Studying a relativistic field theory at finite chemical potential with the density matrix renormalization group

TL;DR

This paper applies the density matrix renormalization group to a relativistic scalar field at finite chemical potential, analyzing bulk properties and discussing methodological limitations and potential applications.

Contribution

It demonstrates the use of DMRG for relativistic bosonic fields at finite chemical potential and discusses its technical challenges and future applications.

Findings

Bulk quantities remain unchanged until the chemical potential exceeds the minimum excitation energy.

The study highlights the limitations of DMRG in relativistic bosonic field theories.

Potential applications to other models and solitons are proposed.

Abstract

The density matrix renormalization group is applied to a relativistic complex scalar field at finite chemical potential. The two-point function and various bulk quantities are studied. It is seen that bulk quantities do not change with the chemical potential until it is larger than the minimum excitation energy. The technical limitations of the density matrix renormalization group for treating bosons in relativistic field theories are discussed. Applications to other relativistic models and to nontopological solitons are also suggested.