Kronecker anomalies and gravitational striction

TL;DR

This paper investigates quantum field theories with discontinuous degrees of freedom in momentum space, introducing the concept of Kronecker anomalies that result in non-local effects and variable coupling constants.

Contribution

It introduces the concept of Kronecker anomalies in quantum field theories and explores their implications for non-local effective actions and self-tuning couplings.

Findings

Discontinuous degrees of freedom lead to non-local effective actions.

Kronecker anomalies can be modeled as theories with random, self-tuning couplings.

The study provides a framework for understanding anomalies in quantum field theories.

Abstract

We study quantum field theories in which the number of degrees of freedom changes discontinuously across the momentum space. This discontinuity which we call "Kronecker anomaly" leads to non-local effective actions and can be represented as a theory with the random, self-tuning coupling constants.