Mathematical Derivation of Chiral Anomaly in Lattice Gauge Theory with Wilson’s Action
نویسندگان
چکیده
Chiral U(1) anomaly is derived with mathematical rigor for a Euclidean fermion coupled to a smooth external U(1) gauge field on an even dimensional torus as a continuum limit of lattice regularized fermion field theory with the Wilson term in the action. The present work rigorously proves for the first time that the Wilson term correctly reproduces the chiral anomaly. Running title: Mathematical Derivation of Chiral Anomaly
منابع مشابه
Perfect lattice actions with and without chiral symmetry
We use perturbation theory to construct perfect lattice actions for fermions and gauge fields by blocking directly from the continuum. When one uses a renormalization group transformation that preserves chiral symmetry the resulting lattice action for massless fermions is chirally symmetric but nonlocal. When the renormalization group transformation breaks chiral symmetry the lattice action bec...
متن کاملLattice Fermions and the Chiral Anomaly
We show in the Wilson model that the contribution of the regular mass term to the four-divergence of the axial vector current in weak coupling perturbation theory is not zero in the chiral limit and precisely is the axial anomaly. Explicit breaking of chiral symmetry in the Wilson term is not relevant for the result. The ABJ anomaly is generated by the fermion mass term also with a chirally sym...
متن کاملManifestly Gauge Covariant Treatment of Lattice Chiral Fermion
We propose a lattice formulation of the chiral fermion which maximally respects the gauge symmetry and simultaneously is free of the unwanted species doublers. This is achieved by directly dealing with the lattice fermion propagator and the composite operators, rather than the lattice action and the fermionic determinant. The latter is defined as a functional integral of the expectation value o...
متن کاملGauge Invariant Effective Action in Abelian Chiral Gauge Theory on the Lattice
Lüscher’s recent formulation of Abelian chiral gauge theories on the lattice, in the vacuum (or perturbative) sector in infinite volume, is reinterpreted in terms of the lattice covariant regularization. The gauge invariance of the effective action and the integrability of the gauge current in anomaly-free cases become transparent. The real part of the effective action is simply one-half that o...
متن کاملManifestly Gauge Covariant Treatment of Lattice Chiral Fermions II
We propose a new formulation of chiral fermions on a lattice, on the basis of a lattice extension of the covariant regularization scheme in continuum field theory. The species doublers do not emerge. The real part of the effective action is just one half of that of Dirac-Wilson fermion and is always gauge invariant even with a finite lattice spacing. The gauge invariance of the imaginary part, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997