String and Brane Models with Spontaneously/Dynamically Induced Tension

TL;DR

This paper explores a novel class of string and brane models where tension is dynamically generated through a modified measure, leading to a natural mechanism for confinement without introducing explicit tension parameters.

Contribution

It introduces a new measure-based approach to string and brane models where tension arises dynamically, eliminating the need for ad hoc parameters.

Findings

Tension is identified as an effective electric field strength.

The models exhibit a classical confinement mechanism.

No explicit tension parameters are needed in the action.

Abstract

We study in some detail the properties of a previously proposed new class of string and brane models whose world-sheet (world-volume) actions are built with a modified reparametrization-invariant measure of integration and which do not contain any ad hoc dimensionfull parameters. The ratio of the new and the standard Riemannian integration measure densities plays the role of a dynamically generated string/brane tension. The latter is identified as (the magnitude of) an effective (non-Abelian) electric field-strength on the world-sheet/world-volume obeying the standard Gauss-law constraint. As a result a simple classical mechanism for confinement via strings is proposed.