Summary
A path integral for fermions is constructed involving a second-order wave operator. It allows a definition of fermions on the lattice which, at least in the noninteracting case is free from spurious states.
References
H. B. Nielsen andM. Ninomiya:Nucl. Phys. B,185, 20 (1981);193, 173 (1981).
R. P. Feynman andM. Gell-Mann:Phys. Rev.,109, 193 (1958).
T. W. B. Kibble andJ. C. Polkinghorne:Nuovo Cimento,8, 74 (1958).
C. Rebbi:Phys. Lett. B,186., 200 (186).
M. Campostrini, G. Curci andA. Pelissetto:Phys. Lett. B,193, 279 (1987);G. T. Bodwin andE. V. Kovacs:Phys. Lett. B,193, 283 (1987).
T. Banks andA. Casher:Nucl. Phys. B,169, 103 (1980).
A. C. Longhitano andB. Svetitsky:Phys. Lett. B,126, 259 (1983).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Palumbo, F. Second-order formalism for fermions and lattice regularization. Nuov Cim A 104, 1851–1854 (1991). https://doi.org/10.1007/BF02812500
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02812500