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First-order phase transitions in many-fermion systems are not detected in the susceptibility analysis of common renormalization-group (RG) approaches. Here we introduce a counterterm technique within the functional renormalization-group…

Strongly Correlated Electrons · Physics 2007-05-23 R. Gersch , J. Reiss , C. Honerkamp

In the present work, higher-order mesonic interactions are included in the linear sigma model at a finite temperature. The effective potential is minimized in the calculations of the sigma and pion effective masses. The field equations have…

High Energy Physics - Phenomenology · Physics 2013-11-11 M. Abu-Shady , H. Mansour

A consistent local approach to the study of interacting relativistic fermion systems with a condensation of bare particles in its ground or vacuum state, which may has a finite matter density, is developed. The attention is payed to some of…

High Energy Physics - Theory · Physics 2011-08-04 S. Ying

We study the finite temperature electroweak phase transition with lattice perturbation theory and Monte Carlo techniques. Dimensional reduction is used to approximate the full four-dimensional SU(2) + a fundamental doublet Higgs theory by…

High Energy Physics - Phenomenology · Physics 2009-10-22 K. Kajantie , K. Rummukainen , M. Shaposhnikov

Four-fermi models in dimensionality $2<d<4$ exhibit an ultra-violet stable renormalization group fixed point at a strong value of the coupling constant where chiral symmetry is spontaneously broken. The resulting field theory describes…

High Energy Physics - Lattice · Physics 2016-08-31 Simon Hands , Aleksandar Kocic , John B. Kogut

We investigate the chiral phase transition in the strong coupling lattice QCD (SC-LQCD) at finite temperature and density with finite coupling effects. We adopt one species of staggered fermion, and develop an analytic formulation based on…

High Energy Physics - Lattice · Physics 2010-11-05 Akira Ohnishi , Kohtaroh Miura , Takashi Z. Nakano , Noboru Kawamoto

In the Maxwell--Chern-Simons theory coupled to $N_f$ flavors of 4-component fermions (or even number of 2-component fermions) we construct the gauge-covariant effective potential written in terms of two order parameters which are able to…

High Energy Physics - Phenomenology · Physics 2015-06-25 Kei-Ichi Kondo

We study the behavior of two diferent models at finite temperature in a $D$-dimensional spacetime. The first one is the $\lambda\varphi^{4}$ model and the second one is the Gross-Neveu model. Using the one-loop approximation we show that in…

High Energy Physics - Theory · Physics 2015-06-26 A. P. C. Malbouisson , N. F. Svaiter

We describe implementation and analysis of a first-principles theory, derived in an earlier work, for the leading terms in an expansion of a Gibbs free energy of a multi-component alloy in terms of order parameters that characterize…

Materials Science · Physics 2025-02-24 Christopher D. Woodgate , Julie B. Staunton

I discuss the analytic structure of thermodynamic quantities for complex values of thermodynamic variables within Landau theory. In particular, the singularities connected with phase transitions of second order, first order and cross over…

High Energy Physics - Phenomenology · Physics 2013-07-02 Bengt Friman

In a progress toward searching for the QCD critical point, we study the finite density phase transition of $N_f = 4$ and 2 lattice QCD at finite temperature with the canonical ensemble approach. We develop a winding number expansion method…

High Energy Physics - Lattice · Physics 2010-10-04 Anyi Li , Andrei Alexandru , Keh-Fei Liu , Xiangfei Meng

We investigate the impact of non-Hermiticity on the thermodynamic properties of interacting fermions by examining bilinear extensions to the $3+1$ dimensional $SU(2)$-symmetric Nambu--Jona-Lasinio (NJL) model of quantum chromodynamics at…

High Energy Physics - Phenomenology · Physics 2025-10-23 Alexander Felski , Alireza Beygi , S. P. Klevansky

We study thermodynamics of strongly coupled lattice QCD with two colors of massless staggered fermions as a function of the baryon chemical potential $\mu$ in 3+1 dimensions using a new cluster algorithm. We find evidence that the model…

High Energy Physics - Lattice · Physics 2009-11-11 Shailesh Chandrasekharan , Fu-Jiun Jiang

In this paper, we aim to study the complete self-energy in the fermion propagator within two-flavor NJL model in the case of finite temperature, chemical potential and external magnetic field. Through Fierz transformation we prove that the…

High Energy Physics - Theory · Physics 2018-10-18 Song Shi , Yi-Lun Du , Yi Tang , Yong-Hui Xia , Zhu-fang Cui , Hong-Shi Zong

Studies of the QCD phase diagram must properly include nucleonic degrees of freedom and their thermodynamics in the range of baryon chemical potentials characteristic of nuclear matter. A useful framework for incorporating relevant nuclear…

High Energy Physics - Phenomenology · Physics 2014-01-27 Matthias Drews , Thomas Hell , Bertram Klein , Wolfram Weise

The phase diagram and thermodynamic properties of the (2+1)-dimensional Gross-Neveu model are studied in the presence of a constant magnetic field. The optimized perturbation theory (OPT) is used to obtain results going beyond the large-N…

High Energy Physics - Phenomenology · Physics 2013-08-07 Jean-Loic Kneur , Marcus Benghi Pinto , Rudnei O. Ramos

In (2+1) dimensions, we consider the model of a $N$ flavor, two-component fermionic field interacting through a Chern-Simons field besides a four fermion self-interaction which consists of a linear combination of the Gross-Neveu and…

High Energy Physics - Theory · Physics 2009-10-31 V. S. Alves , M. Gomes , S. V. L. Pinheiro , A. J. da Silva

First-order phase transitions, characterized by a discontinuous change in the order parameter, are intriguing phenomena in condensed matter physics. However, the underlying, material-specific, microscopic mechanisms often remain unclear.…

In the paper a generalization of the (1+1)-dimensional model by Chodos et al [Phys. Rev. D61, 045011 (2000)] has been performed to the case of (2+1)-dimensional spacetime. The model includes four-fermion interaction both in the…

High Energy Physics - Theory · Physics 2015-06-11 K. G. Klimenko , R. N. Zhokhov , V. Ch. Zhukovsky

By combining different ideas, a general and efficient protocol to deal with discontinuous phase transitions at low temperatures is proposed. For small $T$'s, it is possible to derive a generic analytic expression for appropriate order…

Statistical Mechanics · Physics 2015-06-03 C. E. Fiore , M. G. E. da Luz
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