QUANTUM FIELD THEORY WITH VARYING COUPLINGS

Giuseppe Nardelli; Gianluca Calcagni

doi:10.1142/S0217751X14500122

QUANTUM FIELD THEORY WITH VARYING COUPLINGS

Giuseppe Nardelli
, Gianluca Calcagni

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

A quantum scalar field theory with spacetime-dependent coupling is studied. Surprisingly, while translation invariance is explicitly broken in the classical theory, momentum conservation is recovered at the quantum level for some specific choice of the coupling's profile for any finite-order perturbative expansion. For one of these cases, some tree and one-loop diagrams are calculated. This is an example of a theory where violation of Lorentz symmetry is not enhanced at the quantum level. We draw some consequences for the renormalization properties of certain classes of fractional field theories.

Original language	English
Pages (from-to)	N/A-N/A
Number of pages	12
Journal	International Journal of Modern Physics A
Volume	29
DOIs	https://doi.org/10.1142/S0217751X14500122
Publication status	Published - 2014

Keywords

varying couplings

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10.1142/S0217751X14500122

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abstract = "A quantum scalar field theory with spacetime-dependent coupling is studied. Surprisingly, while translation invariance is explicitly broken in the classical theory, momentum conservation is recovered at the quantum level for some specific choice of the coupling's profile for any finite-order perturbative expansion. For one of these cases, some tree and one-loop diagrams are calculated. This is an example of a theory where violation of Lorentz symmetry is not enhanced at the quantum level. We draw some consequences for the renormalization properties of certain classes of fractional field theories.",

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AB - A quantum scalar field theory with spacetime-dependent coupling is studied. Surprisingly, while translation invariance is explicitly broken in the classical theory, momentum conservation is recovered at the quantum level for some specific choice of the coupling's profile for any finite-order perturbative expansion. For one of these cases, some tree and one-loop diagrams are calculated. This is an example of a theory where violation of Lorentz symmetry is not enhanced at the quantum level. We draw some consequences for the renormalization properties of certain classes of fractional field theories.

KW - varying couplings

UR - http://hdl.handle.net/10807/62643

UR - http://www.worldscientific.com/doi/abs/10.1142/s0217751x14500122

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DO - 10.1142/S0217751X14500122

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VL - 29

SP - N/A-N/A

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

ER -

QUANTUM FIELD THEORY WITH VARYING COUPLINGS

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Keywords

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