Ward Identity as Exact Transport Equation

Transverse Ward - Takahashi Identity , Anomaly and Schwinger - Dyson Equation ∗

Based on the path integral formalism, we rederive and extend the transverse Ward-Takahashi identities (which were first derived by Yasushi Takahashi) for the vector and the axial vector currents and simultaneously discuss the possible anomaly for them. Subsequently, we propose a new scheme for writing down and solving the Schwinger-Dyson equation in which the the transverse Ward-Takahashi ident...

Large Gauge Ward Identity

We study the question of the Ward identity for “large” gauge invariance in 0+1 dimensional theories. We derive the relevant Ward identities for a single flavor fermion and a single flavor complex scalar field interacting with an Abelian gauge field. These identities are nonlinear. The Ward identity for any other complicated theory can be derived from these basic sets of identities. However, the...

The Master Ward Identity andGeneralized

Exact lattice Ward - Takahashi identity for the N = 1 Wess - Zumino model

We consider a lattice formulation of the four dimensional N = 1 Wess-Zumino model that uses the Ginsparg-Wilson relation. This formulation has an exact supersymmetry on the lattice. We show that the corresponding Ward-Takahashi identity is satisfied, both at fixed lattice spacing and in the continuum limit. The calculation is performed in lattice perturbation theory up to order g in the couplin...

5 Exact Ward - Takahashi identity for the lattice N = 1 Wess - Zumino model

Abstract. The lattice Wess-Zumino model written in terms of the Ginsparg-Wilson relation is invariant under a generalized supersymmetry transformation which is determined by an iterative procedure in the coupling constant. By studying the associated Ward-Takahashi identity up to order g we show that this lattice supersymmetry automatically leads to restoration of continuum supersymmetry without...