非可換トーラス上の格子ゲージ理論における 境界条件と非自明な指数の実現 壽崎 義明(筑波大&KEK) [西村淳氏(総研大&KEK)、青木一氏(佐賀大)との共同研究] Motivation Matrix model Chiral gauge theory? Noncommutativity of space-time? Model Gauge theory on a 2d NC torus with twisted b.c. Lattice regularization Twisted reduced model with nontrivial module Numerical result The distribution of the index of the Ginsparg-Wilson-Dirac operator A non-zero index at the quantum level in the continuum limit
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