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In this paper we use the scalar field constructed in phase space to analyze the analogous Stefan-Boltzman law and Casimir effect both of them at finite temperature. The temperature is introduced by Thermo Field Dynamics (TFD) and the…

High Energy Physics - Theory · Physics 2018-07-11 R. G. G. Amorim , J. S da Cruz Filho , A. F. Santos , S. C. Ulhoa

A spatially flat Friedmann-Robertson-Walker background with a general scale factor is considered. In this space-time, the energy-momentum tensor of the scalar field with a general curvature coupling parameter is obtained. Using the Thermo…

High Energy Physics - Theory · Physics 2020-07-15 A. F. Santos , S. C. Ulhoa , Faqir C. Khanna

This paper deals with quantum field theory in curved space-time using the Thermo Field Dynamics. The scalar field is coupled to the Schwarzschild space time and then thermalised. The Stefan-Boltzmann law is established at finite temperature…

High Energy Physics - Theory · Physics 2020-06-10 A. F. Santos , S. C. Ulhoa , Faqir C. Khanna

Temperature effects in a scalar field non-minimally coupled to gravity are investigated. The Thermo Field Dynamics formalism is used. This is a topological field theory that allows us to calculate different effects, such as the…

General Relativity and Quantum Cosmology · Physics 2022-03-22 A. F. Santos , Faqir C. Khanna

Gravitons are described by the propagator in Teleparallel gravity in nearly flat space-time. Finite temperature is introduced by using Thermo Field Dynamics formalism. The Gravitational Casimir effect and Stefan-Boltzmann law are calculated…

High Energy Physics - Theory · Physics 2019-04-02 S. C. Ulhoa , A. F. Santos , T. F. Furtado , F. C. Khanna

In this paper, we propose finite temperature Dirac equation, which can describe the quantum systems in an arbitrary temperature for a relativistic particle of spin-1/2. When the temperature T=0, it become Dirac equation. With the equation,…

General Physics · Physics 2012-12-04 Xiang-Yao Wu , Bo-Jun Zhang , Xiao-Jing Liu , Nuo Ba , Yi-Heng Wu , Si-Qi Zhang , Jing Wang , Chun-Hong Li

In this paper, a massless scalar field coupled to gravity is considered. Then the Casimir effect at finite temperature is calculated. Such development is carried out in the Thermo Field Dynamics formalism. This approach presents a…

High Energy Physics - Theory · Physics 2022-10-07 A. F. Santos , Faqir C. Khanna

The Galilean covariance, formulated in 5-dimensions space, describes the non-relativistic physics in a way similar to quantum field theory. Using a non-relativistic approach the Stefan-Boltzmann law and the Casimir effect at finite…

High Energy Physics - Theory · Physics 2017-11-27 S. C. Ulhoa , A. F. Santos , Faqir C. Khanna

In this work, Podolsky theory, a second-order, Lorentz- and gauge-invariant extension of classical electrodynamics, is considered. The effects of Podolsky's modification on fundamental phenomena such as the Stefan-Boltzmann law and the…

High Energy Physics - Theory · Physics 2026-05-13 L. H. A. R. Ferreira , A. F. Santos

This work investigates the thermal Casimir effect associated with a massive spinor field defined on a four-dimensional flat space with a circularly compactified spatial dimension whose periodicity is oriented along a vector in $xy$-plane.…

High Energy Physics - Theory · Physics 2025-09-03 Joás Venâncio , Lameque Filho , Herondy Mota , Azadeh Mohammadi

We obtain the exact solution to the Dirac equation with the Poschl-Teller double ring-shaped Coulomb (PTDRSC) potential for any spin-orbit quantum number K. The relativistic scattering amplitude for spin 1/2 particles in the field of this…

Quantum Physics · Physics 2020-09-08 Mahdi Eshghi , Sasan Soudi , Sameer M. Ikhdair

Using the phase-space formulation of quantum mechanics, we derive a four-component Wigner equation for a system composed of spin-1/2 fermions (typically, electrons) including the Zeeman effect and the spin-orbit coupling. This Wigner…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Jerome Hurst , Paul-Antoine Hervieux , Giovanni Manfredi

Starting from the Pauli Hamiltonian operator, we derive a scalar quantum kinetic equations for spin-1/2 systems. Here the regular Wigner two-state matrix is replaced by a scalar distribution function in extended phase space. Apart from…

Quantum Gases · Physics 2010-04-21 Jens Zamanian , Mattias Marklund , Gert Brodin

In this work, a massive scalar field theory incorporating Lorentz violation is investigated. The symmetry breaking is introduced via a background traceless antisymmetric tensor. Within the framework of Thermo Field Dynamics (TFD), the…

High Energy Physics - Theory · Physics 2026-01-05 D. S. Cabral , L. H. A. R. Ferreira , L. A. S. Evangelista , A. F. Santos

Recently a great deal of interest in field theories formulated in a Lorentz violating framework has been developed. Here the Very Special Relativity (VSR) is considered. The main aspect in the VSR proposal is that laws of physics are…

High Energy Physics - Theory · Physics 2021-07-07 A. F. Santos , Faqir C. Khanna

Relativistic spin-1/2 particles in curved spacetime are naturally described by Dirac theory, which is a dynamical and Lorentz-invariant field theory. In this work, we propose a non-dynamical fermion theory in 3+1 dimensions dubbed spinor…

High Energy Physics - Theory · Physics 2016-07-20 Giandomenico Palumbo

We revisit the spin effects induced by thermal vorticity by calculating them directly from the spin-dependent distribution functions. For the spin-1/2 particles, we give the polarization up to the first order of thermal vorticity and…

High Energy Physics - Phenomenology · Physics 2023-11-17 Jian-Hua Gao , Shi-Zheng Yang

States of thermal equilibrium of an infinite system of interacting particles in a Euclidean space are studied. The particles bear 'unbounded' spins with a given symmetric a priori distribution. The interaction between the particles is…

Mathematical Physics · Physics 2015-05-12 Alexei Daletskii , Yuri Kondratiev , Yuri Kozitsky

In the present article we solve the Dirac equation in a de Sitter universe when a constant electric field is present. Using the Bogoliubov transformations, we compute the rate of spin 1/2 created particles by the electric field. We compare…

High Energy Physics - Theory · Physics 2016-08-15 Víctor M. Villalba

The dielectric permeability tensor for spin polarized plasmas is derived in terms of the spin-1/2 quantum kinetic model in six-dimensional phase space. Expressions for the distribution function and spin distribution function are derived in…

Plasma Physics · Physics 2017-03-08 Pavel A. Andreev
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