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About the Yukawa model on a lattice in the quenched approximation

Abstract : We study the Yukawa model on a 4-dimensional Euclidean lattice in the quenched approximation. A particular attention is given to the singularities of the Dirac operator in the phase diagram. A careful analysis of a particular limiting case shows that size effects can be huge, questioning the quenched approximation. This is confirmed by a Monte-Carlo simulation in this limit case and without the quenched approximation. We include also some results concerning the symmetries of this model.
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http://hal.in2p3.fr/in2p3-00657698
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Submitted on : Tuesday, January 11, 2022 - 1:30:38 PM
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F. de Soto, Jean-Christian Anglès d'Auriac. About the Yukawa model on a lattice in the quenched approximation. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2012, 85, pp.041121. ⟨10.1103/PhysRevE.85.041121⟩. ⟨in2p3-00657698⟩

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