Size effects on the thermodynamic behavior of a simplified generalized scalar Yukawa model

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

doi:10.1103/physrevd.91.087701

Cited by 12 publications

(11 citation statements)

References 27 publications

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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: 94%

“…As one of the findings of Ref. 19, it was argued that the presence of the boundaries tends to inhibit the broken phase.…”

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

confidence: 99%

“…19, to investigate the influence of the number of compactified spatial dimensions in the thermodynamic behavior of the scalar Yukawa model. In this sense, the phase transitions are analyzed and compared with the system in the situations of one, two and three compactified spatial dimensions.…”

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

confidence: 99%

“…(11) the derivative of the function Y (s) given in Eq. (19) with respect to s, for s → 0. In this sense, it is important to analyze its pole structure.…”

Section: Thermodynamic Quantitiesmentioning

confidence: 99%

“…(19) can be identified as the (β, L i , μ)-independent vacuum contribution. 18 Looking at the second term of Eq.…”

Section: Thermodynamic Quantitiesmentioning

confidence: 99%

See 4 more Smart Citations

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

confidence: 94%

“…As one of the findings of Ref. 19, it was argued that the presence of the boundaries tends to inhibit the broken phase.…”

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

confidence: 99%

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

confidence: 99%

“…(11) the derivative of the function Y (s) given in Eq. (19) with respect to s, for s → 0. In this sense, it is important to analyze its pole structure.…”

Section: Thermodynamic Quantitiesmentioning

confidence: 99%

“…(19) can be identified as the (β, L i , μ)-independent vacuum contribution. 18 Looking at the second term of Eq.…”

Section: Thermodynamic Quantitiesmentioning

confidence: 99%

See 3 more Smart Citations

Phase structure of the scalar Yukawa model with compactified spatial dimensions

2016

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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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Finite-size effects on the phase structure of the Walecka model

Abreu

Nery

2017

Phys. Rev. C

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In this work we investigate the finite-size effects on the phase structure of Walecka model within the framework of generalized Zeta-function, focusing on the influence of temperature as well as the number and length of compactified spatial dimensions. Here we concentrate on the situation of larger values of the coupling between the scalar and fermion fields, in which a phase transition of first order takes place. 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 thermodynamic behavior of the system depends on the length and number of spatial dimensions, with the symmetric phase being favored as the size of the system diminishes.

show abstract

Size effects on the thermodynamic behavior of a simplified generalized scalar Yukawa model

Cited by 12 publications

References 27 publications

Phase structure of the scalar Yukawa model with compactified spatial dimensions

Phase structure of the scalar Yukawa model with compactified spatial dimensions

The Yukawa Model in One Space - One Time Dimensions

Finite-size effects on the phase structure of the Walecka model

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