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Solving loop equations by Hitchin systems via holography in large-NQCD4
2003
Journal of High Energy Physics
For (planar) closed self-avoiding loops we construct a "holographic" map from the loop equations of large-N QCD_4 to an effective action defined over infinite rank Hitchin bundles. The effective action is constructed densely embedding Hitchin systems into the functional integral of a partially quenched or twisted Eguchi-Kawai model, by means of the resolution of identity into the gauge orbits of the microcanonical ensemble and by changing variables from the moduli fields of Hitchin systems to
doi:10.1088/1126-6708/2003/06/026
fatcat:q7sgylwvznhlzmpwwcjfviowpy