Thermodynamic behavior of the generalized scalar Yukawa model in a magnetic background

Abreu, L. M.; Malbouisson, A. P. C.; Malbouisson, J. M. C.; Nery, E. S.; Silva, R. Rodrigues da

doi:10.1016/j.nuclphysb.2014.02.013

Cited by 14 publications

(6 citation statements)

References 33 publications

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“…[23,56,65]), we have taken into account the situations with and without the 't Hooft interaction term (i.e., κ = 0 or κ = 0, respectively). Note that in the case of a vanishing κ, the parameters in Eq (28) have…”

Section: A Absence Of Magnetic Fieldmentioning

confidence: 99%

“…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%

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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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Section: A Absence Of Magnetic Fieldmentioning

confidence: 99%

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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“…18 Specifically, another interesting question that was recently explored is the finitesize effects on the thermodynamic behavior of the scalar Yukawa model, 19 looking specially the case of one compactified spatial coordinate with a given size. Particularly, phase transitions induced by changes in the temperature, chemical potential and size of the compactified spatial coordinate were investigated, by considering the interaction between scalar and vector fields in the mean-field approximation.…”

Section: M Abreu a P C Malbouisson And E S Nerymentioning

confidence: 99%

“…(19) can be identified as the (β, L i , μ)-independent vacuum contribution. 18 Looking at the second term of Eq. (19), its manipulation is simplified when related to a result that involves Gamma-functions: let us remember that Γ(s) has a simple pole at s = 0, i.e.…”

Section: Thermodynamic Quantitiesmentioning

confidence: 99%

Phase structure of the scalar Yukawa model with compactified spatial dimensions

2016

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In this work, we investigate the thermodynamic behavior of the generalized scalar Yukawa model, composed of a complex scalar field interacting with real scalar and vector fields. In particular, boundary effects on the phase structure are discussed using methods of quantum field theory on toroidal topologies. We concentrate on the dependence of the thermodynamics with the number of compactified spatial dimensions. In this sense, the phase transitions are analyzed and compared with the system in the situations of one, two and three compactified spatial dimensions. Our findings suggest that the presence of more boundaries tends to inhibit the broken phase.

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“…In this paper we study the scalar Yukawa model, i.e, a model of a complex scalar field φ (phion) and a real field χ (chion) with the interaction gφ * φχ. This model is used in nuclear physics as a simplified version of the Yukawa model without spin degrees of freedom, as well as an effective model of the interaction of scalar quarks [7], [8]. If the coupling constant g takes purely imaginary values and the field χ is a pseudoscalar, such a model is P Tsymmetric.…”

Section: Introductionmentioning

confidence: 99%

Hermitian vs <i>PT</i>-Symmetric Scalar Yukawa Model

Rochev¹

2016

JMP

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A comparative analysis of a model of complex scalar field φ and real scalar field χ with interaction gφ * φχ for the real and purely imaginary values of coupling g in perturbative and non-perturbative regions. In contrast to the usual Hermitian version (real g), which is asymptotically free and energetically unstable, the non-Hermitian P Tsymmetric theory (imaginary g) is energetically stable and not asymptotically free. The non-perturbative approach based on Schwinger-Dyson equations reveals new interesting feature of the non-Hermitian model. While in the Hermitian version of theory the phion propagator has the non-physical non-isolated singularity in the Euclidean region of momenta, the non-Hermitian theory substantially free of this drawback, as the singulatity moves in the pseudo-Euclidean region.

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Thermodynamic behavior of the generalized scalar Yukawa model in a magnetic background

Cited by 14 publications

References 33 publications

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

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

Phase structure of the scalar Yukawa model with compactified spatial dimensions

Hermitian vs <i>PT</i>-Symmetric Scalar Yukawa Model

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Thermodynamic behavior of the generalized scalar Yukawa model in a magnetic background

Cited by 14 publications

References 33 publications

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

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

Phase structure of the scalar Yukawa model with compactified spatial dimensions

Hermitian vs &lt;i&gt;PT&lt;/i&gt;-Symmetric Scalar Yukawa Model

Contact Info

Product

Resources

About

Hermitian vs <i>PT</i>-Symmetric Scalar Yukawa Model