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We investigate the order of the finite temperature chiral symmetry restoration transition for QCD with two massless fermions, by using a novel method, based on simulating imaginary values of the quark chemical potential…

High Energy Physics - Lattice · Physics 2014-10-30 Claudio Bonati , Philippe de Forcrand , Massimo D'Elia , Owe Philipsen , Francesco Sanfilippo

By means of critical behaviors of the dynamical fermion mass in four-fermion interaction models, we have shown by explicit calculations that when T=0 the particle density will have a discontinuous jumping across the critical chemical…

High Energy Physics - Theory · Physics 2008-11-26 Zhou Bang-Rong

A general research on chiral symmetry restoring phase transitions at zero temperature and finite chemical potentials under electrical neutrality condition has been conducted in a Nambu-Jona-Lasinio model to describe two-flavor normal quark…

High Energy Physics - Phenomenology · Physics 2009-03-19 Xiao-Ming Wang , Bang-Rong Zhou

Quantum chromodynamics has a rather complicated phase structure. The finite temperature, chiral phase structure depends on the number of flavours and to a large extent on the particular values of the fermion masses. For two massless…

High Energy Physics - Lattice · Physics 2009-10-30 T. Reisz

Symmetry restoring phase transitions in three dimension Gross-Neveu model are shown to be second order at finite temperature $T$ and first order at T=0 and finite chemical potential $\mu$ by critical analysis of the dynamical fermion mass…

High Energy Physics - Theory · Physics 2007-05-23 Zhou Bang-Rong

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

We perform a lattice study of the ($2+1$)-dimensional Gross-Neveu model in a background magnetic field $B$ and at non-zero chemical potential $\mu$. The complex-action problem arising in our simulations using overlap fermions is under…

High Energy Physics - Lattice · Physics 2023-10-16 Julian J. Lenz , Michael Mandl , Andreas Wipf

Curvature induced phase transition is thoroughly investigated in a four- fermion theory with $N$ components of fermions for arbitrary space-time dimensions $(2 \leq D < 4)$. We adopt the $1/N$ expansion method and calculate the effective…

High Energy Physics - Theory · Physics 2015-06-26 Tomohiro Inagaki

The chiral phase transition is investigated within the framework of thermal field theory using the O(N) linear sigma model as an effective theory. We calculate the thermal effective potential by using the Cornwall-Jackiw-Tomboulis formalism…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nicholas Petropoulos

We consider the quark-meson model with two quark flavors in a constant external magnetic field $B$ at finite temperature $T$ and finite baryon chemical potential $\mu_B$. We calculate the full renormalized effective potential to one-loop…

High Energy Physics - Phenomenology · Physics 2015-05-28 Jens O. Andersen , Rashid Khan

In a recent work we studied the phase structure of the Gross-Neveu (GN) model in $1+1$ dimensions at finite number of fermion flavors $N_\mathrm{f} = 2, 8, 16$, finite temperature and finite chemical potential using lattice field theory.…

High Energy Physics - Lattice · Physics 2020-12-04 Julian J. Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

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

Nambu-Jona-Lasinio-type models are frequently employed as low-energy models in various research fields. With respect to the theory of the strong interaction, this class of models is indeed often used to analyze the structure of the phase…

High Energy Physics - Phenomenology · Physics 2018-01-26 Jens Braun , Marc Leonhardt , Martin Pospiech

We study first-order electroweak phase transitions nonperturbatively, assuming any particles beyond the Standard Model are sufficiently heavy to be integrated out at the phase transition. Utilising high temperature dimensional reduction, we…

High Energy Physics - Lattice · Physics 2024-10-17 Oliver Gould , Sinan Güyer , Kari Rummukainen

We study the formation of an electronic nematic phase characterized by a broken point-group symmetry in interacting fermion systems within the weak coupling theory. As a function of interaction strength and chemical potential, the phase…

Strongly Correlated Electrons · Physics 2007-05-23 Igor Khavkine , Chung-Hou Chung , Vadim Oganesyan , Hae-Young Kee

We apply the thermal (imaginary time) perturbative expansion to the relevant effective field theory to compute characteristics of the phase transition to the ordered state which can occur at low temperatures in the gas of (nonrelativistic)…

Quantum Gases · Physics 2023-09-27 Oskar Grocholski , Piotr H. Chankowski

We construct a fermionic lattice model containing interacting spin-$\frac{1}{2}$ fermions with an $O(4)$ symmetry. In addition the model contains a $\mathbb{Z}_2$ chiral symmetry which prevents a fermion mass term. Our model is motivated by…

High Energy Physics - Lattice · Physics 2019-12-25 Hanqing Liu

We consider the one-dimensional massive Thirring model formulated on the lattice with staggered fermions and an auxiliary compact vector (link) field, which is exactly solvable and shows a phase transition with increasing the chemical…

High Energy Physics - Lattice · Physics 2016-10-10 Hirotsugu Fujii , Syo Kamata , Yoshio Kikukawa

We analyze the quantum chaotic behavior of the Yukawa-SYK model as a function of filling and temperature, which describes random Yukawa interactions between $N$ complex fermions and $M$ bosons in zero spatial dimensions, for both the…

Strongly Correlated Electrons · Physics 2023-05-25 Andrew Davis , Yuxuan Wang

In this paper, we study the finite-temperature matrix quantum mechanics with chemical potential term linear in the single trace of U(N) matrices, via Monte Carlo simulation. In the bosonic case, we exhibit the existence of the…

High Energy Physics - Theory · Physics 2017-09-19 Takehiro Azuma , Pallab Basu , Prasant Samantray