Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-03-06
Phys.Rev. D65 (2002) 065003
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, 2 figures, RevTex, matches version published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.65.065003
We analyze zero energy solutions of the Dirac equation in the background of a string-like configuration in an extension of the standard model which accommodates the most general fermionic mass matrix for neutrinos. If either the left- or the right-handed Majorana mass vanishes, neutrino and electron zero modes are found to exist. If the harmonic mean of the neutrino Majorana masses is large compared to the Dirac mass, we can prove that normalizable neutrino zero modes cease to exist. This leads to an odd number of fermionic zero modes -- namely, only the electron zero mode -- which we argue implies that the bosonic background is in a topologically distinct sector from the vacuum. This is confirmed by noting that the bosonic sector of the model involves the breaking of a global U(1) symmetry and hence possesses topological global U(1) strings.
Starkman Glenn
Stojkovic Dejan
Vachaspati Tanmay
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