TH Exceptional Seminar

Mass gap and Floer homology in large-N Yang-Mills

by Marco Bochicchio (INFN Rome - Italy)

4-3-006 - TH Conference Room (CERN)

4-3-006 - TH Conference Room


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We construct in large-N YM a Topological Field Theory defined by twistor Wilson loops, that are localized on the critical points of a quantum effective action by means of a new version of Morse-Smale-Floer homology. We compute a certain two-point correlator in the Topological Field Theory, that controls the mass gap of YM theory and is saturated by an infinite sum of pure poles of scalar and pseudoscalar glueballs. Besides, it satisfies asymptotically for large momentum fundamental universal constraints arising from the asymptotic freedom and the renormalization group. We predict the mass ratio of the lower-mass scalar glueballs r=m1/m0=1.4142…, to be compared with the measure by Meyer-Teper in SU(8) lattice YM r=1.42(11) and with the value implied by the Particle Data Group (2014): r=f0(2100)/f0(1500)=1.397(008).
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