Lattice regularization of gauge theories without loss of chiral symmetry

A lattice regularization procedure for gauge theories is studied in which fermions are given a special treatment such that all chiral flavor symmetries that are free of Adler-Bell-Jackiw anomalies are kept intact. There is no doubling of fermionic degrees of freedom. A price paid for this feature is that the number of fermionic degrees of freedom per unit cell is still infinite, since they live in a continuum. In this paper finiteness of the complete functional integrals is proven (details are further outlined in an Appendix). Although perhaps of limited usefulness for numerical simulations, this scheme can be applied for studying aspects such as analytic convergence questions, spontaneous symmetry breakdown and baryon number violation in non-Abelian gauge theories.