# A Born-Infeld Scalar and a Dynamical Violation of the Scale Invariance from the Modified Measure Action

## TL;DR

This paper introduces a modified measure action with two scalar fields, deriving a Born-Infeld dynamics sector and demonstrating a dynamical violation of scale invariance, leading to nonconservation of scale charge despite conserved dilatation current.

## Contribution

It presents a novel modified measure action framework that yields a Born-Infeld scalar sector and shows dynamical scale invariance breaking with conserved dilatation current.

## Key findings

- Derived a Born-Infeld scalar field dynamics from the modified measure action.
- Showed dynamical breaking of scale invariance and nonconservation of scale charge.
- Identified the conservation of the dilatation current despite scale invariance breaking.

## Abstract

Starting with a simple two scalar field system coupled to a modified measure that is independent of the metric, we, first, find a Born-Infeld dynamics sector of the theory for a scalar field and second, show that the initial scale invariance of the action is dynamically broken and leads to a scale charge nonconservation, although there is still a conserved dilatation current.