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Using complex stochastic quantization, we implement a particle-number projection technique on the partition function of spin-1/2 fermions at finite temperature on the lattice. We discuss the method, its application towards obtaining the…

High Energy Physics - Lattice · Physics 2018-04-18 C. R. Shill , J. E. Drut

A complete thermodynamical analysis of the 2+1 dimensional massless Gross-Neveu model is performed using the optimized perturbation theory. This is a non-perturbative method that allows us to go beyond the known large-N results already at…

High Energy Physics - Theory · Physics 2008-11-26 Jean-Loic Kneur , Marcus Benghi Pinto , Rudnei O. Ramos , Ederson Staudt

The (2+1)-dimensional generalized massless Thirring model with 4-component Fermi-fields is investigated by the Hartree-Fock method. The Lagrangian of this model is constructed from two different four-fermion structures. One of them takes…

High Energy Physics - Theory · Physics 2022-10-19 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

Certain approximate solutions of the continuum Schwinger-Dyson Equations (SDEs) predict chiral symmetry breaking in the 3d Thirring model when the number of fermion flavors N_f<4.32 whereas others predict symmetry breaking for all N_f. Our…

High Energy Physics - Lattice · Physics 2008-11-26 Stavros Christofi , Simon Hands , Costas Strouthos

The Thirring model in 2+1 spacetime dimensions, in which $N$ flavors of relativistic fermion interact via a contact interaction between conserved fermion currents, is studied using lattice field theory simulations employing domain wall…

High Energy Physics - Lattice · Physics 2019-02-20 Simon Hands

We employ a simple effective model to study the chiral dynamics of two flavors of quarks at finite temperature and density. In particular, we determine the phase diagram in the plane of temperature and baryon chemical potential as a…

Nuclear Theory · Physics 2010-04-15 E. Scott Bowman , Joseph I. Kapusta

Standard lattice formulations of non-relativistic Fermi gases with two spin components suffer from a sign problem in the cases of repulsive contact interactions and attractive contact interactions with spin imbalance. We discuss the nature…

Quantum Gases · Physics 2022-12-23 Felipe Attanasio , Marc Bauer , Jan M. Pawlowski

A model of hadron masses based on the quark structure of hadrons combined with effects of chiral dynamics is used to calculate the 2+1 flavour chiral condensate in the hadron resonance gas framework. Results are discussed in the context of…

High Energy Physics - Phenomenology · Physics 2013-12-03 Jakub Jankowski , David Blaschke

We present the results of our computation of the chiral condensate with $N_f=2$ and $N_f=2+1+1$ flavours of maximally twisted mass fermions. The condensate is determined from the Dirac operator spectrum, applying the spectral projector…

High Energy Physics - Lattice · Physics 2013-12-20 Krzysztof Cichy , Elena Garcia-Ramos , Karl Jansen

We propose the gauged Thirring model as a natural gauge-invariant generalization of the Thirring model, four-fermion interaction of current-current type. In the strong gauge-coupling limit, the gauged Thirring model reduces to the recently…

High Energy Physics - Theory · Physics 2009-10-30 Kei-Ichi Kondo

We show how the prescription of taking the absolute value of the fermion determinant in the integration measure of QCD at finite density, forgetting its phase, reproduces the correct thermodynamical limit. This prescription, which applies…

High Energy Physics - Lattice · Physics 2007-05-23 Vicente Azcoiti

In this paper we test the complex Langevin algorithm for numerical simulations of a random matrix model of QCD with a first order phase transition to a phase of finite baryon density. We observe that a naive implementation of the algorithm…

High Energy Physics - Lattice · Physics 2018-04-04 J. Bloch , J. Glesaaen , J. J. M. Verbaarschot , S. Zafeiropoulos

The Thirring model in 2+1$d$ with $N$ Dirac flavors can exhibit spontaneous U($2N)\to$U($N)\otimes$U($N$) breaking through fermion - antifermion condensation in the limit $m\to0$. With no small parameter in play the symmetry-breaking…

High Energy Physics - Lattice · Physics 2026-01-23 Simon Hands , Jude Worthy

We consider the perturbative computation of the N-point function of chiral densities of massive free fermions at finite temperature within the thermofield dynamics approach. The infinite series in the mass parameter for the N-point…

High Energy Physics - Theory · Physics 2014-11-18 R. L. P. G. Amaral , L. V. Belvedere , K. D. Rothe

We investigate the existence of densities for finite-dimensional distributions of Hermite processes of order \(q \ge 1\) and self-similarity parameter \(H\in(\frac12,1)\). Whereas the Gaussian case \(q=1\) (fractional Brownian motion) is…

Probability · Mathematics 2025-09-26 Laurent Loosveldt , Yassine Nachit , Ivan Nourdin , Ciprian Tudor

We review some recent developments about strongly interacting relativistic Fermi theories in three spacetime dimensions. These models realize the asymptotic safety scenario and are used to describe the low-energy properties of Dirac…

High Energy Physics - Lattice · Physics 2022-03-17 Andreas W. Wipf , Julian J. Lenz

I extend to QCD an efficient method for lattice gauge theory with dynamical fermions. Once the eigenvalues of the Dirac operator and the density of states of pure gluonic configurations at a set of plaquette energies (proportional to the…

High Energy Physics - Lattice · Physics 2009-11-07 Xiang-Qian Luo

In two space-time dimensions, we write down the exact and closed Schwinger-Dyson equation for the gauged Thirring model which has been proposed recently by the author. The gauged Thirring model is a natural gauge-invariant extension of the…

High Energy Physics - Theory · Physics 2008-02-03 Kei-Ichi Kondo

We present finite-temperature, lattice Monte Carlo calculations of the particle number density, compressibility, pressure, and Tan's contact of an unpolarized system of short-range, attractively interacting spin-1/2 fermions in one spatial…

Quantum Gases · Physics 2015-03-18 M. D. Hoffman , P. D. Javernick , A. C. Loheac , W. J. Porter , E. R. Anderson , J. E. Drut

A type of bag function is proposed to make the MIT bag surface of baryon dynamical. It is illustrated through renormalization of the quark field that the softening of chiral bag gives rise to a model of chiral quark with…

High Energy Physics - Phenomenology · Physics 2013-08-06 Duojie Jia , LianChun Yu , Rui-Bin Wan
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