scholarly journals Casimir Effect for a Perfectly Conducting Wedge in Terms of Local Zeta Function

2002 ◽  
Vol 298 (2) ◽  
pp. 403-420 ◽  
Author(s):  
V.V. Nesterenko ◽  
G. Lambiase ◽  
G. Scarpetta
Keyword(s):  
Zeta Function ◽  
Casimir Effect ◽  
Local Zeta Function

scholarly journals A new generating function for calculating the Igusa local zeta function

2017 ◽  
Vol 304 ◽  
pp. 355-420 ◽  
Author(s):  
Raemeon A. Cowan ◽  
Daniel J. Katz ◽  
Lauren M. White
Keyword(s):  
Zeta Function ◽  
Generating Function ◽  
Local Zeta Function

scholarly journals Poles of the Igusa local zeta function of some hybrid polynomials

2014 ◽  
Vol 25 ◽  
pp. 37-48
Author(s):  
Edwin León-Cardenal ◽  
Denis Ibadula ◽  
Dirk Segers
Keyword(s):  
Zeta Function ◽  
Local Zeta Function

scholarly journals The local zeta function for symmetric spaces of non-compact type

2011 ◽  
Vol 61 (1) ◽  
pp. 125-136 ◽  
Author(s):  
Tomás F. Godoy ◽  
Roberto J. Miatello ◽  
Floyd L. Williams
Keyword(s):  
Zeta Function ◽  
Symmetric Spaces ◽  
Compact Type ◽  
Local Zeta Function

REGULARIZATION OF GENERAL MULTIDIMENSIONAL EPSTEIN ZETA-FUNCTIONS

1989 ◽  
Vol 01 (01) ◽  
pp. 113-128 ◽  
Author(s):  
E. ELIZALDE ◽  
A. ROMEO
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Partition Function ◽  
Zeta Function ◽  
Finite Temperature ◽  
Casimir Effect ◽  
Zeta Functions ◽  
Quantum Field ◽  
Type Formula

We study expressions for the regularization of general multidimensional Epstein zeta-functions of the type [Formula: see text] After reviewing some classical results in the light of the extended proof of zeta-function regularization recently obtained by the authors, approximate but very quickly convergent expressions for these functions are derived. This type of analysis has many interesting applications, e.g. in any quantum field theory defined in a partially compactified Euclidean spacetime or at finite temperature. As an example, we obtain the partition function for the Casimir effect at finite temperature.

scholarly journals The Casimir effect for thick pistons

2016 ◽  
Vol 31 (06) ◽  
pp. 1650012
Author(s):  
Guglielmo Fucci
Keyword(s):  
Boundary Conditions ◽  
Zeta Function ◽  
Regularization Method ◽  
Casimir Force ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Numerical Results ◽  
Spectral Zeta Function

In this work, we analyze the Casimir energy and force for a thick piston configuration. This study is performed by utilizing the spectral zeta function regularization method. The results we obtain for the Casimir energy and force depend explicitly on the parameters that describe the general self-adjoint boundary conditions imposed. Numerical results for the Casimir force are provided for specific types of boundary conditions and are also compared to the corresponding force on an infinitely thin piston.

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