Fermion condensation under rotation on anti-de Sitter space
Victor E. Ambrus
TL;DR
This paper investigates how fermion condensates behave under rotation in anti-de Sitter space, deriving exact expressions for local and total condensates using the point splitting method.
Contribution
It provides the first exact derivation of fermion condensates in rotating anti-de Sitter space, including boundary effects.
Findings
Fermion condensate remains finite in adS even for massless fermions.
Explicit formulas for local and total fermion condensates are obtained.
Boundary effects significantly influence the condensate behavior.
Abstract
Due to the local curvature, the fermion condensate (FC) for a free Dirac field on anti-de Sitter (adS) space becomes finite, even in the massless limit. Employing the point splitting method using an exact expression for the Feynman two-point function, an experssion for the local FC is derived. Integrating this expression, we report the total FC in the adS volume and on its boundary.
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.