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Related papers: Meson Properties in the 1/N_c-corrected NJL model

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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

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

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 investigate the effect of mesonic fluctuations on the pion propagator in the Nambu-Jona-Lasinio (NJL) model by explicitly taking into account 1/N_c corrections. Because of the non-renormalizability of the model we have to regularize the…

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

We test the stability of the mean-field solution in the Nambu--Jona-Lasinio model. For stable solutions with respect to both the \sigma and \pi directions, we investigate effects of the mesonic loop corrections of 1/N_c, which correspond to…

High Energy Physics - Phenomenology · Physics 2007-07-12 Tomohiko Sakaguchi , Kouji Kashiwa , Masayuki Matsuzaki , Hiroaki Kouno , Masanobu Yahiro

Some properties of the rho vector meson are calculated within the Nambu-Jona-Lasinio model, including processes that go beyond the random phase approximation. To classify the higher order contributions, we adopt $1/N_c$ as expansion…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Polleri , R. A. Broglia , P. M. Pizzochero , N. N. Scoccola

We investigate the properties of scalar and pseudo-scalar mesons at finite temperature and quark chemical potential in the framework of the Nambu-Jona-Lasinio (NJL) model coupled to the Polyakov loop (PNJL model) with the aim of taking into…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Hansen , W. M. Alberico , A. Beraudo , A. Molinari , M. Nardi , C. Ratti

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

We revisit the theoretical predictions for anomalous radiative decays of pseudoscalar and vector mesons. Our analysis is performed in the framework of the Nambu-Jona-Lasinio model, introducing adequate parameters to account for the…

High Energy Physics - Phenomenology · Physics 2009-01-07 L. Epele , H. Fanchiotti , D. Gomez Dumm , A. G. Grunfeld

The Nambu--Jona-Lasinio model is investigated in the $1/N_c$ expansion with the dimensional regularization. At the four-dimensional limit the meson propagators have simple forms in the leading order of the $1/N_c$ expansion. Thus the next…

High Energy Physics - Phenomenology · Physics 2015-06-18 T. Inagaki , D. Kimura , H. Kohyama

Based on a recently derived effective chiral meson Lagrangian from the extended SU(2)\otimes SU(2) Nambu -- Jona-Lasinio (ENJL) model, in the linear realization of chiral symmetry, we extract to leading order in the 1/N_c expansion all…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alexander A. Osipov , Marcos Sampaio , Brigitte Hiller

The description of baryons as chiral solitons of the Nambu--Jona--Lasinio (NJL) model is reviewed. A motivation for the soliton description of baryons is provided from large $N_C$ QCD. Rigorous results on the spontaneous breaking of chiral…

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

Various aspects of the Generalised Nambu-Jona-Lasinio model for QCD in four dimensions are reviewed. The properties of mesonic excitations are discussed in detail, with special attention paid to the chiral pion. The spontaneous chiral…

High Energy Physics - Phenomenology · Physics 2017-09-05 Yu. S. Kalashnikova , A. V. Nefediev , J. E. F. T. Ribeiro

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

Modifications of baryon properties due to the restoration of the chiral symmetry in an external hot and dense baryon medium are investigated in an effective chiral quark-meson theory. The nucleon arises as a soliton of the Gell-Mann -…

High Energy Physics - Phenomenology · Physics 2009-10-22 Chr. V. Christov , E. Ruiz Arriola , K. Goeke

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 $\rho\omega$--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

The momentum-space bosonization method of a Nambu and Jona-Lasinio type model with vector and axial-vector mesons is applied to $\pi\pi$ scattering. Unlike the case in earlier published papers, we obtain the $\pi\pi$ scattering amplitude…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Bernard , A. H. Blin , B. Hiller , Y. P. Ivanov , A. A. Osipov , Ulf-G. Meißner

Nambu--Jona-Lasinio (NJL) model with Kobayashi-Maskawa-'t Hooft (KMT) term is one of low energy effective theory of QCD which includes the $U_A(1)$ anomaly. We investigate nonet meson properties in this model with three flavors of quarks.…

High Energy Physics - Phenomenology · Physics 2011-02-18 T. Inagaki , D. Kimura , H. Kohyama , A. Kvinikhidze

We present a novel framework for analyzing unstable composite particles using Green's functions and dispersion relations. As an illustrative example, we explore the $\rho$ vector meson decay process $\rho\to\pi\pi$ within the Nambu -- Jona…

High Energy Physics - Phenomenology · Physics 2025-05-29 Qing-Wu Wang , Xiao-Fu Ł\textü , Hua-Zhong Guo
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