5 citations · 11 across the 3 of their papers we have counts for
7 papers · 1 filter
Cosmological uses of Casimir energy
Emilio Elizalde
A precise zeta-function calculation shows that the contribution of the vacuum energy to the observed value of the cosmological constant can possibly have the desired order of magni…
On the Casimir energy of a massive scalar field in positive curvature space
E Elizalde, A C Tort
We re-evaluate the zero point Casimir energy for the case of a massive scalar field in space, allowing also for deviations from the standard co…
Is the multiplicative anomaly relevant ?
Emilio Elizalde, Antonio Filippi, Luciano Vanzo +1
In a recent work, S. Dowker has shed doubt on a recipe used in computing the partition function for a matrix valued operator. This recipe, advocated by Benson, Bernstein and Dodels…
Is the multiplicative anomaly dependent on the regularization ?
Emilio Elizalde, Antonio Filippi, Luciano Vanzo +1
In a recent work, T.S. Evans has claimed that the multiplicative anomaly associated with the zeta-function regularization of functional determinants is regularization dependent. We…
On two complementary approaches aiming at the definition of the determinant of an elliptic partial differential operator
E. Elizalde
We bring together two apparently disconnected lines of research (of mathematical and of physical nature, respectively) which aim at the definition, through the corresponding zeta f…
Mellin Transform Techniques for Zeta-Function Resummations
E. Elizalde, S. Leseduarte, S. Zerbini
Making use of inverse Mellin transform techniques for analytical continuation, an elegant proof and an extension of the zeta function regularization theorem is obtained. No series…