Influence of a magnetic fluxon on the vacuum energy of quantum fields confined by a bag

Abstract

We study the simultaneous influence of boundary conditions and external fields on quantum fluctuations by considering vacuum zero-point energies for quantum fields in the presence of a magnetic fluxon confined by a bag, circular and spherical for bosons and circular for fermions. The Casimir effect is calculated in a generalized cut-off regularization after applying zeta-function techniques to eigenmode sums and using recent techniques about Bessel zeta functions at negative arguments.

References in corpus (1)

• Heat-kernel coefficients of the Laplace operator on the 3-dimensional ball

Cited by in corpus (17)

• The Casimir effect: Recent controversies and progress
• Quantum Stabilization of Compactified AdS_5
• Fermionic current densities induced by magnetic flux in a conical space with a circular boundary
• Fermionic vacuum polarization by a cylindrical boundary in the cosmic string spacetime
• Fermionic condensate in a conical space with a circular boundary and magnetic flux
• Dirac fields in the background of a magnetic flux string and spectral boundary conditions
• Fermionic Casimir densities in a conical space with a circular boundary and magnetic flux
• Casimir energy of massive MIT fermions in a Bohm-Aharonov background
• Massive 3+1 Aharonov-Bohm fermions in an MIT cylinder
• Local and Global Casimir Energies: Divergences, Renormalization, and the Coupling to Gravity
• Induced fermionic charge and current densities in two-dimensional rings
• Pauli-Villars regularization of Kaluza-Klein Casimir energy with Lorentz symmetry
• The ubiquitous $\zeta$-function and some of its "usual" and "unusual" meromorphic properties
• Casimir Force between Vortex Matter in Anisotropic and Layered Superconductors
• Effective action for $QE{D}_3$ in a region with borders
• UV sensitivity of Casimir energy
• Dirac fields in a Bohm-Aharonov background and spectral boundary conditions