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We study a three-component fermionic fluid in an optical lattice in a regime of intermediate-to- strong interactions allowing for Raman processes connecting the different components, similar to those used to create artificial gauge fields…

Quantum Gases · Physics 2019-01-02 Lorenzo Del Re , Massimo Capone

A variational formulation for the calculation of interacting fermion systems based on the density-matrix functional theory is presented. Our formalism provides for a natural integration of explicit many-particle effects into standard…

Strongly Correlated Electrons · Physics 2013-05-29 Peter E. Bloechl , Christian F. J. Walther , Thomas Pruschke

We study the dynamical generation of masses for fundamental fermions in quenched quantum electrodynamics, in the presence of magnetic fields of arbitrary strength, by solving the Schwinger-Dyson equation (SDE) for the fermion self-energy in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eduardo Rojas , Alejandro Ayala , Adnan Bashir , Alfredo Raya

We discuss a simulation algorithm for dynamical fermions, which combines the multiboson technique with the Hybrid Monte Carlo algorithm. The algorithm turns out to give a substantial gain over standard methods in practical simulations and…

High Energy Physics - Lattice · Physics 2009-10-30 Roberto Frezzotti , Karl Jansen

We present a fermionic description of non-equilibrium multi-level systems. Our approach uses the Keldysh path integral formalism and allows us to take into account periodic drives, as well as dissipative channels. The technique is based on…

A system of two species of fermions of different mass confined in a one-dimensional harmonic trap is studied with an exact diagonalization approach. It is shown independently on the number of particles that a mass difference between…

Quantum Gases · Physics 2016-01-13 Daniel Pęcak , Mariusz Gajda , Tomasz Sowiński

Argument generation is a challenging task in natural language processing, which requires rigorous reasoning and proper content organization. Inspired by recent chain-of-thought prompting that breaks down a complex task into intermediate…

Computation and Language · Computer Science 2024-09-04 Zhe Hu , Hou Pong Chan , Yu Yin

In order to check the validity of auxiliary field method in the Nambu--Jona-Lasinio model, the one-loop (=quantum) effects of auxiliary fields to the gap equation are considered with N-component fermion models in 4 and 3 dimensions. N is…

High Energy Physics - Theory · Physics 2009-11-10 Taro Kashiwa , Tomohiko Sakaguchi

The Nambu-Jona-Lasinio model is the special case of the renormalized Yukawa model with the compositeness condition. We use it to calculate the effective coupling constants in terms of the compositeness sale (momentum cut off) at the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Keiichi Akama

We introduce effective form factors for one-dimensional lattice fermions with arbitrary phase shifts. We study tau functions defined as series of these form factors. On the one hand we perform the exact summation and present tau functions…

Statistical Mechanics · Physics 2021-03-24 O. Gamayun , N. Iorgov , Yu. Zhuravlev

The chiral phase transition induced by a charged scalar field is investigated numerically in a lattice fermion-gauge-scalar model with U(1) gauge symmetry, proposed recently as a model for dynamical fermion mass generation. For very strong…

High Energy Physics - Lattice · Physics 2009-10-28 W. Franzki , C. Frick , J. Jersak , X. Q. Luo

A system of fermions with short-range interactions at finite density is studied using the framework of effective field theory. The effective action formalism for fermions with auxiliary fields leads to a loop expansion in which…

Nuclear Theory · Physics 2009-11-07 R. J. Furnstahl , H. -W. Hammer

We propose a method to evaluate hadronic matrix elements of QCD gluon operators in the instanton vacuum. We construct the ground state of the interacting instanton ensemble for non-zero $\vartheta$--angle using a variational principle. A…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. I. Diakonov , M. V. Polyakov , C. Weiss

Two flavor Nambu-Jona-Lasinio model with N components is studied in curved space time at finite temperature and density in the leading 1/N expansion. In four space time dimension the model exhibits first order phase transition for positive…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ashok Goyal , Meenu Dahiya

A dynamical coupled-channel model is presented for investigating the nucleon resonances in the meson production reactions induced by pions and photons. The model is based on an energy-independent Hamiltonian which is derived from a set of…

Nuclear Theory · Physics 2008-11-26 A. Matsuyama , T. Sato , T. -S. H. Lee

New mechanism of generating flavor mass spectrum is proposed by using an O'Raifeartaigh-type supersymmetry breaking model. A desired bilinear form of fermion mass spectrum is naturally realized through F-components of gauge-singlet (nonet…

High Energy Physics - Phenomenology · Physics 2009-01-06 Naoyuki Haba , Yoshio Koide

Using the full conformal bootstrap method an analytic expression is given in d-dimensions for the anomalous dimension of the fermion at O(1/N^3) in a large N expansion of the Nambu--Jona-Lasinio model with SU(2) x SU(2) continuous chiral…

High Energy Physics - Theory · Physics 2009-10-28 J. A. Gracey

We review the effect on vacuum properties and magnetic catalysis, of adding the most general 0-spin 8-quark (8q) interactions to the combined SU(3) flavor Nambu--Jona-Lasinio (NJL) and 6-quark (6q) 't Hooft interaction Lagrangian.

High Energy Physics - Phenomenology · Physics 2012-04-24 B. Hiller , A. A. Osipov , A. H. Blin , J. Providencia

We report a first case study of the phase diagram of 2+1 flavor strongly interacting matter in $\beta-$equilibrium, using the Polyakov$-$Nambu$-$Jona-Lasinio model. Physical characteristics of relevant thermodynamic observables have been…

High Energy Physics - Phenomenology · Physics 2015-05-30 Abhijit Bhattacharyya , Sanjay K. Ghosh , Sarbani Majumder , Rajarshi Ray

We propose a realistic model with Majorana neutrinos in the framework of unifying the three generations of fermions by point interactions in an extra dimension. This model can simultaneously explain the origin of fermion generations,…

High Energy Physics - Phenomenology · Physics 2016-02-15 Chengfeng Cai , Hong-Hao Zhang
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