Fermion zero-modes of a new constrained instanton in Yang-Mills-Higgs theory

Details Fermion zero-modes of a new constrained instanton in Yang-Mills-Higgs theory Fermion zero-modes of a new constrained instanton in Yang-Mills-Higgs theory

1997-09-26

arxiv.org/abs/hep-th/9709194v5

Nucl.Phys. B517 (1998) 142-160

Physics

High Energy Physics

High Energy Physics - Theory

Version to be published, changes in last two sections. 20 pages LaTeX Final version.

Scientific paper

10.1016/S0550-3213(97)00828-6

Self-consistent Ansaetze are presented for the left- and right-handed isodoublet fermion zero-modes of the constrained instanton Istar in the vacuum sector of euclidean SU(2) Yang-Mills-Higgs theory. These left- and right-handed fermion wave functions do not coincide and, most likely, have maxima at different positions. This may be important for the fermion zero-mode contribution to the euclidean 4-point Green's function in chiral Yang-Mills-Higgs theory and the high-energy behaviour of fermion-fermion scattering processes.

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