Rigorous proof of the attractive nature for the Casimir force of ap-odd hypercube

DOI10.1088/0305-4470/34/49/320zbMath1019.81044arXivhep-th/0205225OpenAlexW3121146236MaRDI QIDQ2773141

Xiang-Hua Zhai, Xin-Zhou Li

Publication date: 21 September 2003

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0205225

zbMATH Keywords

Dirichlet boundary conditionsrectangular cavityzeta function regularizationHermitian massless scalar field

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Miscellaneous applications of number theory (11Z05)

Related Items (10)

Power laws for family sizes in a duplication model ⋮ Equivalence of zeta function technique and Abel–Plana formula in regularizing the Casimir energy of hyper-rectangular cavities ⋮ THE CASIMIR FORCE OF QUANTUM SPRING IN THE (D+1)-DIMENSIONAL SPACETIME ⋮ CASIMIR EFFECT UNDER QUASI-PERIODIC BOUNDARY CONDITION INSPIRED BY NANOTUBES ⋮ DIRICHLET CASIMIR ENERGY FOR A SCALAR FIELD IN A SPHERE: AN ALTERNATIVE METHOD ⋮ CASIMIR ENERGY, FERMION FRACTIONALIZATION AND STABILITY OF A FERMI FIELD IN AN ELECTRIC POTENTIAL IN (1+1) DIMENSIONS ⋮ Casimir energy for a coupled fermion-soliton system ⋮ Some developments of the Casimir effect in p-cavity of (D + 1)-dimensional space–time ⋮ CASIMIR PISTONS FOR MASSIVE SCALAR FIELDS ⋮ CASIMIR EFFECT WITH A HELIX TORUS BOUNDARY CONDITION

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