Fermion Modes in Instanton-Anti-Instanton Background in (1+0)-dimensional Model

Details Fermion Modes in Instanton-Anti-Instanton Background in (1+0)-dimensional Model Fermion Modes in Instanton-Anti-Instanton Background in (1+0)-dimensional Model

1994-02-16

arxiv.org/abs/hep-ph/9402296v1

Prog.Theor.Phys. 91 (1994) 171-176

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 7 pages 7 figures available on request, UT-658

Scientific paper

10.1143/PTP.91.171

We evaluate the eigenvalues of Dirac operator in the background of instanton-anti-instanton configuration (I-$\bar{{\rm I}}$), in a simple (1+0)-dimensional model, and find that quasi-zero-mode disappears for the closely localized I-$\bar{{\rm I}}$ configurations. This result suggests that the configurations which are dominant at high energy in the valley method are actually non-anomalous ones and irrelevant to fermion number violation. Hence, there seems to be no theoretical basis for expecting anomalous cross section to become observable at energies of 10 Tev region in Weinberg-Salam theory.

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