Dynamics of Carrollian Scalar Fields

TL;DR

This paper explores the dynamics of scalar fields in Carrollian physics, revealing that their actions combine electric and magnetic components, leading to non-trivial motion even for single particles with energy.

Contribution

It introduces a novel intrinsic Carrollian framework for scalar fields, showing their actions are a mix of electric and magnetic types derived from relativistic limits.

Findings

Scalar fields in Carrollian physics have combined electric and magnetic actions.

Single particles with energy can exhibit non-trivial dynamics in Carrollian regime.

The approach provides new insights into Carrollian scalar field behavior.

Abstract

Adopting an intrinsic Carrollian viewpoint, we show that the generic Carrollian scalar field action is a combination of electric and magnetic actions, found in the literature by taking the Carrollian limit of the relativistic scalar field. This leads to non-trivial dynamics: even a single particle with non-vanishing energy can move in Carrollian physics.