Tunneling of Born-Infeld Strings to D2-Branes

TL;DR

This paper analyzes how Born-Infeld strings can tunnel into D2-branes within a specific theoretical framework, exploring the conditions and nature of quantum transitions influenced by RR field strength.

Contribution

It derives general solutions for static and Euclidean equations in Born-Infeld theory with RR fields, and determines the nature of tunneling and phase transitions.

Findings

Bounce solutions' period enables analysis of tunneling and quantum transitions.

Order of transitions depends on RR field strength.

A criterion confirms the transition behaviors.

Abstract

A Born-Infeld theory describing a D2-brane coupled to a 4-form RR field strength is considered, and the general solutions of the static and Euclidean time equations are derived and discussed. The period of the bounce solutions is shown to allow a consideration of tunneling and quantum-classical transitions in the sphaleron region. The order of such transitions, depending on the strength of the RR field strength, is determined. A criterion is then derived to confirm these findings.