Exact beta function from the holographic loop equation of large-N QCD_4

dc.creatorBochicchio, Marco
dc.date2007-05-01
dc.date2007-06-08
dc.date.accessioned2026-07-07T13:06:27Z
dc.date.available2026-07-07T13:06:27Z
dc.descriptionWe construct and study a previously defined quantum holographic effective action whose critical equation implies the holographic loop equation of large-N QCD_4 for planar self-avoiding loops in a certain regularization scheme. We extract from the effective action the exact beta function in the given scheme. For the Wilsonean coupling constant the beta function is exacly one loop and the first coefficient agrees with its value in perturbation theory. For the canonical coupling constant the exact beta function has a NSVZ form and the first two coefficients agree with their value in perturbation theory.
dc.description42 pages, latex. The exponent of the Vandermonde determinant in the quantum effective action has been changed, because it has been employed a holomorphic rather than a hermitean resolution of identity in the functional integral. Beta function unchanged. New explanations and references added, typos corrected
dc.identifierhttps://arxiv.org/abs/0705.0082
dc.identifierhttp://arxiv.org/abs/0705.0082
dc.identifierJHEP 0709:033,2007
dc.identifierdoi:10.1088/1126-6708/2007/09/033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227785
dc.subjectHigh Energy Physics - Theory
dc.titleExact beta function from the holographic loop equation of large-N QCD_4
dc.typetext

Files

Collections