Wodzicki residue and anomalies of current algebras

Details Wodzicki residue and anomalies of current algebras Wodzicki residue and anomalies of current algebras

1994-04-15

arxiv.org/abs/hep-th/9404093v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, updated version of a talk at the Baltic School in Field Theory, September 1993

Scientific paper

10.1007/3-540-58453-6_7

The commutator anomalies (Schwinger terms) of current algebras in $3+1$ dimensions are computed in terms of the Wodzicki residue of pseudodifferential operators; the result can be written as a (twisted) Radul 2-cocycle for the Lie algebra of PSDO's. The construction of the (second quantized) current algebra is closely related to a geometric renormalization of the interaction Hamiltonian $H_I=j_{\mu} A^{\mu}$ in gauge theory.

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