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The chiral symmetry is explicitly and spontaneously broken in a strongly interacting massive fermionic system. We study the chiral symmetry restoration in massive four-fermion interaction models with increasing temperature and chemical…

High Energy Physics - Phenomenology · Physics 2023-06-02 Tomohiro Inagaki , Daiji Kimura , Hiromu Shimoji

The chiral symmetry of QCD with two massless quark flavours gets restored in a non-analytic chiral phase transition at finite temperature and zero density. Whether this is a first-order or a second-order transition has not yet been…

High Energy Physics - Lattice · Physics 2013-11-05 Claudio Bonati , Massimo D'Elia , Philippe de Forcrand , Owe Philipsen , Francesco Sanfillippo

We present a renormalization group theory for the onset of Ising-nematic order in a Fermi liquid in two spatial dimensions. This is a quantum phase transition, driven by electron interactions, which spontaneously reduces the point-group…

Strongly Correlated Electrons · Physics 2010-08-24 Max A. Metlitski , Subir Sachdev

The Gross-Neveu model with chemical potential is investigated as a low-energy effective theory of polyacetylene. In particular, we focus on the abrupt change in the features of electric conductivity such as sharp rise in the Pauli…

High Energy Physics - Theory · Physics 2007-05-23 Hisakazu Minakata , Alan Chodos

Supersymmetric renormalization group (RG) flow equations for the effective superpotential of the three-dimensional Wess-Zumino model are derived at zero and non-zero temperature. This model with fermions and bosons interacting via a Yukawa…

High Energy Physics - Theory · Physics 2014-11-20 Franziska Synatschke , Jens Braun , Andreas Wipf

We study the thermodynamics of the 2+1 dimensional Gross-Neveu model in the presence of a chemical potential by introducing a representation for the canonical partition function which encodes both real and imaginary chemical potential…

High Energy Physics - Theory · Physics 2009-10-31 H. R. Christiansen , A. C. Petkou , M. B. Silva Neto , N. D. Vlachos

We use methods of quantum field theory in toroidal topologies to study the $N$-component $D$-dimensional massive Gross-Neveu model, at zero and finite temperature, with compactified spatial coordinates. We discuss the behavior of the…

High Energy Physics - Theory · Physics 2015-06-04 F. C. Khanna , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

Phase transition of decay rate from quantum tunneling to thermal activity regimes is investigated in (3+1)-dimensional field theories with symmetry breaking term $f\phi$. By applying the two independent criteria for the sharp first-order…

High Energy Physics - Theory · Physics 2009-10-31 Hungsoo Kim , Soo-Young Lee , Sahng-Kyoon Yoo , D. K. Park , Jae Kwan kim

We use the linear $\delta$ expansion, or optimized perturbation theory, to evaluate the effective potential for the two dimensional Gross-Neveu model at finite temperature and density obtaining analytical equations for the critical…

High Energy Physics - Phenomenology · Physics 2011-08-04 Jean-Loic Kneur , Marcus Benghi Pinto , Rudnei O. Ramos

We study the finite temperature phase structure for three-flavor QCD with a focus on locating the critical point which separates crossover and first order phase transition region in the chiral regime of the Columbia plot. In this study, we…

High Energy Physics - Lattice · Physics 2017-10-20 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

We discuss the nature of phase transitions in self-gravitating systems both in the microcanonical and in the canonical ensemble. We avoid the divergence of the gravitational potential at short distances by considering the case of…

Statistical Mechanics · Physics 2009-11-07 P. H. Chavanis

The rearrangement of the Fermi surface of a homogeneous Fermi system upon approach to a second-order phase transition is studied at zero temperature. The analysis begins with an investigation of solutions of the equation $\epsilon(p)=\mu$,…

Strongly Correlated Electrons · Physics 2009-11-10 M. Baldo , V. V. Borisov , J. W. Clark , V. A. Khodel , M. V. Zverev

A first order phase transition leading to deconfinement and chiral restoration is a likely possibility for QCD, at least in some region of the temperature-density plane. A signal for a unique transition is that the order parameters for such…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Barducci , R. Casalbuoni , G. Pettini , R. Gatto

We consider pairing in a three-component gas of degenerate fermions. In particular, we solve the finite temperature mean-field theory of an interacting gas for a system where both interaction strengths and fermion masses can be unequal. At…

Superconductivity · Physics 2009-11-11 T. Paananen , J. -P. Martikainen , P. Torma

We analyze the quantum phase transition between a semimetal and a superfluid in a model of attractively interacting fermions with a linear dispersion. The quantum critical properties of this model cannot be treated by the Hertz-Millis…

Strongly Correlated Electrons · Physics 2011-06-06 P. Strack , S. Takei , W. Metzner

Adding activity or driving to a thermal system may modify its phase diagram and response functions. We study that effect for a Curie-Weiss model where the thermal bath switches rapidly between two temperatures. The critical temperature…

Statistical Mechanics · Physics 2025-02-11 Aaron Beyen , Christian Maes , Irene Maes

In this work, the phase diagram of the $2+1$-dimensional Gross-Neveu model is investigated with baryon chemical potential as well as chiral chemical potential in the mean-field approximation. We study the theory using two lattice…

High Energy Physics - Lattice · Physics 2022-11-09 Marc Winstel , Laurin Pannullo , Marc Wagner

It has been argued by Pisarski and Wilczek that finite temperature restoration of the chiral symmetry SU(Nf) x SU(Nf) is first-order for Nf >=3. This type of chiral symmetry with a large Nf may appear in the Higgs sector if one considers…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. Kikukawa , M. Kohda , J. Yasuda

We consider a polarized Fermi gas in the unitarity limit. Results are calculated analytically up to next-to-leading order in an expansion about d=4 spatial dimensions. We find a first order transition from superfluid to normal phase. The…

Other Condensed Matter · Physics 2008-11-26 Gautam Rupak , Thomas Schaefer , Andrei Kryjevski

Two-dimensional spin-orbital magnets with strong exchange frustration have recently been predicted to facilitate the realization of a quantum critical point in the Gross-Neveu-SO(3) universality class. In contrast to previously known…

Strongly Correlated Electrons · Physics 2021-05-05 Shouryya Ray , Bernhard Ihrig , Daniel Kruti , John A. Gracey , Michael M. Scherer , Lukas Janssen