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A generalization to any dimension of the fermion field transformation which allows to derive the solution of the massless Schwinger model in the path integral framework is identified. New arguments based on this transformation for a…

高能物理 - 唯象学 · 物理学 2009-10-30 José Luis Cortés , Jorge Gamboa , Luis Velázquez

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…

高能物理 - 唯象学 · 物理学 2015-06-18 T. Inagaki , D. Kimura , H. Kohyama

The phase structure of the $d=3$ Nambu-Jona-Lasinio model in curved spacetime is considered to leading order in the $1/N$--expansion and in the linear curvature approximation. The possibility of a curvature-induced first-order phase…

高能物理 - 理论 · 物理学 2009-09-25 E. Elizalde , S. D. Odintsov , Yu. I. Shil'nov

We write down the anomalous dimensions of the fields of the Nambu--Jona-Lasinio model or chiral Gross Neveu model with a continuous global chiral symmetry for the two cases $U(1)$ $\times$ $U(1)$ and $SU(M)$ $\times$ $SU(M)$ at $O(1/N^2)$…

高能物理 - 理论 · 物理学 2009-10-22 J. A. Gracey

We study the size dependence of the dynamical symmetry breaking in the four-dimensional Nambu-Jona-Lasinio model. We show that the presence of boundaries reduces the chiral breaking region, and this effect is strengthened for a larger…

高能物理 - 理论 · 物理学 2015-05-14 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

A novel strategy to handle divergences typical of perturbative calculations is implemented for the Nambu--Jona-Lasinio model and its phenomenological consequences investigated. The central idea of the method is to avoid the critical step…

高能物理 - 理论 · 物理学 2008-11-26 O. A. Battistel , G. Dallabona , G. Krein

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…

高能物理 - 唯象学 · 物理学 2017-09-05 Yu. S. Kalashnikova , A. V. Nefediev , J. E. F. T. Ribeiro

Due to the presence of light pions in the theory, lattice QCD at finite densities suffers from issues with noise in both grand canonical and canonical formulations. We study two different formulations of the Nambu-Jona-Lasinio model reduced…

高能物理 - 格点 · 物理学 2015-06-11 Amy N. Nicholson , Dorota Grabowska , David B. Kaplan

Chiral phase properties of finite size hadronic systems are investigated within the Nambu--Jona-Lasinio model. Finite size effects are taken into account by making use of the multiple reflection expansion. We find that, for droplets with…

高能物理 - 唯象学 · 物理学 2009-11-07 O. Kiriyama , A. Hosaka

We study a particular class of Abelian gauged Nambu-Jona-Lasinio models with global U_L(N)xU_R(N) symmetry, where N is the number of fermion flavors. We show, by treating the gauge interaction in the ladder approximation and four-fermion…

高能物理 - 理论 · 物理学 2009-10-31 Manuel Reenders

Using very precise measurements of the critical couplings for the chiral transition of non compact $QED_4$ with up to 8 flavours, we analyse the behaviour of the order parameter at the critical point using the equation of state of a…

高能物理 - 格点 · 物理学 2009-10-28 V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo , V. Laliena , C. E. Piedrafita

We analyze the vacuum structure of a generalized lattice Nambu--Jona-Lasinio model with two flavors of Wilson fermions, such that its continuum action is the most general four-fermion action with 'trivial' color interactions, and having a…

高能物理 - 格点 · 物理学 2013-09-27 V. Azcoiti , G. Di Carlo , E. Follana , M. Giordano , A. Vaquero

The Nambu-Jona-Lasinio model reduced to 2+1 dimensions has two different path integral formulations: at finite chemical potential one formulation has a severe sign problem similar to that found in QCD, while the other does not. At large N,…

高能物理 - 格点 · 物理学 2013-01-25 Dorota Grabowska , David B. Kaplan , Amy N. Nicholson

We study the finite-size corrections of the dimer model on $\infty \times N$ square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections in a crucial way depend on the parity of $N$; we…

统计力学 · 物理学 2009-11-11 N. Sh. Izmailian , V. B. Priezzhev , Philippe Ruelle , Chin-Kun Hu

We evaluate the next-to-leading order correction to the Nambu-Jona-Lasinio model starting from quantum chromodynamics. We show that a systematic expansion exists, starting from a given set of exact classical solutions, so that higher order…

高能物理 - 唯象学 · 物理学 2016-11-24 Marco Frasca

We investigate phase structure of the D (> 4)-dimensional gauged Nambu-Jona-Lasinio (NJL) model with $\delta(=D-4)$ extra dimensions compactified on TeV scale, based on the improved ladder Schwinger-Dyson (SD) equation in the bulk. We…

高能物理 - 唯象学 · 物理学 2009-11-10 Valery P. Gusynin , Michio Hashimoto , Masaharu Tanabashi , Koichi Yamawaki

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…

高能物理 - 唯象学 · 物理学 2009-10-28 E. Nikolov , W. Broniowski , C. V. Christov , G. Ripka , K. Goeke

The predictive power of the NJL model is considered in the light of a novel strategy to handle the divergences typical of perturbative calculations. The referred calculational strategy eliminates unphysical dependencies on the arbitrary…

高能物理 - 唯象学 · 物理学 2015-06-17 O. A. Battistel , G. Dallabona

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…

高能物理 - 理论 · 物理学 2016-09-06 Yaw-Hwang Chen , Su-Long Nyeo

We present a lattice study of a Nambu Jona-Lasinio (NJL) model using Wilson fermions. Four fermion interactions are a natural part of several extensions of the Standard Model, appearing as a low energy description of a more fundamental…

高能物理 - 格点 · 物理学 2017-02-08 Jarno Rantaharju , Vincent Drach , Claudio Pica , Francesco Sannino