Perturbed Electroweak Strings and Fermion Zero Modes

Abstract

The effect of perturbations of electroweak strings on quark zero modes is studied in 2+1 and 3+1 dimensions. As first discovered by Naculich, it is found that the bosonic perturbations that destabilize the string give a mass to the zero modes and also lift their degeneracy. The effect of the zero modes on the stability of the string is discussed qualitatively and we argue that the fermionic vacuum instability found by Naculich should lead to a distortion of the bosonic string but not be responsible for decay.

17 pages + 1 figure; RevTeX

References in corpus (5)

• Detailed Stability Analysis of Electroweak Strings
• Fermions Destabilize Electroweak Strings
• Embedded Defects
• Stability of an electroweak string with a fermion condensate
• Fermions on the Electroweak String

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• Non-Abelian strings and domain walls in two Higgs doublet models
• Zero modes of fermions with general mass matrix
• Neutrino Zero Modes on Electroweak Strings
• The Dirac Sea Contribution To The Energy Of An Electroweak String
• Topological Defects in the Georgi-Machacek Model
• Fermion zero modes in N=2 supervortices
• Brane Realization of Nambu Monopoles and Electroweak Strings
• Electroweak strings with dark scalar condensates and their (in)stability
• Zero Modes of Massive Fermions Delocalize from Axion Strings
• Neutrino zeromodes on electroweak strings in light of topological insulators