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The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: Strongly associating fluids and biased Monte Carlo

2009/07/31 by Olivier Wantz · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Field (mathematics) #Grand canonical ensemble #Instanton #Mathematical physics #Mathematics #Monte Carlo method #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum Monte Carlo #Quark #Statistical physics #Theoretical physics #Topology (electrical circuits) #hep-lat #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2009.12.006

published as Nucl.Phys.B829:91-109,2010 · 23 pages, 14 figures. As accepted by Nucl.Phys.B

openalex publication_date 2009/12/12 · arxiv created 2010/01/14 · arxiv updated 2010/02/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

This is the second in a series of papers that investigates the topological susceptibility in the interacting instanton liquid model (IILM) at finite temperature, and deals with the technical issues relating to the Monte Carlo simulations. The IILM reduces field theory to a molecular dynamics description, and for `physical' quark masses the system behaves like a strongly associating fluid. We will argue that this is a generic feature for very light Dirac quark in a non-trivial background, described in the semi-classical approach. To get rid of unnecessary complications, we will present the ideas of biased Monte Carlo, and implement the transition probabilities, for a toy model.

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