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

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

2005-12-13

arxiv.org/abs/hep-th/0512143v1

Phys.Rev.D73:045008,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages revtex, 2 figures

Scientific paper

10.1103/PhysRevD.73.045008

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.

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