , Pengfei Zhuang

We use the Nambu-Jona-Lasinio model as an effective quark theory to investigate the medium modifications of the nucleon electromagnetic form factors. By using the equation of state of nuclear matter derived in this model, we discuss the…

Nuclear Theory · Physics 2009-11-11 T. Horikawa , W. Bentz

The breaking of chiral symmetry of light quarks at zero temperature in presence of strong quantizing magnetic field is studied using Nambu-Jona-Lasinio (NJL) model with Thomas-Fermi type semi-classical formalism. It is found that the…

Astrophysics · Physics 2007-05-23 Sutapa Ghosh , Soma Mandal , Somenath Chakrabarty

We study the $K \to 2 \pi$ decays using the $U_L(3) \times U_R(3)$ version of the Nambu-Jona-Lasinio model with the effective $\Delta S = 1$ nonleptonic weak interaction. The $\Delta I = {3/2}$ amplitude is in reasonable agreement with…

High Energy Physics - Phenomenology · Physics 2009-09-25 M. Takizawa , T. Inoue , M. Oka
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