Holography and the origin of anomalies

TL;DR

This paper explores how holography explains the origin of quantum anomalies and irreversibility, using the de Alfaro-Fubini-Furlan correspondence between quantum field theory and statistical mechanics, and discusses holographic mapping of string theory.

Contribution

It provides a novel explanation for quantum anomalies and irreversibility through holographic principles and outlines a holographic mapping of string field theory to quantum field theory.

Findings

Holography explains quantum anomalies and irreversibility.

The de Alfaro-Fubini-Furlan correspondence links quantum and classical theories.

Holographic mapping of string theory to quantum field theory is outlined.

Abstract

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.