Discrete time heat kernel and UV modified propagators with dimensional deconstruction

Abstract We revisit the dimensionally deconstructed scalar quantum electrodynamics and consider the (Euclidean) propagator of the scalar field in the model. Although we have previously investigated the one-loop effect in this model by obtaining the usual heat kernel trace, we adopt discrete proper-t...

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Published inJournal of physics. A, Mathematical and theoretical Vol. 56; no. 24; pp. 245401 - 245416
Main Authors Kan, Nahomi, Shiraishi, Kiyoshi
Format Journal Article
LanguageEnglish
Published IOP Publishing 16.06.2023
Subjects
deconstruction
discretization
heat kernel
propagator
UV divergence
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Summary:Abstract We revisit the dimensionally deconstructed scalar quantum electrodynamics and consider the (Euclidean) propagator of the scalar field in the model. Although we have previously investigated the one-loop effect in this model by obtaining the usual heat kernel trace, we adopt discrete proper-time heat kernels in this paper and aim to construct the modified propagator, which has improved behaviors in the ultraviolet region, by changing the range of sum of the discrete heat kernels.
Bibliography:JPhysA-119048
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/acd488