Large Gauge Ward Identity

Abstract

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 structure of the Ward identity changes since these are nonlinear identities. In particular, we work out the "large" gauge Ward identity for a supersymmetric theory involving a single flavor of fermion as well as a complex scalar field. Contrary to the effective action for the individual theories, the solution of the Ward identity in the supersymmetric theory involves an infinity of Fourier component modes. We comment on which features of this analysis are likely/unlikely to generalize to the 2+1 dimensional theory.

13pages

References in corpus (1)

• Non-static Dimensional Reduction of QED_3 at Finite Temperature

Cited by in corpus (6)

• Gauge invariant derivative expansion of the effective action at finite temperature and density and the scalar field in 2+1 dimensions
• Parity-violating electromagnetic interactions in QED_3 at finite temperature
• Two-loop corrections to the topological mass term in thermal QED_3
• Derivative Expansion and the Effective Action for the Abelian Chern-Simons Theory at Higher Orders
• Large Gauge Invariance in NonAbelian Finite Temperature Effective Actions
• Induced parity violating thermal effective action for (2+1)-dimensional fermions interacting with a non-Abelian background