scholarly journals Vacuum energy of a massive scalar field in the presence of a semi-transparent cylinder

2000 ◽  
Vol 33 (32) ◽  
pp. 5707-5718 ◽  
Author(s):  
Marco Scandurra
2004 ◽  
Vol 19 (02) ◽  
pp. 111-116 ◽  
Author(s):  
E. ELIZALDE ◽  
A. C. TORT

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.


2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Parul Jain ◽  
S. Mahesh Chandran ◽  
S. Shankaranarayanan

2003 ◽  
Vol 33 (4) ◽  
pp. 860-866 ◽  
Author(s):  
A.C. Aguiar Pinto ◽  
T.M. Britto ◽  
R. Bunchaft ◽  
F. Pascoal ◽  
F.S.S. da Rosa

2009 ◽  
Author(s):  
D. Georgieva ◽  
I. Stefanov ◽  
M. Todorov ◽  
S. Yazadjiev ◽  
Michail D. Todorov ◽  
...  

2011 ◽  
Vol 03 ◽  
pp. 375-385
Author(s):  
V. M. GORKAVENKO ◽  
YU. A. SITENKO ◽  
O. B. STEPANOV

We consider the effect of the magnetic field background in the form of a tube of the finite transverse size on the vacuum of the quantized charged massive scalar field which is subject to the Dirichlet boundary condition at the edge of the tube. The vacuum energy is induced, being periodic in the value of the magnetic flux enclosed in the tube. The dependence of the vacuum energy density on the distance from the tube and on the coupling to the space-time curvature scalar is comprehensively analyzed.


2009 ◽  
Vol 677 (3-4) ◽  
pp. 186-189 ◽  
Author(s):  
Jieci Wang ◽  
Qiyuan Pan ◽  
Songbai Chen ◽  
Jiliang Jing

Sign in / Sign up

Export Citation Format

Share Document