2026-04-14T00:49:08Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/1707142025-12-05T16:42:22Zcom_2072_1057col_2072_478823col_2072_478904col_2072_478917
RECERCAT
author
Frassino, Antonia M.
author
Panella O.
2020-09-21T17:34:35Z2020-09-21T17:34:35Z2019-12-102020-09-21T11:25:48Z
We use the extension problem proposed by Caffarelli and Silvestre to study the quantization of a scalar nonlocal quantum field theory built out of the fractional Laplacian. We show that the quantum behavior of such a nonlocal field theory in d dimensions can be described in terms of a local action in d + 1 dimensions which can be quantized using the canonical operator formalism though giving up local commutativity. In particular, we discuss how to obtain the two-point correlation functions and the vacuum energy density of the nonlocal fractional theory as a brane limit of the bulk correlators. We show explicitly how the quantized extension problem reproduces exactly the same particle content of other approaches based on the spectral representation of the fractional propagator. We also briefly discuss the inverse fractional Laplacian and possible applications of this approach in general relativity and cosmology.
(c) American Physical Society, 2019 info:eu-repo/semantics/openAccess
Teoria quàntica de camps
Partícules (Matèria)
Cosmologia quàntica
Quantum field theory
Particles
Quantum cosmology
Quantization of nonlocal fractional field theories via the extension problem
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion