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Related papers: Gravitational Casimir effect at finite temperature

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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

In order to compare recent experimental results with theoretical predictions we study the influence of finite conductivity of metals on the Casimir effect. The correction to the Casimir force and energy due to imperfect reflection and…

Quantum Physics · Physics 2023-04-14 Astrid Lambrecht , Cyriaque Genet , Serge Reynaud

From a covariant Hamiltonian formulation, using symplectic ideas, we obtain covariant quasilocal energy-momentum boundary expressions for general gravity theories. The expressions depend upon which variables are fixed on the boundary, a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Chiang-Mei Chen , James M. Nester , Roh Suan Tung

We consider polarizable sheets modeled by a lattice of delta function potentials. The Casimir interaction of two such lattices is calculated at nonzero temperature. The heat kernel expansion for periodic singular background is discussed in…

Quantum Physics · Physics 2020-02-19 Irina Pirozhenko

Energy-momentum (and angular momentum) for the Metric-Affine Gravity theory is considered from a Hamiltonian perspective (linked with the Noether approach). The important roles of the Hamiltonian boundary term and the many choices involved…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James M. Nester , Chiang-Mei Chen , Yu-Heui Wu

On the analogy of the Casimir effect, we present an effect of quantum-field fluctuations, attributed to gravitational field coupling to the zero-point energy of virtual particles in the vacuum. In the process of black hole's formation, such…

Astrophysics · Physics 2009-11-07 She-Sheng Xue

The zeta function regularization technique is used to study the finite temperature Casimir effect for a massless Majorana fermion field confined between parallel plates and satisfying bag boundary conditions. A magnetic field perpendicular…

High Energy Physics - Theory · Physics 2011-01-28 Andrea Erdas

After establishing the positivity constraint and spin content of the theory for gravitons interacting with a necessarily, and \textit{a priori}, \textit{non}-conserved external energy-momentum tensor, the expectation value formalism of the…

High Energy Physics - Theory · Physics 2013-11-12 E. B. Manoukian , S. Sukkhasena

The zero-point energy of a massless fermion field in the interior of two parallel plates in a D-dimensional space-time at zero temperature is calculated. In order to regularize the model, a mix between dimensional and zeta-function…

High Energy Physics - Theory · Physics 2009-10-31 R. D. M. De Paola , R. B. Rodrigues , N. F. Svaiter

We review recent developments in the Casimir effect which arises in quantization volumes restricted by material boundaries and in spaces with non-Euclidean topology. The starting point of our discussion is the novel exact solution for the…

Quantum Physics · Physics 2016-11-15 V. M. Mostepanenko

We provide a field-theoretic algorithm of obtaining energy momentum tensor (EMT) for gravitationally coupled theories. The method is based on an auxiliary field theory and equally applicable to both minimal and non-minimal coupling. The…

General Relativity and Quantum Cosmology · Physics 2018-03-08 Pradip Mukherjee , Anirban Saha , Amit Singha Roy

A matter-field theory of the Casimir force is formulated in which the electromagnetic field and collective modes of dielectric media are treated on an equal footing. In our theory, the Casimir force is attributed to zero-point energies of…

Condensed Matter · Physics 2009-10-31 Masato Koashi , Masahito Ueda

A novel formalism for the evaluation of the Casimir-Polder potential in an arbitrary gauge of vector potentials is introduced. The ground state energy of a neutral atom in the presence of an infinite two-dimensional plane with Chern-Simons…

High Energy Physics - Theory · Physics 2010-04-06 Valery N. Marachevsky , Yury M. Pis'mak

In the first part of the present work, we focus on the theory of gravitoelectromagnetism (GEM), and we derive the full set of equations and constraints that the GEM scalar and vector potentials ought to satisfy. We discuss important aspects…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Athanasios Bakopoulos , Panagiota Kanti

Using recently developed techniques based on scattering theory, we find the electromagnetic Casimir energy for geometries involving semi-infinite planes, a case that is of particular interest in the design of microelectromechanical devices.…

Quantum Physics · Physics 2011-06-20 Mohammad F. Maghrebi , Noah Graham

The thermal Casimir effect, arising from fluctuating electromagnetic fields of thermally agitated charges, induces thermosensitive forces and presents a novel approach to detecting nanoscale hot electrons, elusive yet ubiquitous in modern…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Weikang Lu , Ziyi Xu , Hewan Zhang , Svend Age Biehs , Achim Kittel , Ludi Qin , Xue Gong , Huanyi Xue , Yanru Song , Zhengyang Zhong , Shiyou Chen , Kun Ding , Wei Lu , Zhenghua An

We report development of a high-sensitivity torsion balance to measure the thermal Casimir force. Special emphasis is placed on experimental investigations of a possible surface electric force originating from surface patch potentials that…

Quantum Physics · Physics 2015-06-04 T. Graveson , C. Rackson , W. J. Kim

We consider the non-relativistic Hartree model in the gravitational case, i.e. with attractive Coulomb-Newton interaction. For a given mass, we construct stationary states with non-zero temperature by minimizing the corresponding free…

Analysis of PDEs · Mathematics 2015-05-19 Gonca L. Aki , Jean Dolbeault , Christof Sparber

We revisit a quantum-mechanical formula of the spin magnetic quadrupole moment (MQM) in periodic crystals. Two previous attempts were inconsistent with each other; one is gauge dependent, and the other is gauge invariant. Here we define the…

Strongly Correlated Electrons · Physics 2019-01-07 Atsuo Shitade , Akito Daido , Youichi Yanase

In this article, we derive the finite temperature Casimir force acting on a pair of parallel plates due to a massless scalar field propagating in the bulk of a higher dimensional brane model. In contrast to previous works which used…

High Energy Physics - Theory · Physics 2009-11-23 L. P. Teo