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Related papers: Massive Meson Fluctuation in NJL Model

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A previous work establishing a connection between a quark model, with relativistic kinematics and a $Y$-confinement plus one gluon exchange, and the $1/N_c$ expansion mass formula is extended to strange baryons. Both methods predict values…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Semay , F. Buisseret , F. Stancu

The model of induced quark currents formulated in our recent paper (Phys. Rev. D51, 176) is developed. The model being a kind of nonlocal extension of the bosonization procedure is based on the hypothesis that the QCD vacuum is realized by…

High Energy Physics - Phenomenology · Physics 2011-07-19 Ja. V. Burdanov , G. V. Efimov , S. N. Nedelko , S. A. Solunin

A short review of the development of the Nambu-Jona-Lasinio (NJL) model is given. The SU(2)x SU(2) and U(3)x U(3) local quark NJL models are considered. The mechanisms of spontaneous breaking of chiral symmetry and vector dominance are…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. K. Volkov , A. E. Radzhabov

At large number of colors, N_c quarks in baryons are in a mean field of definite space and flavor symmetry. We write down the general Lorentz and flavor structure of the mean field, and derive the Dirac equation for quarks in that field.…

High Energy Physics - Phenomenology · Physics 2013-10-30 Dmitri Diakonov , Victor Petrov , Alexey A. Vladimirov

We formulate the expansion for the mass of the nucleon as a function of pion mass within chiral perturbation theory using a number of different ultra-violet regularisation schemes; including dimensional regularisation and various…

High Energy Physics - Lattice · Physics 2010-02-17 R. D. Young , D. B. Leinweber , A. W. Thomas

The S-wave $\pi - \pi$ scattering lengths $a_0$ and $a_2$ are calculated to the lowest order of $1/N_c$ expansion in the general framework of SU(2) NJL model beyond mean-field approximation. It is shown that using the universal curve of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Mei Huang , Pengfei Zhuang , Weiqin Chao

In this letter we reconsider the previously given description of heavy mesons within a bosonized extended NJL model that combines heavy quark and chiral symmetry. In that work the naive gradient expansion of the quark determinant was used,…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Ebert , T. Feldmann , R. Friedrich , H. Reinhardt

We show that the latest and very precise dispersive data analyses require a large and very unnat- ural fine-tuning of the 1/Nc expansion at Nc = 3 if the f_0(600) and K(800) light scalar mesons are to be considered predominantly…

High Energy Physics - Phenomenology · Physics 2015-05-28 J. Nebreda , J. R. Pelaez , G. Rios

The Large N expansion in gauge models with an NJL mechanism is discussed in view of the resulting fermionic mass matrix. A hidden symmetry model is introduced.

High Energy Physics - Phenomenology · Physics 2008-02-03 Ralf Bönisch

We investigate the critical scaling of the quark propagator of N_f=2 QCD close to the chiral phase transition at finite temperature. We argue that it is mandatory to take into account the back-reaction effects of pions and the sigma onto…

High Energy Physics - Phenomenology · Physics 2013-05-29 Christian S. Fischer , Jens A. Mueller

We summarize our results concerning the spectrum and mass anomalous dimension of SU(2) gauge theories with various numbers of fermions in the adjoint representation, where each Majorana fermion corresponds effectively to half a Dirac…

High Energy Physics - Lattice · Physics 2017-02-01 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

A local and gauge invariant alternative version of QCD for massive fermions introduced in previous works, is considered here to just propose a theory which includes Nambu-Jona-Lasinio (NJL) terms in its defining action in a renormalizable…

High Energy Physics - Theory · Physics 2015-06-09 Alejandro Cabo Montes de Oca

We formulate the covariant equations for quark-antiquark bound states in Minkowski space in the framework of the Covariant Spectator Theory. The quark propagators are dressed with the same kernel that describes the interaction between…

High Energy Physics - Phenomenology · Physics 2014-01-09 Elmar P. Biernat , Franz Gross , M. T. Peña , Alfred Stadler

The mass spectrum of $\pi^+$ and $\rho^+$ mesons in the presence of a static uniform magnetic field $\vec B$ is studied within a two-flavor NJL-like model. We improve previous calculations taking into account the effect of Schwinger phases…

High Energy Physics - Phenomenology · Physics 2022-12-07 J. P. Carlomagno , D. Gomez Dumm , M. F. Izzo Villafañe , S. Noguera , N. N. Scoccola

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

Using heavy-baryon chiral perturbation theory, we have calculated all the diagrams up to two-loop order which contribute to the S-wave pion self-energy in symmetric nuclear matter. Some subtleties related to the definition of pion fields…

Nuclear Theory · Physics 2008-11-26 Tae-Sun Park , Hong Jung , Dong-Pil Min

We consider the quark-meson-model in a finite three-dimensional volume using the Schwinger proper-time renormalization group. We derive and solve the flow equations for finite volume in local potential approximation. In order to break…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Braun , B. Klein , H. -J. Pirner

Broken chiral symmetry has become the basis for a unified treatment of hadronic interactions at low energies. After reviewing mechanisms for spontaneous chiral symmetry breaking, I outline the construction of the low--energy effective field…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gerhard Ecker

We present calculations of certain limits of scheme-independent series expansions for the anomalous dimensions of gauge-invariant fermion bilinear operators and for the derivative of the beta function at an infrared fixed point in SU($N_c$)…

High Energy Physics - Theory · Physics 2019-07-01 Sudhakantha Girmohanta , Thomas A. Ryttov , Robert Shrock

We present an update of the light meson spectrum with $N_f$=2+1 overlap fermions on a $16^3\times 48$ lattice at five different up and down quark masses and two strange quark masses. Based on our experience with the previous simulation with…

High Energy Physics - Lattice · Physics 2012-08-27 JLQCD , TWQCD Collaborations , : , J. Noaki , S. Aoki , T. W. Chiu , H. Fukaya , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , T. Onogi , E. Shintani , N. Yamada