# Critical behavior of the correlation function of three-dimensional O(N) models in the symmetric phase

## TL;DR

This study investigates the critical behavior of the correlation function in three-dimensional O(N) models, revealing Gaussian behavior at low momentum across all N, supported by strong-coupling series and large-N analysis.

## Contribution

The paper provides new strong-coupling series data and demonstrates Gaussian behavior of the correlation function in the symmetric phase for all N.

## Key findings

- Correlation function is essentially Gaussian at low momentum for all N
- Strong-coupling series analysis supports Gaussian behavior
- Large-N analysis confirms the results

## Abstract

We present new strong-coupling series for O(N) spin models in three dimensions, on the cubic and diamond lattices. We analyze these series to investigate the two-point Green's function G(x) in the critical region of the symmetric phase. This analysis shows that the low-momentum behavior of G(x) is essentially Gaussian for all N from zero to infinity. This result is also supported by a large-N analysis.