Article
Version 2
Preserved in Portico This version is not peer-reviewed
On Virtual Scalar Fields in a Conformally Flat FLRW Spacetime
Version 1
: Received: 27 July 2022 / Approved: 2 August 2022 / Online: 2 August 2022 (09:23:33 CEST)
Version 2 : Received: 11 October 2022 / Approved: 12 October 2022 / Online: 12 October 2022 (10:13:17 CEST)
Version 2 : Received: 11 October 2022 / Approved: 12 October 2022 / Online: 12 October 2022 (10:13:17 CEST)
A peer-reviewed article of this Preprint also exists.
Eide, A. C. (2022), On virtual scalar fields in a conformally flat FLRW spacetime, J Math Techniques Comput Math, 1(2), 129-132. Eide, A. C. (2022), On virtual scalar fields in a conformally flat FLRW spacetime, J Math Techniques Comput Math, 1(2), 129-132.
Abstract
The case of a virtual bosonic scalar field phi(x) gravitationally coupled in a conformally flat spacetime is investigated. The action S is known to be Weyl invariant only for specific expressions of the potential V(phi). In the conformally flat FLRW case the harmonic angular frequency omega_k(eta) becomes uniquely temporally independent. Therefore any inertial observers embedded in a conformally flat FLRW spacetime all agree on the choice of virtual vacuum states. We postulate that the wavenumber k must be quantized in order to be able to regulate the vev by zeta regularization. Some fundamental implications of this result is derived, and likely conclusions drawn.
Keywords
QFT in conformally flat spacetimes; zeta regularization; holography; FLRW
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (1)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
Commenter: Adrian Casado Eide
Commenter's Conflict of Interests: Author
The article is more rigorous, stylistic and compact.