Renormalization group approach to zero temperature Bose condensation

TL;DR

This paper applies a renormalization group framework to zero temperature Bose condensation, revealing asymptotic freedom and superfluid behavior through analysis of correlation functions.

Contribution

It introduces a renormalization group approach to explain the Bogoliubov approximation in zero temperature Bose condensation.

Findings

Demonstrates asymptotic freedom in the correlation functions

Shows anomalous superfluid behavior in the two-point correlation

Provides a new theoretical perspective on Bose condensation at zero temperature

Abstract

The paper contains some preliminary results about the problem of Bose condensation at zero temperature. It is shown that the usual picture of three dimensional Bose condensation, the so called Bogoliubov approximation, can be explained in terms of a renormalization group flow, showing asymptotic freedom and anomalous (superfluid) behaviour of the two point correlation, at least order by order in the running coupling constants.