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A magnetic field independent regularization scheme (zMFIR) based on the Hurwitz-Riemann zeta function is introduced. The new technique is applied to the regularization of the mean-field thermodynamic potential and mass gap equation within…

High Energy Physics - Phenomenology · Physics 2019-06-25 Sidney S. Avancini , Ricardo L. S. Farias , William R. Tavares

In this work we analyze how effects of finite size may modify the thermodynamics of a system of strongly interacting fermions that we model using an effective field theory with four-point interactions at finite temperature and density and…

High Energy Physics - Theory · Physics 2015-06-11 Antonino Flachi

Dynamical mean-field approximations are performed to study the phase transition of a pair contact process with diffusion in different spatial dimensions. The level of approximation is extended up to 18-site clusters for the one-dimensional…

Statistical Mechanics · Physics 2007-05-23 Attila Szolnoki

We study the phase diagram for strongly interacting matter using the 't Hooft determinant extended Nambu--Jona-Lasinio model with a Polyakov loop in the light and strange quark sectors (\emph{up}, \emph{down} and \emph{strange}) focusing on…

High Energy Physics - Phenomenology · Physics 2021-04-13 João Moreira , Pedro Costa , Tulio E. Restrepo

We consider spin systems with long-range interactions in nonadditive regime. When the non-additive scaling limit is employed, the energy and the entropy compete and the system exhibits some phase transitions. Such systems do not satisfy the…

Statistical Mechanics · Physics 2013-10-15 Takashi Mori

We study the phase diagram of two-flavor massless QCD at finite baryon density by applying the functional renormalization group (FRG) for a quark-meson model with $\sigma, \pi$, and $\omega$ mesons. The dynamical fluctuations of quarks,…

High Energy Physics - Phenomenology · Physics 2018-01-09 Hui Zhang , Defu Hou , Toru Kojo , Bin Qin

We study quark-hadron phase transition at finite temperature with zero net baryon density by the Nambu-Jona-Lasinio model for interacting quarks in uniform background temporal color gauge fields. At low temperatures, unphysical thermal…

High Energy Physics - Phenomenology · Physics 2015-07-01 Kanako Yamazaki , T. Matsui

We consider a system of fermions with local interactions on a lattice (Hubbard model) and apply a novel extension of the Laplace's method (saddle-point approximation) for evaluating the corresponding partition function. There, we introduce…

Strongly Correlated Electrons · Physics 2022-05-05 Dmytro Makogon , Cristiane Morais Smith

It is shown that the endpoint of the first order transition line which merges into a crossover regime in the phase diagram of the Nambu--Jona-Lasinio model, extended to include the six-quark 't Hooft and eight-quark interaction Lagrangians,…

High Energy Physics - Phenomenology · Physics 2010-07-02 B. Hiller , J. Moreira , A. A. Osipov , A. H. Blin

We employ a new self-consistent mean field approximation of NJL model, which introduces a free parameter $\alpha$ ($\alpha$ reflects the weight of different interaction channels), to study the effects of the chiral chemical potential…

Nuclear Theory · Physics 2019-11-20 Li-Kang Yang , Xiaofeng Luo , Hong-Shi Zong

In a previous work a model was proposed for the phase transitions of crystals with localized magnetic moments which at low temperature have a "conical" arrangement that at higher T transforms into a more symmetrical structure (depending on…

Statistical Mechanics · Physics 2009-11-13 Vittorio Massidda

A phase transition into the condensed state of fermions hybridized with immobile bosons is examined beyond the ordinary mean-field approximation (MFA) in two and three dimensions. The hybridization interaction does not provide the Cooper…

Strongly Correlated Electrons · Physics 2015-06-24 A. S. Alexandrov

We investigate the properties of charge-neutral $\beta$-equilibrium cold quark matter within the Nambu-Jona-Lasinio model. The calculations are carried out for different ratios of coupling constants characterizing the vector and scalar…

Astrophysics · Physics 2009-11-06 M. Hanauske , L. M. Satarov , I. N. Mishustin , H. Stoecker , W. Greiner

We study the thermodynamics of the linear sigma model with constituent quarks beyond the mean-field approximation. By integrating out the quark degrees of freedom we derive an effective action for the meson fields which is then linearized…

Nuclear Theory · Physics 2009-11-10 A. Mocsy , I. N. Mishustin , P. J. Ellis

The double folding (DF) approach is one of the widely used methods for finding nucleus-nucleus interaction potential. In the present work, the influence of the nuclear matter density on the DF potential and on the Coulomb barrier parameters…

We revisit the renormalization prescription for the quark-meson model in an extended mean-field approximation, where vacuum quark fluctuations are included. At a given cutoff scale the model parameters are fixed by fitting vacuum…

High Energy Physics - Phenomenology · Physics 2016-08-17 Stefano Carignano , Michael Buballa , Wael Elkamhawy

We study the quantum spin-1/2 Heisenberg model in two dimensions, interacting through a nearest-neighbor antiferromagnetic exchange ($J$) and a ferromagnetic dipolar-like interaction ($J_d$), using double-time Green's function, decoupled…

Statistical Mechanics · Physics 2009-11-11 J. Ricardo de Sousa , N. S. Branco

We apply the interacting parametrized post-Friedmann (IPPF) method to a coupled dark energy model where the interaction is proportional to dark matter density at background level. In doing so, we perform a Markov Chain Monte-Carlo analysis…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-18 Martín G. Richarte , Lixin Xu

We analyze the phase diagram of a quantum mean spherical model in terms of the temperature $T$, a quantum parameter $g$, and the ratio $p=-J_{2}/J_{1}$, where $J_{1}>0$ refers to ferromagnetic interactions between first-neighbor sites along…

Statistical Mechanics · Physics 2012-10-25 P. F. Bienzobaz , S. R. Salinas

We present a systematic study of the magnetization in YbRh$_{2}$Si$_{2}$ under slightly negative (6?% Ir substitution) and positive (7% Co substitution) chemical pressure. We show how the critical field $H_{0}$, associated with the…

Strongly Correlated Electrons · Physics 2013-03-12 Manuel Brando , Luis Pedrero , Tanja Westerkamp , Cornelius Krellner , Philipp Gegenwart , Christoph Geibel , Frank Steglich