Quantum Fusion of Domain Walls with Fluxes

TL;DR

This paper investigates how fluxes on domain walls influence their quantum fusion, revealing that antiparallel fluxes can suppress fusion and stabilize walls, with explicit calculations in the small flux limit.

Contribution

It introduces the concept that fluxes on domain walls can modify quantum fusion, including a flux-induced stabilization mechanism not linked to conserved quantities.

Findings

Antiparallel fluxes increase binding energy and suppress fusion.

Explicit bounce solutions and fusion rates are derived for small fluxes.

A critical flux value can completely prevent quantum fusion.

Abstract

We study how fluxes on the domain wall world volume modify quantum fusion of two distant parallel domain walls into a composite wall. The elementary wall fluxes can be separated into parallel and antiparallel components. The parallel component affects neither the binding energy nor the process of quantum merger. The antiparallel fluxes, instead, increase the binding energy and, against naive expectations, suppress quantum fusion. In the small flux limit we explicitly find the bounce solution and the fusion rate as a function of the flux. We argue that at large (antiparallel) fluxes there exists a critical value of the flux (versus the difference in the wall tensions), which switches off quantum fusion altogether. This phenomenon of flux-related wall stabilization is rather peculiar: it is unrelated to any conserved quantity. Our consideration of the flux-related all stabilization is based on substantiated arguments that fall short of complete proof.