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Low and high energy properties of the pion are reviewed in the framework of chiral quark models. Particular emphasis is put on the simplest version of the SU(2) NJL model as prototype. The role of gauge invariance in this kind of…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Ruiz Arriola

We present a derivation of the low-energy effective meson Lagrangian of the extended Nambu -- Jona-Lasinio (ENJL) model. The case with linear realization of broken $SU(2)\times SU(2)$ chiral symmetry is considered. There are two crucial…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alexander A. Osipov , Brigitte Hiller

The NJL-jet model provides a framework for calculating fragmentation functions without introducing ad hoc parameters. Here the NJL-jet model is extended to investigate dihadron fragmentation functions.

High Energy Physics - Phenomenology · Physics 2015-03-19 A. Casey , A. W. Thomas , H. H. Matevosyan

The formalism of Riemannian geometry is applied to study the phase transitions in Nambu -Jona Lasinio (NJL) model. Thermodynamic geometry reliably describes the phase diagram, both in the chiral limit and for finite quark masses. The…

Nuclear Theory · Physics 2020-12-16 P. Castorina , D. Lanteri , S. Mancani

We use the transverse-momentum dependence of the cross section for diffractive dissociation of high energy pions to two jets to study some non-perturbative Light-Cone wave functions of the pion. We compare the predictions for this…

High Energy Physics - Phenomenology · Physics 2011-09-13 Daniel Ashery , H. C. Pauli

Traditional cutoff regularization schemes of the Nambu--Jona-Lasinio model limit the applicability of the model to energy-momentum scales much below the value of the regularizing cutoff. In particular, the model cannot be used to study…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. L. S. Farias , G. Dallabona , G. Krein , O. A. Battistel

In the present paper we implement a non-trivial and renormalizable extension of the NJL model. We discuss the advantages and shortcomings of this extended model compared to a usual effective Pauli-Villars regularized version. We show that…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andre L. Mota , M. Carolina Nemes , Brigitte Hiller , Hans Walliser

Two variants of the Nambu--Jona-Lasinio model -- the model with 4-dimensional cutoff and the model with dimensionally-analytical regularization -- are systematically compared. It is shown that they are, in essence, two different models of…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. G. Jafarov , V. E. Rochev

A U_L(3) \otimes U_R(3) low-energy effective lagrangian for the nonet of pseudogoldstone bosons that appear in the large-Nc limit of QCD is presented including terms up to four derivatives and explicit symmetry breaking terms up to…

High Energy Physics - Phenomenology · Physics 2009-10-30 P. Herrera-Siklódy , J. I. Latorre , P. Pascual , J. Taron

We present a derivation of the low energy effective action of an extended Nambu Jona-Lasinio (ENJL) model to $O(p^4)$ in the chiral counting. Two alternative scenarios are considered on how the ENJL model could originate as a low energy…

High Energy Physics - Phenomenology · Physics 2011-07-19 Johan Bijnens , Christophe Bruno , Eduardo de Rafael

We use Monte Carlo simulation to probe the phase structure of a SU(2) gauge theory containing $N_f$ Dirac fermion flavors transforming in the fundamental representation of the group and interacting through an additional four fermion term.…

High Energy Physics - Lattice · Physics 2013-05-30 Simon Catterall , Richard Galvez , Jay Hubisz , Dhagash Mehta , Aarti Veernala

We propose a new approach to describe baryonic structure in terms of an effective chiral Lagrangian. The state vector of a baryon is defined on the light front of general position \omega . x=0, where \omega is an arbitrary light-like four…

High Energy Physics - Phenomenology · Physics 2009-07-16 J. -F. Mathiot

We present calculations of structure functions using a renormalization scheme consistent expansion which is leading order in both ln(1/x) and \alpha_s(Q^2). There is no factorization scheme dependence, and the ``physical anomalous…

High Energy Physics - Phenomenology · Physics 2009-10-28 Robert S. Thorne

We study Higgs condensation in the top-mode standard model at the next-to-leading (NTL) order in 1/Nc, by calculating the effective potential as a function of a hard mass term of the top quark. We include the effects of the top and bottom…

High Energy Physics - Phenomenology · Physics 2011-01-13 G. Cvetic

We use a holographic description of technicolor dynamics to study gauge theories that only break chiral symmetry when aided by a strong four fermion interaction. These Nambu-Jona-Lasinio (NJL) assisted technicolor models provide examples of…

High Energy Physics - Phenomenology · Physics 2020-04-15 Alexander Belyaev , Kazem Bitaghsir Fadafan , Nick Evans , Mansoureh Gholamzadeh

We consider the $N$-components 3-dimensional massive Gross-Neveu model compactified in one spatial direction, the system being constrained to a slab of thickness $L$. We derive a closed formula for the renormalized $L$-dependent four-point…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana , J. C. da Silva

The structure of hadrons is described well by the Nambu--Jona-Lasinio (NJL) model, which is a chiral effective quark theory of QCD. In this work we explore the electromagnetic structure of the pion and kaon using the three-flavor NJL model,…

Nuclear Theory · Physics 2015-03-05 Y. Ninomiya , W. Bentz , I. C. Cloët

This work investigates the phase structure of the non-renormalizable (3+1)-dimensional Nambu-Jona-Lasinio (NJL) model with particular focus on inhomogeneous phases (IPs), where the chiral condensate is non-uniform in space, and the closely…

High Energy Physics - Phenomenology · Physics 2024-10-28 Laurin Pannullo , Marc Wagner , Marc Winstel

In previous works effective non-local $SU(2)\times SU(2)$ NJL model was derived in the framework of the fundamental QCD. All the parameters of the model are expressed through QCD parameters: current light quark mass $m_0$ and average…

High Energy Physics - Phenomenology · Physics 2010-12-02 Boris A. Arbuzov , Mikhail K. Volkov , Ivan V. Zaitsev

The behavior of kaons and pions in hot non strange quark matter, simulating neutron matter, is investigated within the SU(3) Nambu-Jona-Lasinio [NJL] and in the Enlarged Nambu-Jona-Lasinio [ENJL] (including vector pseudo-vector interaction)…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. C. Ruivo , P. F. Costa , C. A. Sousa