General features ofK + d interactions at 70 GeV/c

We are dealing with two-dimensional gravitational anomalies, specifically with the Einstein anomaly and the Weyl anomaly, and we show that they are fully determined by dispersion relations independent of any renormalization procedure (or ultraviolet regularization). The origin of the anomalies is the existence of a superconvergence sum rule for the imaginary part of the relevant formfactor. In the zero mass limit the imaginary part of the formfactor approaches a δ-function singularity at zero momentum squared, exhibiting in this way the infrared feature of the gravitational anomalies. We find an equivalence between the dispersive approach and the dimensional regularization procedure. The Schwinger terms appearing in the equal time commutators of the energy momentum tensors can be calculated by the same dispersive method. Although all computations are performed in two dimensions the method is expected to work in higher dimensions too. * This work was partly supported by Austria-Czech Republic Scientific collaboration, project KON-TACT 1999-8. † Supported by a Wissenschaftsstipendium der Magistratsabteilung 18 der Stadt Wien.

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Sýkora

1999

Czechoslovak Journal of Physics

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Two different approaches -Källen's and Brandt's methods -for calculation of the Schwinger terms in the 1+1 dimensional Abelian and nonAbelian free current algebras are discussed. These methods are applied to calculation of the single and double commutators. The validity of the Jacobi identities is examined in 1+1 and 3+1 dimensions and in this way is given natural restriction on the regularization. It is shown that the Jacobi identity cannot be broken in 1+1 dimensions even using the regularization which fails in the 3+1 dimensional case. A connection between the Schwinger term and anomaly is shown in the simplest case of the Schwinger model.

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General features ofK + d interactions at 70 GeV/c

Cited by 3 publications

References 26 publications

Consistent and Covariant Commutator Anomalies in the Chiral Schwinger Model

Consistent and Covariant Commutator Anomalies in the Chiral Schwinger Model

Two-Dimensional Gravitational Anomalies, Schwinger Terms, and Dispersion Relations

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