Casimir Energy For Perfect Electric Conductors Revisited

2019 ◽  
Author(s):  
Carlos H. Salazar-Lazaro ◽  
Weng Cho Chew ◽  
Micheal Stone
Keyword(s):  
Casimir Energy

On the Possibility of the Implicit Renormalization of the Casimir Energy

2018 ◽  
Vol 73 (3) ◽  
pp. 278-283
Author(s):  
A. I. Dubikovsky ◽  
P. K. Silaev
Keyword(s):  
Casimir Energy

scholarly journals LATTICE QCD AND STRING THEORY

2006 ◽  
Vol 21 (04) ◽  
pp. 699-706 ◽  
Author(s):  
JULIUS KUTI
Keyword(s):  
String Theory ◽  
Lattice Qcd ◽  
Excitation Spectrum ◽  
Ground State ◽  
Gauge Theories ◽  
Casimir Energy ◽  
Closed String ◽  
Compact Dimension ◽  
Electric Flux ◽  
String Formation

Bosonic string formation in gauge theories is reviewed with particular attention to the confining flux in lattice QCD and its string theory description. Recent results on the Casimir energy of the ground state and the string excitation spectrum are analyzed in the Dirichlet string limit of large separation between static sources. The closed string-soliton (torelon) with electric flux winding around a compact dimension is also discussed.

scholarly journals BOUNDARY CONDITIONS IN THE DIRAC APPROACH TO GRAPHENE DEVICES

2012 ◽  
Vol 14 ◽  
pp. 240-249 ◽  
Author(s):  
C.G. BENEVENTANO ◽  
E.M. SANTANGELO
Keyword(s):  
Boundary Conditions ◽  
Zeta Function ◽  
Continuum Limit ◽  
Casimir Energy ◽  
Local Boundary ◽  
Graphene Devices ◽  
The Continuum

We study a family of local boundary conditions for the Dirac problem corresponding to the continuum limit of graphene, both for nanoribbons and nanodots. We show that, among the members of such family, MIT bag boundary conditions are the ones which are in closest agreement with available experiments. For nanotubes of arbitrary chirality satisfying these last boundary conditions, we evaluate the Casimir energy via zeta function regularization, in such a way that the limit of nanoribbons is clearly determined.

QUANTUM PHENOMENA BETWEEN UNIFORMLY MOVING PLATES

1995 ◽  
Vol 10 (07) ◽  
pp. 619-625 ◽  
Author(s):  
R. JÁUREGUI ◽  
C. VILLARREAL ◽  
S. HACYAN
Keyword(s):  
Relative Velocity ◽  
Moving Boundary ◽  
Dimensional Space ◽  
Casimir Energy ◽  
Squeezed States ◽  
Parallel Plates ◽  
Dimensional Space Time ◽  
Scalar Massless Field ◽  
Quantum Phenomena ◽  
Theory Of Fields

The quantum theory of fields with moving boundary conditions in four-dimensional space-time is studied. We consider the particular case of a scalar massless field between two infinite parallel plates moving with constant relative velocity. It is shown that this motion produces squeezed states, and creates 'particles' at the expense of the Casimir energy.

Gravitational Casimir energy in non-Abelian Kaluza-Klein theories

1985 ◽  
Vol 31 (12) ◽  
pp. 3064-3072 ◽  
Author(s):  
Alan Chodos ◽  
Eric Myers
Keyword(s):  
Casimir Energy ◽  
Kaluza Klein

Weak Gravitational Wave and Casimir Energy of a Scalar Field

2016 ◽  
Vol 55 (9) ◽  
pp. 4100-4108
Author(s):  
F. Tavakoli ◽  
R. Pirmoradian ◽  
I. Parsabod
Keyword(s):  
Scalar Field ◽  
Gravitational Wave ◽  
Casimir Energy ◽  
Weak Gravitational Wave

scholarly journals Worldline numerics applied to custom Casimir geometry generates unanticipated intersection with Alcubierre warp metric

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Harold White ◽  
Jerry Vera ◽  
Arum Han ◽  
Alexander R. Bruccoleri ◽  
Jonathan MacArthur
Keyword(s):  
Energy Density ◽  
Three Dimensional ◽  
Casimir Energy ◽  
Negative Energy ◽  
Vacuum Model ◽  
Energy Density Distribution ◽  
Dynamic Vacuum ◽  
Negative Energy Density ◽  
Funded Project ◽  
Transient Electric Field

AbstractWhile conducting analysis related to a DARPA-funded project to evaluate possible structure of the energy density present in a Casimir cavity as predicted by the dynamic vacuum model, a micro/nano-scale structure has been discovered that predicts negative energy density distribution that closely matches requirements for the Alcubierre metric. The simplest notional geometry being analyzed as part of the DARPA-funded work consists of a standard parallel plate Casimir cavity equipped with pillars arrayed along the cavity mid-plane with the purpose of detecting a transient electric field arising from vacuum polarization conjectured to occur along the midplane of the cavity. An analytic technique called worldline numerics was adapted to numerically assess vacuum response to the custom Casimir cavity, and these numerical analysis results were observed to be qualitatively quite similar to a two-dimensional representation of energy density requirements for the Alcubierre warp metric. Subsequently, a toy model consisting of a 1 $$\upmu $$ μ m diameter sphere centrally located in a 4 $$\upmu $$ μ m diameter cylinder was analyzed to show a three-dimensional Casimir energy density that correlates well with the Alcubierre warp metric requirements. This qualitative correlation would suggest that chip-scale experiments might be explored to attempt to measure tiny signatures illustrative of the presence of the conjectured phenomenon: a real, albeit humble, warp bubble.

scholarly journals A NOTE ON THE CASIMIR ENERGY OF A MASSIVE SCALAR FIELD IN POSITIVE CURVATURE SPACE

2004 ◽  
Vol 19 (02) ◽  
pp. 111-116 ◽  
Author(s):  
E. ELIZALDE ◽  
A. C. TORT
Keyword(s):  
High Temperature ◽  
Scalar Field ◽  
Zeta Function ◽  
Vacuum Energy ◽  
Positive Curvature ◽  
Zero Point ◽  
Casimir Energy ◽  
Massive Scalar ◽  
Zero Temperature ◽  
Massive Scalar Field

We re-evaluate the zero point Casimir energy for the case of a massive scalar field in R1×S3 space, allowing also for deviations from the standard conformal value ξ=1/6, by means of zero temperature zeta function techniques. We show that for the problem at hand this approach is equivalent to the high temperature regularization of the vacuum energy, as conjectured in a previous publication. The analytic continuation can be performed in two ways, which are seen to be equivalent.

Sign in / Sign up

Export Citation Format

Share Document