Supersymmetric Extension of the Quantum Spherical Model

TL;DR

This paper develops a supersymmetric version of the quantum spherical model, analyzing its critical points and dimensions using path integral methods, and explores both short and long-range interactions.

Contribution

It introduces a supersymmetric extension of the quantum spherical model in both component and superspace formalisms, providing new insights into its critical behavior.

Findings

Identified critical points in the supersymmetric model

Determined critical dimensions for phase transitions

Analyzed short and long-range interaction effects

Abstract

In this work, we present a supersymmetric extension of the quantum spherical model, both in components and also in the superspace formalisms. We find the solution for short/long range interactions through the imaginary time formalism path integral approach. The existence of critical points (classical and quantum) is analyzed and the corresponding critical dimensions are determined.