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

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We study nucleon structure functions within the bosonized Nambu-Jona-Lasinio (NJL) model where the nucleon emerges as a chiral soliton. We discuss the model predictions on the Gottfried sum rule for electron-nucleon scattering. A comparison…

High Energy Physics - Phenomenology · Physics 2009-10-30 H. Weigel , L. Gamberg , H. Reinhardt

We study the regularization dependence on meson properties and the phase diagram of quark matter by using the two flavor Nambu-Jona-Lasinio model. We find that the meson properties and the phase structure do not show drastically difference…

High Energy Physics - Phenomenology · Physics 2015-01-05 T. Inagaki , D. Kimura , H. Kohyama

In this review paper, I present a study of the structure of the hadrons computed in the covariant Nambu-Jona-Lasinio model as the chiral effective quark theory of QCD. I describe how the NJL model is treated to imitate the spontaneous…

High Energy Physics - Phenomenology · Physics 2026-04-14 Parada T. P. Hutauruk

Within the Nambu--Jona--Lasinio model strange degrees of freedom are incorporated into the soliton picture using the collective approach of Yabu and Ando. The form factors of the nucleon associated with the nonet vector current are…

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

The self-consistent chiral soliton of the Nambu--Jona-Lasinio model including the $\omega,\rho$ and $a_1$ (axial-) vector meson fields besides the chiral angle is investigated. The resulting energy spectrum of the one particle Dirac…

High Energy Physics - Phenomenology · Physics 2008-11-26 U. Zückert , R. Alkofer , H. Reinhardt , H. Weigel

We summarize our recent results for the quark loop part of the light-by-light scattering contribution as well as the hadronic vacuum polarisation contributions to the anomalous magnetic moment of the muon. In particular we focus on the role…

High Energy Physics - Phenomenology · Physics 2013-02-22 Tobias Goecke , Christian S. Fischer , Richard Williams

The Nambu--Jona-Lasinio model is widely used to study strong-interaction phenomena in vacuum and quark matter. Since the model is nonrenormalizable, one needs to work within a specific regularization scheme to obtain finite results. Here we…

High Energy Physics - Phenomenology · Physics 2023-06-13 Arthur E. B. Pasqualotto , Ricardo L. S. Farias , William R. Tavares , Sidney S. Avancini , Gastão Krein

Theories with generalised conformal structure contain a dimensionful parameter, which appears as an overall multiplicative factor in the action. Examples of such theories are gauge theories coupled to massless scalars and fermions with…

High Energy Physics - Theory · Physics 2021-03-17 Claudio Corianò , Luigi Delle Rose , Kostas Skenderis

The functional integration over the auxiliary bosonic variables of cubic order related with the effective action of the Nambu -- Jona-Lasinio model with 't Hooft term has recently been obtained in the form of a loop expansion. Even numbers…

High Energy Physics - Phenomenology · Physics 2009-01-07 Alexander A. Osipov , Brigitte Hiller , Joao Moreira , Alex H. Blin

We study all three-point functions of normalized chiral operators in D=4, $\mathcal{N}=4$, U(N) supersymmetric Yang-Mills theory in the large $N$ limit. We compute them for small 't Hooft coupling $\lambda=g_{YM}^2N<<1$ using free field…

High Energy Physics - Theory · Physics 2017-09-07 Sangmin Lee , Shiraz Minwalla , Mukund Rangamani , Nathan Seiberg

The Nambu--Jona-Lasinio model (NJL) is extended to incorporate heavy quark spin-symmetry. In this model baryons containing one heavy quark are analyzed as bound-states of light baryons, represented as chiral solitons, and mesons containing…

High Energy Physics - Phenomenology · Physics 2016-08-15 L. Gamberg , H. Weigel , U. Zückert , H. Reinhardt

We investigate the restoration of chiral SU$(3)\otimes$SU$(3)$ and axial U$_A$(1) symmetries, at finite temperature and density, in the framework of the three flavor Nambu-Jona-Lasinio model with anomaly. We implement a temperature…

High Energy Physics - Phenomenology · Physics 2022-09-21 M. C. Ruivo , Pedro Costa , C. A. de Sousa , Yu. L. Kalinovsky

The method of differential regularization is applied to calculate explicitly the one-loop effective potential of a bosonized Nambu--Jona-Lasinio model consisting of scalar and pseudoscalar fields. The regularization scheme independent…

High Energy Physics - Theory · Physics 2016-09-06 Yaw-Hwang Chen , Su-Long Nyeo

We compute non-extremal three-point functions of scalar operators in $\mathcal{N}=4$ super Yang-Mills at tree-level in $g_{YM}$ and at finite $N_c$, using the operator basis of the restricted Schur characters. We make use of the…

High Energy Physics - Theory · Physics 2020-06-24 Ryo Suzuki

Nambu-Jona-Lasinio model used to investigate low energy phenomena is nonrenormalizable, therefore the results depend on the regularization parameter in general. A possibility of the finite in four-dimensional limit and even the…

High Energy Physics - Phenomenology · Physics 2015-06-15 T. Inagaki , D. Kimura , H. Kohyama , A. Kvinikhidze

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

We explore the effects of breaking and restoration of chiral and axial symmetries using an extended three-flavor Nambu-Jona-Lasinio model that incorporates explicitly the axial anomaly through the 't Hooft interaction. We implement a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , C. A. de Sousa , Yu. L. Kalinovsky

Chiral symmetry is known to be decisive for an understanding of the low energy sector of strong interactions. It is thus important for a model of relativistic heavy ion collisions to incorporate the dynamical breaking and restoration of…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Rehberg

We present the formalism for computing the critical exponent corresponding to the $\beta$-function of the Nambu--Jona-Lasinio model with $SU(M)$ $\times$ $SU(M)$ continuous chiral symmetry at $O(1/N^2)$ in a large $N$ expansion, where $N$…

High Energy Physics - Theory · Physics 2009-10-22 J. A. Gracey

Scalar meson contributions in chiral quark condensate are calculated for analytically regularized Nambu -- Jona-Lasinio model in framework of mean-field expansion in bilocal-source formalism. Sigma-meson contribution for physical values of…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. G. Jafarov , V. E. Rochev