Abstract
We investigate the formulation of fermions in lattice gauge theories, in weak coupling perturbation theory. It is shown that a lattice fermion formulation without species doubling and with explicit continuous chiral symmetry is impossible. We interpret this as a manifestation of the triangle anomaly. Green functions and (axial) vector flavor currents in lattice QCD with Wilson fermions are studied. We show that in the (weak coupling) continuum limit the theory is equivalent to perturbative continuum QCD: chiral invariant and with the usual anomaly in the flavor singlet axial current.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
