Perturbation Theory for Slac Lattice Fermions
نویسنده
چکیده
I study a class of lattice versions of QED with fermions with the aim of clarifying the relationship between the fermion spectrum (doubled or not), continuous chiral symmetry, the range of the lattice interactions, and the validity of perturbation theory. Theories of this class with an undoubled spectrum, such as the SLAC formulation, have infiniterange interactions and infrared-divergent perturbation series. The infrared singularities can be removed by a resummation of the series. I then carry out a renormalization program for SLAC QED after which the a -t 0 limit of the theory is finite and coincides with continuum QED. Finally, I consider the nonperturbative structure of SLAC QED. Submitted to Physical Review D * Work supported by the Department of Energy, contract DE-AC03-76SF00515.
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