U(1) gauge-coupled Dirac equation and massless (QED)2 on a finite element |
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| Authors: | Toyoki Matsuyama |
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| Affiliation: | Department of Physics, Hokkaido University, Sapporo 060, Japan |
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| Abstract: | Toward the construction of the gauge theory on a lattice without species doubling, we formulate the U(1) gauge-coupled Dirac equation on a finite element in (d + 1)-dimensional space-time. For massless (QED)2, we derive the vector current conservation and the axial anomaly. The reproduction of the axial anomaly indicates the resolution of the doubling problem. |
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