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Nambu-Goto action in classical bosonic string model for hadrons predicts quark-antiquark potential to be\cite{Nambu-Goto} $V(r)=-\frac{\gamma}{r}+\sigma r +\mu_0$. In this report we present studies of masses of heavy flavour mesons in…

High Energy Physics - Phenomenology · Physics 2016-11-29 Sabyasachi Roy , D. K. Choudhury

Radiative decays of pseudoscalar and vector mesons are calculated in the framework of the chiral Nambu-Jona-Lasinio (NJL) model. We use the amplitude for triangle quark loops of anomalous type. In evaluating these loop integrals we use two…

High Energy Physics - Phenomenology · Physics 2008-11-07 Yu. M. Bystritskiy , E. A. Kuraev , M. Sečanský , M. K. Volkov

We study the equation of state of QCD using an improved version of the three-flavor Polyakov-Nambu-Jona-Lasinio model beyond the mean-field approximation. It incorporates the effects of unquenched quarks into the Polyakov-loop effective…

Nuclear Theory · Physics 2017-10-25 Juan M. Torres-Rincon , Joerg Aichelin

Lattice QCD has the sign problem at real quark chemical potential. There are some regions with no sign problem; one is the imaginary quark chemical potential region and the others are the real and imaginary isospin chemical potential…

High Energy Physics - Phenomenology · Physics 2011-03-18 Yuji Sakai , Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

We investigate the influence of an external magnetic field on chiral symmetry breaking in the Nambu-Jona-Lasinio (NJL) model at finite temperature and chemical potential. According to the Fock-Schwinger proper-time method, we calculate the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tomohiro Inagaki , Daiji Kimura , Tsukasa Murata

The influence of mesonic fluctuations on quantities in the Nambu-Jona-Lasinio model is examined in different approximation schemes: an expansion in powers of 1/N_c and an expansion up to one-meson loop in the effective action formalism. It…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Oertel

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

By extending the $\Phi$-derivable approach in Nambu-Jona-Lasinio model to finite magnetic field we calculate the properties of pion, $\sigma$ and $\rho$ mesons in a magnetic field at finite temperature in not only the quark-antiquark bound…

High Energy Physics - Phenomenology · Physics 2016-07-13 Rui Zhang , Wei-jie Fu , Yu-xin Liu

In this study, we investigate the mass spectrum of $\pi$ and $\sigma$ mesons at finite chemical potential using the self-consistent NJL model and the Fierz-transformed interaction Lagrangian. The model introduces an arbitrary parameter…

High Energy Physics - Phenomenology · Physics 2023-10-09 Xiaozhu Yu , Xinyang Wang

We present initial results of a numerical investigation of the chiral symmetry restoring transition in the (3+1)-dimensional Nambu -- Jona-Lasinio model with both non-zero baryon chemical potential (mu_B) and isospin chemical potential…

High Energy Physics - Lattice · Physics 2009-11-10 David N. Walters , Simon Hands

We study the response of meson masses to the chemical potential ($\partial{m}/\partial{\mu}$) at high temperature and at zero chemical potential on $N_f=2$ lattice with staggered fermions. Preliminary results for the meson composed of…

High Energy Physics - Lattice · Physics 2012-08-27 TARO Collaboration , Ph. deForcrand , T. Hashimoto , S. Hioki , Y. Liu , H. Matsufuru , O. Miyamura , A. Nakamura , T. Takaishi , T. Umeda

This paper describes dynamic and thermodynamic (at $T=0$) properties of mesons in asymmetric matter in the framework of Chiral Perturbation Theory. We consider a mesonic system at vanishing temperature with nonzero isospin chemical…

High Energy Physics - Phenomenology · Physics 2017-06-19 Andrea Mammarella

We investigate nucleon mass splitting at finite isospin chemical potential in the frame of two flavor Nambu--Jona-Lasinio model. It is analytically proved that, in the phase with explicit isospin symmetry breaking the proton mass decreases…

Nuclear Theory · Physics 2008-11-26 Sheng Chang , Jifeng Liu , Pengfei Zhuang

We investigate the meson mass spectrum in the strong coupling limit of lattice QCD with one species of staggered fermion for the SU(N_c) color gauge group, including N_c=3. We analytically derive meson masses as functions of temperature and…

High Energy Physics - Lattice · Physics 2009-04-14 Noboru Kawamoto , Kohtaroh Miura , Akira Ohnishi

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

We revisit the suggestion that charged rho-mesons undergo Bose-Einstein condensation in isospin-rich nuclear matter. Using a simple version of the Nambu-Jona-Lasinio (NJL) model, we conclude that rho-meson condensation is either avoided or…

High Energy Physics - Phenomenology · Physics 2016-11-08 Tomas Brauner , Xu-Guang Huang

In this thesis work we have employed two microscopic models (ladder-QCD and Nambu-Jona-Lasinio) for describing the properties of the QCD phase diagram at finite temperature and quark densities. In particular, we have studied the mechanism…

High Energy Physics - Phenomenology · Physics 2009-09-29 Lorenzo Ravagli

We test the reliability of the the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model, comparing the model result with the lattice data at nonzero imaginary chemical potential. The PNJL model with the vector-type four-quark and…

High Energy Physics - Phenomenology · Physics 2009-08-21 Yuji Sakai , Kouji Kashiwa , Hiroaki Kouno , Masayuki Matsuzaki , Masanobu Yahiro

An extended version of the Zimanyi-Moskowski (ZM) model has been used to calculate the temperature dependence of the hadronic masses. The calculation of meson masses in the Random Phase Approximation (RPA) gives an increase in the $\sigma$,…

Nuclear Theory · Physics 2016-09-08 Abhijit Bhattacharyya , Sibaji Raha

We discuss the extension of gauge-invariant electric and magnetic screening masses in the Quark-Gluon Plasma to the case of a finite baryon density, defining them in terms of a matrix of Polyakov loop correlators. We present lattice results…

High Energy Physics - Lattice · Physics 2018-04-04 Michele Andreoli , Claudio Bonati , Massimo D'Elia , Michele Mesiti , Francesco Negro , Andrea Rucci , Francesco Sanfilippo