Can an odd number of fermions be created due to chiral anomaly?

Abstract

We describe a possibility of creation of an odd number of fractionally charged fermions in 1+1 dimensional Abelian Higgs model. We point out that for 1+1 dimensions this process does not violate any symmetries of the theory, nor makes it mathematically inconsistent. We construct the proper definition of the fermionic determinant in this model and underline its non-trivial features that are of importance for realistic 3+1 dimensional models with fermion number violation.

arXiv comment12 pages revtex, 2 figures

References in corpus (3)

• One-loop corrections to the instanton transition in the two-dimensional Abelian Higgs model
• One-loop fermionic corrections to the instanton transition in two dimensional chiral Higgs model
• Manifestation of additional dimensions of space-time in mesoscopic systems

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