Discrete time heat kernel and UV modified propagators with Dimensional Deconstruction

TL;DR

This paper explores a discrete proper-time heat kernel approach in dimensionally deconstructed scalar QED to develop UV-modified propagators with better high-energy behavior.

Contribution

It introduces a novel discrete proper-time heat kernel method to construct UV-improved propagators in dimensionally deconstructed scalar QED.

Findings

Constructed UV-modified propagators with improved ultraviolet behavior.

Demonstrated the effectiveness of discrete heat kernels in quantum field theory.

Provided insights into the impact of dimensional deconstruction on propagator properties.

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.