Arpan Chatterjee

Exact Lattice Identities and Continuum-Limit Dyson--Schwinger Equations for Yang-Mills Theory

Starting from SU(N) on the lattice, we give a rigorous derivation of the Dyson--Schwinger equations in the continuum limit. We formulate the Dyson--Schwinger identities for the lattice Yang--Mills theory directly in terms of the link variables $U_\mu(m)\in SU(N)$, exploiting the invariance of the Haar measure under lef...