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We give another reformulation of the Thirring model (with four-fermion interaction of the current-current type) as a gauge theory and identify it with a gauge-fixed version of the corresponding gauge theory according to the Batalin-Fradkin…

High Energy Physics - Theory · Physics 2009-10-28 Kei-Ichi Kondo

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

The Thirring model, that is, a relativistic field theory of fermions with a contact interaction between vector currents, is studied for dimensionalities 2<d<4 using the 1/N_f expansion, where N_f is the number of fermion species. The model…

High Energy Physics - Theory · Physics 2009-10-28 Simon Hands

We extend the fixed-charge semiclassical method by computing anomalous dimensions of fixed-charge scalar operators in models with Yukawa interactions. In particular, we discuss the Nambu-Jona-Lasinio-Yukawa theory as well as an…

High Energy Physics - Theory · Physics 2022-11-23 Oleg Antipin , Jahmall Bersini , Pantelis Panopoulos

We propose a four-neutrino model which can reconcile the existing data coming from underground experiments in terms of neutrino oscillations, together with the hint from the LSND experiment and a possible neutrino contribution to the hot…

High Energy Physics - Phenomenology · Physics 2009-09-17 A. Ioannisian , J. W. F. Valle

We evaluate the $2$nd to $4$th order baryon, charge and strangeness susceptibilities near a chiral critical point using the Nambu--Jona--Lasinio model under different temperature and baryon chemical potential. Baryon number susceptibilities…

High Energy Physics - Phenomenology · Physics 2016-12-21 Wenkai Fan , Xiaofeng Luo , Hong-Shi Zong

We study the critical properties of the QED$_3$-Gross-Neveu model with $2N$ flavors of two-component Dirac fermions coupled to a massless scalar field and a U(1) gauge field. For $N=1$, this theory has recently been suggested to be dual to…

Strongly Correlated Electrons · Physics 2017-11-10 Lukas Janssen , Yin-Chen He

We discuss the critical properties of the three-dimensional NJL model at nonzero temperature. We show that the Z(2)-symmetric model undergoes a second order phase transition with 2d Ising exponents and its critical region is suppressed by a…

High Energy Physics - Phenomenology · Physics 2017-08-23 Costas G. Strouthos

A new nonperturbative approach is used to investigate the Gross-Neveu model of four fermion interaction in the space-time dimensions 2, 3 and 4, the number $N$ of inner degrees of freedom being a fixed integer. The spontaneous symmetry…

High Energy Physics - Theory · Physics 2009-10-30 V. E. Rochev , P. A. Saponov

We study the features of low energy strong interactions for a system at zero temperature and finite baryon and isospin chemical potentials, in the framework of a Nambu--Jona-Lasinio-like model that includes nonlocal four-point interactions.…

High Energy Physics - Phenomenology · Physics 2024-02-22 J. P. Carlomagno , D. Gomez Dumm , N. N. Scoccola

Dynamical symmetry breaking is investigated for a four-fermion Nambu-Jona-Lasinio model in external electromagnetic and gravitational fields. An effective potential is calculated in the leading order of the large-N expansion using the…

High Energy Physics - Theory · Physics 2009-10-31 E. Elizalde , Yu. I. Shil'nov

The properties of magnetized color superconducting cold dense quark matter under compact star conditions are investigated using a $SU(2)_f$ Nambu Jona-Lasinio (NJL)-type model in which the divergences are treated using a magnetic field…

High Energy Physics - Phenomenology · Physics 2019-08-29 M. Coppola , P. Allen , A. G. Grunfeld , N. N. Scoccola

Coupling constants at high energy scales are studied in SU(N) gauge theory with distinct sizes of extra dimensions. We present the solution of gauge couplings as functions of the energy in such a way as to track the number of Kaluza-Klein…

High Energy Physics - Theory · Physics 2008-11-26 Nobuhiro Uekusa

We investigate color superconducting phase at high density in the extended Nambu--Jona-Lasinio model for the two flavor quarks. Because of the non-renormalizability of the model, physical observables may depend on the regularization…

High Energy Physics - Phenomenology · Physics 2010-04-21 T. Fujihara , D. Kimura , T. Inagaki , A. Kvinikhidze

The contributions of non-standard four-neutrino contact interactions to electroweak observables are considered at the one-loop level by using the effective quantum field theory. The analysis is done in terms of three unknown parameters: the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Mikhail Bilenky , Arcadi Santamaria

The critical properties of the QED$_{3}$ Gross-Neveu-Yukawa (GNY) model in 2+1 dimensions with $N$ flavors of two-component Dirac fermions are computed to first order in the $1/N$ expansion. For the specific case of $N=2$, the critical…

Strongly Correlated Electrons · Physics 2019-05-27 Rufus Boyack , Ahmed Rayyan , Joseph Maciejko

Gauge theories with matter often have critical regions in their parameter space where gapless degrees of freedom emerge. Using controlled semiclassical calculations, we explore such critical regions in $SU(N)$ gauge theories with a…

High Energy Physics - Theory · Physics 2017-11-30 Aleksey Cherman , Mithat Unsal

We analyze $(2+1)$-dimensional vector-vector type four-Fermi interaction (Thirring) model in the framework of the $1/N$ expansion. By solving the Dyson-Schwinger equation in the large-$N$ limit, we show that in the two-component formalism…

High Energy Physics - Theory · Physics 2009-10-22 D. K. Hong , S. H. Park

We present the first numerical study of the ultraviolet dynamics of non-asymptotically free gauge-fermion theories at large number of matter fields. As testbed theories we consider non-abelian SU(2) gauge theories with 24 and 48 Dirac…

High Energy Physics - Lattice · Physics 2020-04-15 Viljami Leino , Tobias Rindlisbacher , Kari Rummukainen , Francesco Sannino , Kimmo Tuominen

We present an $A_4$ flavor extended $\rm B-L$ model for realization of eV scale sterile neutrinos, motivated by the recent experimental hints from both particle physics and cosmology. The framework considered here is a gauged $\rm B-L$…

High Energy Physics - Phenomenology · Physics 2020-06-24 Subhasmita Mishra , Mitesh Kumar Behera , Rukmani Mohanta , Sudhanwa Patra , Shivaramakrishna Singirala