# Long range correlations in branched polymers

## TL;DR

This paper investigates correlation functions in branched polymers, revealing negative long-range correlations in the canonical ensemble, and suggests this mechanism explains observed correlations in 4d simplicial gravity.

## Contribution

It uncovers long-range correlations in branched polymers' canonical ensemble and links this to correlation behavior in 4d simplicial gravity.

## Key findings

- No correlations in grand canonical ensemble
- Negative long-range power-law correlations in canonical ensemble
- Mechanism explaining correlations in 4d simplicial gravity

## Abstract

We study the correlation functions in the branched polymer model. Although there are no correlations in the grand canonical ensemble, when looking at the canonical ensemble we find negative long range power like correlations. We propose that a similar mechanism explains the shape of recently measured correlation functions in the elongated phase of 4d simplicial gravity.