TRANSFORMATION OF ABELIAN LATTICE GAUGE FIELD
Xu Zhong · Journal of Southwest China Normal University · 1987
We define gauge transformation of lattice gauge variable θμ(m), correspon-ding to continual Abelian gauge potential Aμ(x), to be θμ(m)→θμ'(m)=θμ(m) where Furthermore, we have proven exactly that another lattice gauge variable θμv(m), corresponding to continual Abelian gauge field tensor Fμv(x), or action S, possesses invariance under gauge transformation. Therein, ΔNμ(m) may be zero, may be an integer and may also be a half-integer. When ΔNμ(m) is zero, this paper coincides with Refferences [8,9]; when ΔNμ(m) is an integer, it coincides with Refference[10] . Besides, we have proven that θμv(m) or action S loses its invariance under Lorentz transformation. It recovered its invariance again when switched back to continual gauge theory.