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SUMMARY:Dimensional Transmutation and Confinement in Various Models - Igor
  Klebanov (Princeton University)
DTSTART:20250925T090000Z
DTEND:20250925T110000Z
UID:TALK236626@talks.cam.ac.uk
DESCRIPTION:The talk will begin with a brief review of Quantum Chromodynam
 ics (QCD) and the Confinement problem. Lattice Gauge Theory (LGT) provides
  a non-perturbative formulation of QCD\, which has led to good numerical r
 esults for the low-lying hadron spectra. Yet\, an analytical understanding
  of QCD is not available. The 1+1 dimensional gauge theories have served a
 s useful models of quark confinement. I will revisit the classic Schwinger
  model and its lattice Hamiltonian formulation. A mass shift between the l
 attice and continuum definitions of mass\, which is motivated by the anoma
 lous chiral symmetry\, is shown to lead to improved results. I will also p
 resent the zero-temperature phase diagram of the two-flavor Schwinger mode
 l at theta=pi\, which exhibits dimensional transmutation and spontaneous b
 reaking of charge conjugation. Finally\, I will discuss the 2D SU(N) gauge
  theory coupled to an adjoint multiplet of Majorana fermions. This model h
 as a rich topological structure. I will introduce a Hamiltonian lattice ap
 proach to this gauge theory\, in which one can compute the spectrum\, the 
 string tension\, and other observables. The talk will end with some surpri
 sing exact results for this model.
LOCATION:Seminar Room 2\, Newton Institute
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