# Condensation of interacting scalar bosons at finite temperatures

## TL;DR

This paper investigates the thermodynamics of interacting scalar bosons at finite temperatures, revealing a first-order phase transition and scalar condensate formation within a specific temperature range using a mean-field approach.

## Contribution

It introduces a field-theoretical model with both attractive and repulsive interactions, demonstrating the conditions for phase transition and scalar condensate formation.

## Key findings

- First-order phase transition occurs with strong attractive interaction.
- Scalar condensate appears within a finite temperature interval.
- Condensed phase has a constant scalar density.

## Abstract

Thermodynamical properties of an interacting system of scalar bosons at finite temperatures are studied within the framework of a field-theoretical model containing the attractive and repulsive self-interaction terms. Self-consistency relations between the effective mass and thermodynamic functions are derived in the mean-field approximation. We show that for a sufficiently strong attractive interaction a first-order phase transition develops in the system via the formation of a scalar condensate. An interesting prediction of this model is that the condensed phase appears within a finite temperature interval and is characterized by a constant scalar density of Bose particles.