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Complex Probability Distributions: A Solution for the Long-Standing Problem of QCD at Finite Density

We show how the prescription of taking the absolute value of the fermion determinant in the integration measure of QCD at finite density, forgetting its phase, reproduces the correct thermodynamical limit. This prescription, which applies also to other gauge theories with non-positive-definite integ...

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Autor principal: Azcoiti, Vicente
Lenguaje:eng
Publicado: 1996
Materias:
Acceso en línea:http://cds.cern.ch/record/307743
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author Azcoiti, Vicente
author_facet Azcoiti, Vicente
author_sort Azcoiti, Vicente
collection CERN
description We show how the prescription of taking the absolute value of the fermion determinant in the integration measure of QCD at finite density, forgetting its phase, reproduces the correct thermodynamical limit. This prescription, which applies also to other gauge theories with non-positive-definite integration measure, also has the advantage of killing finite size effects due to extremely small mean values of the cosine of the phase of the fermion determinant. We also give an explanation for the pathological behaviour of quenched QCD at finite density.
id cern-307743
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
record_format invenio
spelling cern-3077432023-03-14T17:18:03Zhttp://cds.cern.ch/record/307743engAzcoiti, VicenteComplex Probability Distributions: A Solution for the Long-Standing Problem of QCD at Finite DensityParticle Physics - LatticeWe show how the prescription of taking the absolute value of the fermion determinant in the integration measure of QCD at finite density, forgetting its phase, reproduces the correct thermodynamical limit. This prescription, which applies also to other gauge theories with non-positive-definite integration measure, also has the advantage of killing finite size effects due to extremely small mean values of the cosine of the phase of the fermion determinant. We also give an explanation for the pathological behaviour of quenched QCD at finite density.We show how the prescription of taking the absolute value of the fermion determinant in the integration measure of QCD at finite density, forgetting its phase, reproduces the correct thermodynamical limit. This prescription, which applies also to other gauge theories with non-positive-definite integration measure, also has the advantage of killing finite size effects due to extremely small mean values of the cosine of the phase of the fermion determinant. We also give an explanation for the pathological behaviour of quenched QCD at finite density.hep-lat/9607071CERN-TH-96-194CERN-TH-96-194oai:cds.cern.ch:3077431996-07-29
spellingShingle Particle Physics - Lattice
Azcoiti, Vicente
Complex Probability Distributions: A Solution for the Long-Standing Problem of QCD at Finite Density
title Complex Probability Distributions: A Solution for the Long-Standing Problem of QCD at Finite Density
title_full Complex Probability Distributions: A Solution for the Long-Standing Problem of QCD at Finite Density
title_fullStr Complex Probability Distributions: A Solution for the Long-Standing Problem of QCD at Finite Density
title_full_unstemmed Complex Probability Distributions: A Solution for the Long-Standing Problem of QCD at Finite Density
title_short Complex Probability Distributions: A Solution for the Long-Standing Problem of QCD at Finite Density
title_sort complex probability distributions: a solution for the long-standing problem of qcd at finite density
topic Particle Physics - Lattice
url http://cds.cern.ch/record/307743
work_keys_str_mv AT azcoitivicente complexprobabilitydistributionsasolutionforthelongstandingproblemofqcdatfinitedensity