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Updated: May 18, 2026
07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Supersymmetric extension of the quantum spherical model
Pedro R S Gomes1, P F Bienzobaz, M Gomes
1Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970, São Paulo, SP, Brazil. pedrorsg@fma.if.usp.br
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
Summary
We introduce a supersymmetric quantum spherical model, solving for interactions using path integrals. Critical points and dimensions are analyzed for this quantum model.
Area of Science:
- Theoretical Physics
- Quantum Mechanics
- Supersymmetry
Background:
- The quantum spherical model is a fundamental model in statistical mechanics.
- Supersymmetry offers a framework to unify particles and forces.
Purpose of the Study:
- To develop a supersymmetric extension of the quantum spherical model.
- To analyze solutions for both short- and long-range interactions.
- To determine critical points and dimensions within this extended model.
Main Methods:
- Utilizing component and superspace formalisms.
- Employing the imaginary time formalism path integral approach.
- Analyzing classical and quantum critical points.
Main Results:
- Obtained solutions for short- and long-range interactions.
- Identified the existence of classical and quantum critical points.
- Determined the corresponding critical dimensions.
Conclusions:
- The supersymmetric quantum spherical model provides a unified framework for studying interactions.
- The methods used successfully determine critical phenomena in quantum systems.
- This work extends the applicability of the spherical model to supersymmetric theories.
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