89 citations · 1.3k across the 114 of their papers we have counts for
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The vacuum energy with non-ideal boundary conditions via an approximate functional equation
E. Arias, G. O. Heymans, H. T. Lopes +1
We discuss the vacuum energy of a quantized scalar field in the presence of classical surfaces, defining bounded domains , where the field satisfies idea…
Functional equations for regularized zeta-functions and diffusion processes
Alexis Saldivar, Nami F. Svaiter, Carlos A. D. Zarro
We discuss modifications in the integral representation of the Riemann zeta-function that lead to generalizations of the Riemann functional equation that preserves the symmetry $s\…
Disordered Field Theory in and Distributional Zeta-Function
B. F. Svaiter, N. F. Svaiter
Recently we introduced a new technique for computing the average free energy of a system with quenched randomness. The basic tool of this technique is a distributional zeta-functio…
One-loop effective action and the Riemann Zeros
J. G. Dueñas, N. F. Svaiter, G. Menezes
We present a remarkable connection between the asymptotic behavior of the Riemann zeros and one-loop effective action in Euclidean scalar field theory. We show that in a two-dimens…
Thermodynamics of the Bosonic Randomized Riemann Gas
J. G. Dueñas, N. F. Svaiter
The partition function of a bosonic Riemann gas is given by the Riemann zeta function. We assume that the hamiltonian of this gas at a given temperature has a random varia…
Riemann zeta zeros and prime number spectra in quantum field theory
G. Menezes, B. F. Svaiter, N. F. Svaiter
The Riemann hypothesis states that all nontrivial zeros of the zeta function lie in the critical line . Hilbert and Pólya suggested that one possible way to prove the R…