Abstract
The perturbation theory for a color-quark gauge theory on a spatial lattice is developed in time-dependent form. Graphical rules are suggested. These methods are then applied to study the nature of the symmetry exhibited when the bare-quark-mass term is zero. Investigation of the quark proper self-energy leads to the conclusion that the symmetry is realized in the Nambu-Goldstone mode. A Bethe-Salpeter equation for the proper vertex is solved in the ladder approximation, and shown to exhibit zero-mass poles.
- Received 7 August 1975
DOI:https://doi.org/10.1103/PhysRevD.13.3342
©1976 American Physical Society