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The Nambu-Jona-Lasinio and Sakai-Sugimoto models are juxtaposed, focusing on the models' dynamically generated masses and the phase diagrams. The models are studied in the parameter space of temperature, constant electromagnetic fields and…

High Energy Physics - Theory · Physics 2009-09-09 Daiske Yamada

Recently various phenomenological implications of the existence of extra space-time dimensions have been investigated. In this letter, we construct a model with realistic fermion mass hierarchy with (large) extra dimensions beyond the usual…

High Energy Physics - Phenomenology · Physics 2009-10-31 Koichi Yoshioka

Results are presented from a Monte Carlo simulation of the Nambu -- Jona-Lasinio model with SU(2)xSU(2) chiral symmetry and N_f=2 flavors of fermion. We show that fits to the equation of state are sensitive to the shape and extent of the…

High Energy Physics - Lattice · Physics 2009-10-30 Simon Hands

A possibility of formation of static dual scalar and pseudoscalar density wave condensates in dense quark matter is considered for the Nambu--Jona-Lasinio model in an external magnetic field. Within a mean-field approximation, the effective…

High Energy Physics - Phenomenology · Physics 2014-11-21 I. E. Frolov , V. Ch. Zhukovsky , K. G. Klimenko

The Nambu-Jona-Lasinio model of the deuteron suggested by Nambu and Jona-Lasinio (Phys. Rev. 124 (1961) 246) is formulated from the first principles of QCD. The deuteron appears as a neutron-proton collective excitation, i.e. a Cooper…

Nuclear Theory · Physics 2008-11-26 A. N. Ivanov , H. Oberhummer , N. I. Troitskaya , M. Faber

Topological phases of matter remain a focus of interest due to their unique properties -- fractionalisation, ground state degeneracy, and exotic excitations. While some of these properties can occur in systems of free fermions, their…

Strongly Correlated Electrons · Physics 2018-03-06 Konstantinos Meichanetzidis , Christopher J. Turner , Ashk Farjami , Zlatko Papić , Jiannis K. Pachos

Using the Nambu-Jona-Lasinio model to describe the nucleon as a quark-diquark state, we discuss the stability of nuclear matter in a hybrid model for the ground state at finite nucleon density. It is shown that a simple extension of the…

Nuclear Theory · Physics 2010-02-17 W. Bentz , A. W. Thomas

It is shown that in $3+1$ dimensions, a constant magnetic field is a catalyst of dynamical chiral symmetry breaking, leading to generating a fermion mass even at the weakest attractive interaction between fermions. The essence of this…

High Energy Physics - Phenomenology · Physics 2019-08-15 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

In an effort to investigate some of the low energy properties of QCD, in particular those related to chiral symmetry breaking, as well as to obtain insights on the behavior of an interacting theory of fermions on the lattice, the two flavor…

High Energy Physics - Lattice · Physics 2011-07-19 K. M. Bitar , P. M. Vranas

Using the Nambu--Jona-Lasinio (NJL) model we study chemical potential response of the pion and kaon masses as a function of temperature and chemical potential, i.e., dm/d\mu (T, \mu). First, we obtain the responses assuming the vector-axial…

High Energy Physics - Lattice · Physics 2007-05-23 O. Miyamura , S. Choe

The demixing of two-component fermions in optical lattices under a spin-dependent external potential is investigated using the density-matrix renormalization group method. The influence of on-site interactions (u) and the ratio of the…

Strongly Correlated Electrons · Physics 2013-09-23 A-Hai Chen , Gao Xianlong

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

The magnetic catalysis of discrete chiral symmetry breaking in the 2+1 dimensional Nambu-Jona-Lasinio model is analyzed. A particular attention is paid to a possible application of the effect in solid state physics. The fermion contribution…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. W. Semenoff , I. A. Shovkovy , L. C. R. Wijewardhana

The phase structure of a four- and eight-fermion interaction model is investigated at finite temperature and chemical potential in arbitrary space-time dimensions, $2\leq D<4$. The effective potential and the gap equation are calculated in…

High Energy Physics - Phenomenology · Physics 2011-03-14 Masako Hayashi , Tomohiro Inagaki , Wataru Sakamoto

The dynamical fermion mass generation in the 4-dimensional brane is discussed in a model with 5-dimensional Kaluza-Klein fermions in interaction with 4-dimensional fermions. It is found that the dynamical fermion masses are generated beyond…

High Energy Physics - Phenomenology · Physics 2010-11-19 Hiroyuki Abe , Hironori Miguchi , Taizo Muta

The formation of scalar condensates and dynamical symmetry breaking in the U(n) four-fermion models (for n=2,3) with two coupling constants has been studied by the functional integration method. The bosonization procedures of the models…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. I. Kruglov

Some features of hot and dense gas of quarks which are considered as the quasi-particles of the model Hamiltonian with four-fermion interaction are studied. Being adapted to the Nambu-Jona-Lasinio model this approach allows us to…

High Energy Physics - Phenomenology · Physics 2011-06-22 S. V. Molodtsov , G. M. Zinovjev

Based on the Cornwall-Jackiw-Tomboulis effective potential, we extensively study nonperturbative renormalization of the gauged Nambu-Jona-Lasinio model in the ladder approximation with standing gauge coupling. Although the pure…

High Energy Physics - Phenomenology · Physics 2017-02-01 Kei-ichi Kondo , Masaharu Tanabashi , Koichi Yamawaki

We study lattice formulations of the two-dimensional N=2 Wess-Zumino model with a cubic superpotential. Discretizations with and without lattice supersymmetries are compared. We observe that the "Nicolai improvement" introduces new problems…

High Energy Physics - Lattice · Physics 2010-01-21 Christian Wozar , Georg Bergner , Tobias Kaestner , Sebastian Uhlmann , Andreas Wipf

We examine the problem of generation mixing in realistic superstring derived standard--like models, constructed in the free fermionic formulation. We study the possible sources of family mixing in these models . In a specific model we…

High Energy Physics - Phenomenology · Physics 2009-10-22 Alon E. Faraggi , Edi Halyo