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Title: Quantization of nonlocal fractional field theories via the extension problem
Author: Frassino, Antonia M.
Panella O.
Keywords: Teoria quàntica de camps
Partícules (Matèria)
Cosmologia quàntica
Quantum field theory
Quantum cosmology
Issue Date: 10-Dec-2019
Publisher: American Physical Society
Abstract: 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.
Note: Reproducció del document publicat a:
It is part of: Physical Review D, 2019, vol. 100, num. 11, p. 116008
Related resource:
ISSN: 2470-0010
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)
Articles publicats en revistes (Institut de Ciències del Cosmos (ICCUB))

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