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Updated: May 21, 2026
07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Yukawa model on a lattice in the quenched approximation
Feliciano de Soto1, Jean-Christian Anglès d'Auriac
1Departamento Sistemas Físicos, Químicos y Naturales, U. Pablo de Olavide, 41013 Sevilla, Spain. fcsotbor@upo.es
Summary
The quenched approximation in the Yukawa model may be inaccurate due to significant finite volume effects. Numerical simulations confirm these effects, questioning the approximation
Area of Science:
- Lattice Quantum Field Theory
- Disordered Statistical Mechanics
Background:
- The Yukawa model is studied using the quenched approximation on a four-dimensional Euclidean lattice.
- Disordered statistical mechanics models are relevant in various physics domains.
Purpose of the Study:
- Investigate the Yukawa model within the quenched approximation.
- Analyze singularities of the Dirac operator in the phase diagram.
- Evaluate the impact of finite volume effects and question the quenched approximation.
Main Methods:
- Theoretical analysis of the Yukawa model in the quenched approximation.
- Examination of Dirac operator singularities.
- Analysis of a specific limiting case to study finite volume effects.
- Numerical simulations in the limiting case, both with and without the quenched approximation.
Main Results:
- Singularities of the Dirac operator were studied in the phase diagram.
- A limiting case analysis revealed potentially large finite volume effects.
- Numerical simulations confirmed the significant impact of finite volume effects.
- The quenched approximation was found to be questionable in this context.
Conclusions:
- Finite volume effects can be substantial in the Yukawa model.
- The validity of the quenched approximation is challenged by these finite volume effects.
- Further investigation is needed to understand the limitations of the quenched approximation in lattice field theory.
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