The Entropy Bound for Local Quantum Field Theory

TL;DR

This paper establishes that local quantum field theories, both bosonic and fermionic, are limited by an entropy bound proportional to the boundary area raised to the 3/4 power, aligning with the holographic principle.

Contribution

It demonstrates a universal entropy bound for local quantum fields in flat spacetime, extending previous results to include fermionic fields and verifying the gap with holographic entropy.

Findings

Both bosonic and fermionic fields are limited by the same $A^{3/4}$ entropy bound.

The entropy bound is consistent with the non-gravitational collapse condition.

The gap between this bound and holographic entropy is confirmed.

Abstract

We investigate the entropy bound for local quantum field theory in this paper. Both the bosonic and fermionic fields confined to an asymptotically flat spacetime are examined. By imposing the non-gravitational collapse condition, we find both of them are limited by the same entropy bound $A^{3/4}$, where $A$ is the boundary area of the region where the quantum fields are contained in. The gap between this entropy bound and the holographic entropy has been verified.