1995/03/10 by Stephen D. H. Hsu, Hsu, Stephen D. H.
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #FOS: Physical sciences #Geophysics and Gravity Measurements #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.hep-th/9503058
openalex publication_date 1995/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a nonperturbative formulation of chiral gauge theories. The method involves a `pre-regulation' of the gauge fields, which may be implemented on a lattice, followed by a computation of the chiral fermion determinant in the form of a functional integral which is regularized in the continuum. Our result for the chiral determinant is expressed in terms of the vector-like Dirac operator and hence can be realized in lattice simulations. We investigate the local and global anomalies within our regularization scheme. We also compare our result for the chiral determinant to previous exact ζ-function results. Finally, we use a symmetry property of the chiral determinant to show that the partition function for a chiral gauge theory is real.