Holography and the origin of anomalies

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX 2.09, 10 pages, 1 figure, and 1 table; erroneous title of the last version is corrected. references are added

Scientific paper

10.1016/S0370-2693(00)01075-3

The holographic principle is represented as the well-known de Alfaro, Fubini and Furlan correspondence between the generating functional for the Green functions of the Euclidean quantum field theory in $D$ dimensions and the Gibbs average for the classical statistical mechanics in $D+1$ dimensions. This correspondence is used to explain the origin of quantum anomalies and the irreversibility in the classical theory. The holographic mapping of a classical string field theory onto a local quantum field theory is outlined.

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