Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-10-25
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 1 figure, talk presented at Lattice 2011, Lake Tahoe, CA
Scientific paper
Topological excitations in the QCD vacuum take the form of coherent codimension one sheets with positive and negative sheets juxtaposed in a dipole layer. These sheets may be interpreted as Luscher's "Wilson bags," which are domain walls between discrete quasivacua labelled by a local value of the $\theta$ parameter equal to $2\pi k$, with $k$ given by the number of units of background Ramond-Ramond flux. This picture of the vacuum is closely analogous to Coleman's description of the 2D massive Schwinger model, where $\theta$ is interpreted as a background electric field, and a pointlike charged particle is a domain wall between vacua which differ by one unit of background electric flux. The main effect of the Ramond-Ramond U(1) field in low energy QCD dynamics is the generation of phenomenologically important contact terms: (1) The dominant contact term in the topological charge correlator which leads to positive topological susceptibility, (2) The $\eta'$ mass insertion, and (3) An $SU(N_f)\times SU(N_f)$ invariant Nambu-Jona Lasinio 4-quark interaction.
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