Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-11-17
Class.Quant.Grav.12:1165-1180,1995
Physics
High Energy Physics
High Energy Physics - Theory
Latex File, 19 pages
Scientific paper
10.1088/0264-9381/12/5/008
Using a cohomological characterization of the consistent and the covariant Lorentz and gauge anomalies, derived from the complexification of the relevant algebras, we study in $d=2$ the definition of the Weyl determinant for a non-abelian theory with Riemannian background. We obtain two second order operators that produce, by means of $\zeta$-function regularization, respectively the consistent and the covariant Lorentz and gauge anomalies, preserving diffeomorphism invariance. We compute exactly their functional determinants and the W-Z-W terms: the ``consistent'' determinant agrees with the non-abelian generalization of the classical Leutwyler's result, while the ``covariant'' one gives rise to a covariant version of the usual Wess-Zumino-Witten action.
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