FERMION DOUBLING ON A LATTICE AND TOPOLOGICAL ASPECTS OF CHIRAL ANOMALY

The problem of fermion doubling on a lattice has been discussed here f rom the specific geometrical properties of a lattice structure and top ological aspects of chiral anomaly, It is argued that there cannot be chiral anomaly on a lattice and as such there cannot be any conserved charge. This unveils the root cause of fermion doubling, and the unwan ted fermions just reflect the geometrical properties of a lattice and may be viewed as to represent the ''fictitious'' chiral spinors associ ated with the lattice structure which make chiral fermions anomaly fre e. (C) 1997 American Institute of Physics.