Twisted local systems solve the (holographic) loop equation of large-NQCD4 | Zendy

Marco Bochicchio | Zendy

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Twisted local systems solve the (holographic) loop equation of large-NQCD₄

Author(s) -

Marco Bochicchio

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/06/042

Subject(s) - conformal map , quantum chromodynamics , holography , physics , cusp (singularity) , loop (graph theory) , planar , mathematical physics , complex plane , renormalization , conformal anomaly , plane (geometry) , effective action , action (physics) , mathematical analysis , quantum electrodynamics , mathematics , conformal symmetry , quantum mechanics , geometry , combinatorics , computer graphics (images) , computer science

We construct a holographic map from the loop equation of large-N QCD in d=2and d=4, for planar self-avoiding loops, to the critical equation of anequivalent effective action. The holographic map is based on two ingredients:an already proposed holographic form of the loop equation, such that thequantum contribution is reduced to a regularized residue; a new conformal mapfrom the region encircled by the based loop to a cuspidal fundamental domain inthe upper half-plane, such that the regularized residue vanishes at the cusp.As a check, we study the first coefficient of the beta function and that partof the second coefficient which arises from the rescaling anomaly, in passingfrom the Wilsonian to the canonically normalised (holographic) effectiveaction.Comment: 42 pages, latex; abstract shortened and a reference added as suggested by the referee; typos in Eq.(72,76,77,82,83,84) correcte

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