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We discuss the limitations of the applicability of the Lifshitz formula to describe the temperature dependence of the Casimir force between two bulk lossy metals. These limitations follow from the finite sizes of the interacting bodies.…

Other Condensed Matter · Physics 2015-05-13 V. A. Yampol'skii , Sergey Savel'ev , Z. A. Mayselis , S. S. Apostolov , Franco Nori

In this work I investigate the finite temperature Casimir effect due to a massive and charged scalar field that breaks Lorentz invariance in a CPT-even, aether-like way. I study the cases of Dirichlet and mixed (Dirichlet-Neumann) boundary…

High Energy Physics - Theory · Physics 2021-08-11 Andrea Erdas

The Casimir forces on two parallel plates in conformally flat de Sitter background due to conformally coupled massless scalar field satisfying mixed boundary conditions on the plates is investigated. In the general case of mixed boundary…

High Energy Physics - Theory · Physics 2016-09-06 M. R. Setare

Here we understand \textit{dimensional reduction} as a procedure to obtain an effective model in $D-1$ dimensions that is related to the original model in $D$ dimensions. To explore this concept we use both a self-interacting fermionic…

High Energy Physics - Theory · Physics 2019-07-24 E. Cavalcanti , C. A. Linhares , J. A. Lourenço , A. P. C. Malbouisson

We study the general form of the Casimir interaction between two flat finite-width, parallel, infinite mirrors, described by their respective vacuum polarization tensors, under the assumption of translation invariance along the directions…

High Energy Physics - Theory · Physics 2013-04-24 C. D. Fosco , M. L. Remaggi

A generalization of the MIT bag boundary condition for spinor matter is proposed basing on the requirement that the Dirac hamiltonian operator be self-adjoint. An influence of a background magnetic field on the vacuum of charged spinor…

High Energy Physics - Theory · Physics 2016-10-14 Yurii A Sitenko

We study a quantum fermion field inside a cylinder in Minkowski space-time. On the surface of the cylinder, the fermion field satisfies either spectral or MIT bag boundary conditions. We define rigidly-rotating quantum states in both cases,…

High Energy Physics - Theory · Physics 2016-05-18 Victor E. Ambrus , Elizabeth Winstanley

In typical one-dimensional models the Mermin-Wagner theorem forbids long range order, thus preventing finite-temperature phase transitions. We find a finite-temperature phase transition for a homogeneous system of attractive bosons in one…

Statistical Mechanics · Physics 2016-10-31 Christoph Weiss

We study a massless Dirac field subjected to two alternative boundary conditions on two parallel thin walls, in d + 1 dimensions. The two configurations correspond to the system being even or odd under reflection about the midplane between…

High Energy Physics - Theory · Physics 2026-05-19 Aitor Fernández , César D. Fosco

We present exact results on the behavior of the thermodynamic Casimir force and the excess free energy in the framework of the $d$-dimensional spherical model with a power law long-range interaction decaying at large distances $r$ as…

Statistical Mechanics · Physics 2009-11-10 H. Chamati , D. Danchev

Casimir forces of massive fermionic Dirac fields are calculated for parallel plates geometry in spatial space with dimension d and imposing bag model boundary conditions.It is shown that in the range of ma>>1 where m is mass of fields…

Quantum Physics · Physics 2012-08-27 Amir H. Abbassi &A. R. Sadre Momtaz

We investigate the fermionic condensate and the vacuum expectation value of the energy-momentum tensor for a massive fermionic field in the geometry of two parallel plate on the background of Minkowski spacetime with an arbitrary number of…

High Energy Physics - Theory · Physics 2011-06-07 E. Elizalde , S. D. Odintsov , A. A. Saharian

The electromagnetic Casimir effect manifests as the interaction between uncharged conducting objects that are placed in a vacuum. More generally, the Casimir-like effect denotes an induced interaction between external bodies in a…

Quantum Gases · Physics 2019-05-16 Benjamin Reichert , Zoran Ristivojevic , Aleksandra Petkovic

Finite temperature properties of a non-Fermi liquid system is one of the most challenging probelms in current understanding of strongly correlated electron systems. The paradigmatic arena for studying non-Fermi liquids is in one dimension,…

Strongly Correlated Electrons · Physics 2018-07-18 Garry Bowen , Miklos Gulacsi

Landau-Ginzburg $\phi^4$ field theory is usually applied to systems for understanding continuous phase transitions at critical points. Here we analyze the thermal field using a similar free energy description from a statistical field theory…

Statistical Mechanics · Physics 2021-10-22 Venkat Abhignan , R. Sankaranarayanan

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

We consider systems confined to a $d$-dimensional slab of macroscopic lateral extension and finite thickness $L$ that undergo a continuous bulk phase transition in the limit $L\to\infty$ and are describable by an O(n) symmetrical…

Statistical Mechanics · Physics 2007-05-23 Daniel Dantchev , H. W. Diehl , Daniel Grüneberg

The Lifshitz formula is well known as a theoretical approach to investigate the Casimir effect at finite temperature. In this Letter, we generalize the Lifshitz formula to the Casimir effect originating from quantum fields at finite…

Quantum Physics · Physics 2025-10-01 Daisuke Fujii , Katsumasa Nakayama , Kei Suzuki

Interacting fermionic chains exhibit extended regions of topological degeneracy of their ground states as a result of the presence of Majorana or parafermionic zero modes localized at the edges. In the opposite limit of infinite…

Strongly Correlated Electrons · Physics 2025-08-29 Niklas Tausendpfund , Aditi Mitra , Matteo Rizzi

We study a dilute and ultracold Bose gas of interacting atoms by using an effective field theory which takes account finite-range effects of the inter-atomic potential. Within the formalism of functional integration from the grand canonical…

Quantum Gases · Physics 2017-04-06 A. Cappellaro , L. Salasnich