Static Casimir Condensate of Conformal Scalar Field in Friedmann Universe
Andrej B. Arbuzov, Alexander E. Pavlov
TL;DR
This paper investigates the quantum Casimir condensate of a conformal scalar field in a static Friedmann universe, employing the Abel-Plana formula for renormalization and deriving a relation between energy density and condensate.
Contribution
It introduces a method to compute the Casimir condensate in a static Friedmann universe using the Abel-Plana formula and establishes a differential relation between energy density and condensate.
Findings
Renormalized the Casimir condensate using Abel-Plana formula.
Derived a differential relation between Casimir energy density and condensate.
Provided insights into quantum effects in a static Friedmann universe.
Abstract
The quantum Casimir condensate of a conformal massive scalar field in a compact Friedmann universe is considered in the static approximation. The Abel-Plana formula is used for renormalization of divergent series in the condensate calculation. A differential relation between the static Casimir energy density and static Casimir condensate is derived.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.