The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect

AA Saharian - arXiv preprint arXiv:0708.1187, 2007 - arxiv.org
One of the most efficient methods for the evaluation of the vacuum expectation values for
physical observables in the Casimir effect is based on using the Abel-Plana summation …

Vacuum currents induced by a magnetic flux around a cosmic string with finite core

ER Bezerra de Mello, VB Bezerra, AA Saharian… - Physical Review D, 2015 - APS
We evaluate the Hadamard function and the vacuum expectation value of the current density
for a massive complex scalar field in the generalized geometry of a straight cosmic string …

Casimir interaction of finite-width strings

YV Grats, P Spirin - Physical Review D, 2023 - APS
Within the trace-logarithm formalism for the effective action we investigate the vacuum
interaction of cosmic strings and the influence of string's width on this effect. For the …

Fermionic current densities induced by magnetic flux in a conical space with a circular boundary

ER Bezerra de Mello, VB Bezerra, AA Saharian… - Physical Review D …, 2010 - APS
We investigate the vacuum expectation value of the fermionic current induced by a magnetic
flux in a (2+ 1)-dimensional conical spacetime in the presence of a circular boundary. On the …

Fermionic vacuum polarization by a cylindrical boundary in the cosmic string spacetime

ER Bezerra de Mello, VB Bezerra, AA Saharian… - Physical Review D …, 2008 - APS
The vacuum expectation values of the energy-momentum tensor and the fermionic
condensate are analyzed for a massive spinor field obeying the MIT bag boundary condition …

Electromagnetic Casimir densities induced by a conducting cylindrical shell in the cosmic string spacetime

ERB de Mello, VB Bezerra, AA Saharian - Physics Letters B, 2007 - Elsevier
We investigate the renormalized vacuum expectation values of the field square and the
energy–momentum tensor for the electromagnetic field inside and outside of a conducting …

Fermionic current induced by magnetic flux in compactified cosmic string spacetime

ER Bezerra de Mello, AA Saharian - The European Physical Journal C, 2013 - Springer
In this paper, we investigate the fermionic current densities induced by a magnetic flux
running along the idealized cosmic string in a four-dimensional spacetime, admitting that the …

Vacuum polarization induced by a cosmic string in anti-de Sitter spacetime

ERB de Mello, AA Saharian - Journal of Physics A: Mathematical …, 2012 - iopscience.iop.org
In this paper, we investigate the vacuum expectation values (VEVs) of the field squared and
the energy–momentum tensor associated with a massive scalar quantum field induced by a …

Topological Casimir effect in compactified cosmic string spacetime

ERB de Mello, AA Saharian - Classical and Quantum Gravity, 2012 - iopscience.iop.org
We investigate the Wightman function, the vacuum expectation values of the field squared
and the energy–momentum tensor for a massive scalar field with general curvature coupling …

Vacuum effects induced by a plate in de Sitter spacetime in the presence of a cosmic string

WO dos Santos, ER Bezerra de Mello - Universe, 2023 - mdpi.com
In this paper, we investigate the vacuum expectation values of the field squared and the
energy–momentum tensor associated to a charged massive scalar quantum field in a (1+ D) …