An action for chiral lattice fermions is proposed, which avoids the Nielsen-Ninomiya theorem by virtue of its nonlocality and nonbilinearity. The action is constructed by eliminating the extra fermion modes with a gauge-violating Majorana-type Wilson mass, which is then rendered invariant by an integration over gauge transformations. The free propagator is calculated, and the one-loop vacuum polarization is shown to be identical to that for Wilson fermions, even at nonzero lattice spacing. Also the chiral anomaly is shown to be the same as for Wilson fermions in the continuum limit.
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High Energy Accelerator Res Org KEK, Tsukuba, Ibaraki 3050801, Japan
Grad Univ Adv Studies Sokendai, Sch High Energy Accelerator Sci, Tsukuba, Ibaraki 3050801, JapanKyoto Univ, Ctr Gravitat Phys, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
Hashimoto, S.
Kaneko, T.
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High Energy Accelerator Res Org KEK, Tsukuba, Ibaraki 3050801, Japan
Grad Univ Adv Studies Sokendai, Sch High Energy Accelerator Sci, Tsukuba, Ibaraki 3050801, JapanKyoto Univ, Ctr Gravitat Phys, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
Kaneko, T.
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Rohrhofer, C.
Suzuki, K.
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Japan Atom Energy Agcy JAEA, Adv Sci Res Ctr, Tokai, Ibaraki 3191195, JapanKyoto Univ, Ctr Gravitat Phys, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan