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We introduce a two flavor Nambu--Jona-Lasinio (NJL) model with 8-quark interactions in the scalar and the vector channel. With the lower density region described by the density-dependent relativistic mean field model we construct a hybrid…

Nuclear Theory · Physics 2015-04-01 Sanjin Benić

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…

High Energy Physics - Theory · Physics 2015-05-14 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

We study a Nambu-Jona-Lasinio (NJL) type model with two-flavor quark matter in $\beta$-equilibrium. It turns out that the system develops instabilities in the dispersion relations of the diquark fields, i.e., the velocity squared $v^2$…

High Energy Physics - Phenomenology · Physics 2009-11-11 Michio Hashimoto

It is shown that the strange quark mass undergoes a first order transition in a generalized 3 flavor Nambu--Jona-Lasinio (NJL) Lagrangian which includes a complete set of explicit chiral symmetry breaking interactions. This transition…

High Energy Physics - Phenomenology · Physics 2014-11-13 J. Morais , J. Moreira , B. Hiller , A. H. Blin , A. A. Osipov

We consider the dynamics of gauge-Yukawa theories in the presence of a large number of matter constituents. We first review the current status for the renormalization group equations of gauge-fermion theories featuring also semi-simple…

High Energy Physics - Phenomenology · Physics 2018-07-18 Oleg Antipin , Nicola Andrea Dondi , Francesco Sannino , Anders Eller Thomsen , Zhi-Wei Wang

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 consider the 3-d Gross-Neveu model in the broken phase and construct a stable brane world by means of a domain wall and an anti-wall. Fermions of opposite chirality are localized on the walls and coupled through the 3-d bulk. At large…

High Energy Physics - Lattice · Physics 2009-11-10 W. Bietenholz , A. Gfeller , U. -J. Wiese

The infrared dynamics in the (3+1)-dimensional supersymmetric and non-supersymmetric Nambu-Jona-Lasinio model in a constant magnetic field is studied. While at strong coupling the dynamics in these two models is essentially different, it is…

High Energy Physics - Theory · Physics 2009-10-30 V. Elias , D. G. C. McKeon , V. A. Miransky , I. A. Shovkovy

We report on Monte Carlo simulations focused on elucidating 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…

High Energy Physics - Lattice · Physics 2012-11-16 Simon Catterall , Aarti Veernala

We study a lattice model comprising four massless reduced staggered fermions in four dimensions coupled through an $SU(4)$-invariant four-fermion interaction. We present both theoretical arguments and numerical evidence that no bilinear…

High Energy Physics - Lattice · Physics 2017-08-16 Simon Catterall , David Schaich

We employ the conformal bootstrap to re-examine the problem of finding the critical behavior of four-Fermion theory at its strong coupling fixed point. Existence of a solution of the bootstrap equations indicates self-consistency of the…

High Energy Physics - Theory · Physics 2009-10-22 Wei Chen , Yuri Makeenko , Gordon W Semenoff

We study the universal critical properties of the QED$_3$-Gross-Neveu-Yukawa model with $N$ flavors of four-component Dirac fermions coupled to a real scalar order parameter at four-loop order in the $\epsilon$ expansion below four…

Strongly Correlated Electrons · Physics 2018-10-17 Nikolai Zerf , Peter Marquard , Rufus Boyack , Joseph Maciejko

The transformation of the free-energy landscape from smooth to hierarchical is one of the richest features of mean-field disordered systems. A well-studied example is the de Almeida-Thouless transition for spin glasses in a magnetic field,…

Statistical Mechanics · Physics 2017-05-31 Patrick Charbonneau , Sho Yaida

In pursuit of the sketching the effective magnetized QCD phase diagram, we found conditions on the critical coupling for chiral symmetry breaking in the Nambu-Jona-Lasinio model in a nontrivial thermo-magnetic environment. Critical values…

High Energy Physics - Theory · Physics 2018-08-15 Angelo Martínez , Alfredo Raya

Contactlike nonstandard effective interactions can be revealed through deviations of observables from the Standard Model predictions. If such deviations were observed, the relevant source should be identified among the possible models that…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. A. Pankov , N. Paver , A. V. Tsytrinov

Recently, it has been shown that the standard Nambu-Jona-Lasinio (NJL) model is not able to reproduce the correct QCD behavior of the gap equation at large density, and therefore a different cutoff procedure at large momenta has ben…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Baldo , G. F. Burgio , P. Castorina , S. Plumari , D. Zappalá

In this work we study the critical behavior and momentum dependence of chirality-flipping fermion 4-point functions in non-abelian gauge theories. Our formalism is based on the Schwinger-Dyson system of equations. Considering the large-N…

High Energy Physics - Phenomenology · Physics 2011-09-22 G. Triantaphyllou

We consider massive $SU(N)$ gauge theory with fermions. Gauge bosons become massive due to the interaction with the scalar field, whose vacuum average provides the spontaneous breakdown of gauge symmetry. We investigate Dyson - Schwinger…

High Energy Physics - Phenomenology · Physics 2015-01-06 M. A. Zubkov

We study the solutions of the gap equation, the thermodynamic potential and the chiral susceptibility in and beyond the chiral limit at finite chemical potential in the Nambu--Jona-Lasinio (NJL) model. We give an explicit relation between…

High Energy Physics - Phenomenology · Physics 2017-01-11 Yue Zhao , Lei Chang , Wei Yuan , Yu-xin Liu

Two-dimensional van-der-Waals materials offer a highly tunable platform for engineering electronic band structures and interactions. By employing techniques such as twisting, gating, or applying pressure, these systems enable precise…

Strongly Correlated Electrons · Physics 2025-06-04 Bilal Hawashin , Michael M. Scherer , Lukas Janssen
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