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of Dynamical Degrees of Freedom in the Large-<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:mi>N</mml:mi></mml:math>Gauge Theory"}],"description":[{"notation":[{"@value":"It is pointed out that the factorization of disconnected Wilson loop amplitudes implies a major reduction in the dynamical degrees of freedom in the large-$N$ limit of lattice gauge theory; the original model may be replaced by a much simpler one ($d$ is the space-time dimensionality), $Z=\\ensuremath{\\Pi}\\stackrel{}{\\ensuremath{\\mu}}[\\ensuremath{\\int} d {U}_{\\ensuremath{\\mu}}\\mathrm{exp}({\\ensuremath{\\beta}}_{\\ensuremath{\\nu}\\ensuremath{\\ne}}\\ensuremath{\\Sigma}\\stackrel{d}{\\ensuremath{\\mu}\\ensuremath{\\ne}\\ensuremath{\\nu}=1}\\mathrm{tr}{U}_{\\ensuremath{\\mu}}{U}_{v}{{U}_{\\ensuremath{\\mu}}}^{\\ifmmode\\dagger\\else\\textdagger\\fi{}}{{U}_{\\ensuremath{\\nu}}}^{\\ifmmode\\dagger\\else\\textdagger\\fi{}})]$ Thus the field theory may be reduced to an integration over a finite number of matrices in large-$N$ limit."}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1383670318891307008","@type":"Researcher","foaf:name":[{"@value":"Tohru Eguchi"}]},{"@id":"https://cir.nii.ac.jp/crid/1383670318891306880","@type":"Researcher","foaf:name":[{"@value":"Hikaru Kawai"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"00319007"},{"@type":"PISSN","@value":"http://id.crossref.org/issn/10797114"}],"prism:publicationName":[{"@value":"Physical Review Letters"}],"dc:publisher":[{"@value":"American Physical Society 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