Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-11-04
Phys.Lett. B472 (2000) 332-340
Physics
High Energy Physics
High Energy Physics - Theory
13pages
Scientific paper
10.1016/S0370-2693(99)01458-6
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.
Das Ashok
Dunne Gerald
Frenkel Josif
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