Lagrangian Approach to O(2N) Model with $\theta$-deformed Target Space

TL;DR

This paper develops a Lagrangian framework to compute the free energy of an O(2N) model with a noncommutative (θ-deformed) target space at finite temperature, providing insights into quantum field theories with deformed geometries.

Contribution

It introduces a novel Lagrangian method to analyze the thermodynamics of O(2N) models with θ-deformed target spaces, extending traditional approaches to noncommutative geometries.

Findings

Derived the free energy expression for the θ-deformed O(2N) model.

Demonstrated the impact of target space deformation on thermodynamic properties.

Provided a foundation for studying noncommutative effects in quantum field theories.

Abstract

We use the lagrangian approach to derive the free energy of a O(2N) model with $\theta$-deformed target space at finite temperature.