Vacuum energies due to delta-like currents: simulating classical objects along branes with arbitrary codimensions

TL;DR

This paper studies vacuum energies in quantum field models interacting with static currents along branes of various codimensions, demonstrating simulations of charges, dipoles, and confining or anisotropic potentials in different dimensions.

Contribution

It introduces a method to simulate classical objects like charges and dipoles using delta-like currents along branes of arbitrary codimensions in quantum field theories.

Findings

Simulated static charges and dipoles in various dimensions.

Produced confining potentials with massless scalar fields.

Generated long-range anisotropic potentials.

Abstract

In this paper we investigate the vacuum energies of several models of quantum fields interacting with static external currents (linear couplings) concentrated along parallel branes with an arbitrary number of codimensions. We show that we can simulate the presence of static charges distributions as well as the presence of classical static dipoles in any dimension for massive and massless fields. We also show that we can produce confining potentials with massless self interacting scalar fields as well as long range anisotropic potentials.