Phase structure of the scalar Yukawa model with compactified spatial dimensions

Abreu, L. M.; Malbouisson, A. P. C.; Nery, E. S.

doi:10.1142/s0217732316501212

Cited by 10 publications

(3 citation statements)

References 29 publications

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“…The investigation of the thermodynamical scenarios of relativistic and nonrelativistic structures has been a useful point of view concerning the comprehension of a great quantity of physical phenomena [41]. We can enumerate some examples like nuclear mater, cosmology, QGP in heavy ions collision and etc.…”

Section: Microcanonical and Canonical Ensemblesmentioning

confidence: 99%

Thermostatistical analysis for short-range interaction Potentials

Neves,

Abreu,

de Oliveira

et al. 2020

Preprint

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In this paper, we study the thermodynamics of short-range central potentials, namely, the Lee-Wick potential, and the Plasma potential. In the first part of the paper we obtain the numerical solution for the orbits equation for these potentials. Posteriorly, we introduce the thermodynamics through the microcanonical and canonical ensembles formalism defined on the phase space of the system. We calculate the density of states associated with the Lee-Wick and the Plasma potentials. From density of states, we obtain the thermodynamical physical quantities like entropy and temperature as functions of the energy. We also use the Boltzmann-Gibbs formalism to obtain the partition functions, the mean energy and the thermal capacity for these short-range potentials.

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Section: Microcanonical and Canonical Ensemblesmentioning

confidence: 99%

Thermostatistical analysis for short-range interaction Potentials

Neves,

Abreu,

de Oliveira

et al. 2020

Preprint

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show abstract

“…There are estimations indicating that QGP-like systems yielded in heavy-ion collisions are of the order of units or dozens of fermi [5][6][7]. In this sense, the influence of the size of the system on its thermodynamic behaviour and phase diagram has been widely analyzed in the literature through distinct and effective approaches, as Dyson-Schwinger equations of QCD [8][9][10], quark-meson model [11,12], extensions and generalizations of the Nambu-Jona-Lasinio (NJL) model [13][14][15][16][17][18][19][20][21][22][23], and others [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. The main findings of these works point out that the finite volume, combined with other relevant variables, act on the thermodynamic behavior of strongly interacting matter.…”

Section: Introductionmentioning

confidence: 99%

Finite-volume and magnetic effects on the phase structure of the three-flavor Nambu–Jona-Lasinio model

et al. 2019

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In this work we analyze the finite-volume and magnetic effects on the phase structure of a generalized version of Nambu-Jona-Lasinio model with three quark flavors. By making use of mean-field approximation and Schwinger's proper-time method in a toroidal topology with antiperiodic conditions, we investigate the gap equation solutions under the change of the size of compactified coordinates, strength of magnetic field, temperature and chemical potential. The 't Hooft interaction contributions are also evaluated. The thermodynamic behavior is strongly affected by the combined effects of relevant variables. The findings suggest that the broken phase is disfavored due to both increasing of temperature and chemical potential, and the drop of the cubic volume of size L, whereas it is stimulated with the augmentation of magnetic field. In particular, the reduction of L (remarkably at L ≈ 0.5 − 3 fm) engenders a reduction of the constituent masses for u, d, s-quarks through a crossover phase transition to the their corresponding current quark masses. On the other hand, the presence of a magnetic background generates greater values constituent quark masses, inducing smaller sizes and greater temperatures at which the constituent quark masses drop to the respective current ones.

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“…In particle physics, Yukawa's interaction or Yukawa coupling, is an interaction between a scalar field φ and a Dirac field ψ of the type V = g ψφψ for a scalar field or V = g ψiγ 5 φψ for a pseudoscalar field, g is called a Yukawa coupling constant. Recently the scalar Yukawa model has been introduced, where the Dirac field is replaced by a complex scalar field [2][3][4]. The Yukawa interaction is also used in the Standard Model to describe the coupling between the Higgs field and massless quark and lepton fields (i.e., the fundamental fermion particles).…”

mentioning

confidence: 99%

The Yukawa Model in One Space - One Time Dimensions

Gouba

2018

Mathematical Structures and Applications

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The Yukawa Model is revisited in one space -one time dimensions in an approach completely different to those available in the literature. We show that at the classical level it is a constrained system. We apply the Dirac method of quantization of constrained systems. Then by means of the bosonization procedure we uniformize the Hamiltonian at the quantum level in terms of a pseudoscalar field and the chiral components of a real scalar field.

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Phase structure of the scalar Yukawa model with compactified spatial dimensions

Cited by 10 publications

References 29 publications

Thermostatistical analysis for short-range interaction Potentials

Thermostatistical analysis for short-range interaction Potentials

Finite-volume and magnetic effects on the phase structure of the three-flavor Nambu–Jona-Lasinio model

The Yukawa Model in One Space - One Time Dimensions

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