Magnetic Bion Condensation: A New Mechanism ofConfinement and Mass Gap in Four Dimensions

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In recent work, we derived the long distance confining dynamics of certain QCD-like gauge theories formulated on small S{sup 1} x R{sup 3} based on symmetries, an index theorem and abelian duality. Here, we give the microscopic derivation. The solution reveals a new mechanism of confinement in QCD(adj) in the regime where we have control over both perturbative and nonperturbative aspects. In particular, consider SU(2) QCD(adj) theory with 1 {le} n{sub f} {le} 4 Majorana fermions, a theory which undergoes gauge symmetry breaking at small S{sup 1}. If the magnetic charge of the BPS monopole is normalized to unity, we ... continued below

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32 pages

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Unsal, Mithat & /SLAC /Stanford U., Phys. Dept. September 25, 2007.

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In recent work, we derived the long distance confining dynamics of certain QCD-like gauge theories formulated on small S{sup 1} x R{sup 3} based on symmetries, an index theorem and abelian duality. Here, we give the microscopic derivation. The solution reveals a new mechanism of confinement in QCD(adj) in the regime where we have control over both perturbative and nonperturbative aspects. In particular, consider SU(2) QCD(adj) theory with 1 {le} n{sub f} {le} 4 Majorana fermions, a theory which undergoes gauge symmetry breaking at small S{sup 1}. If the magnetic charge of the BPS monopole is normalized to unity, we show that confinement occurs due to condensation of objects with magnetic charge 2, not 1. Due to index theorems, we know that such an object cannot be a two identical monopole configuration. Its net topological charge must vanish, and hence it must be topologically indistinguishable from the perturbative vacuum. We construct such objects, the magnetically charged, topologically null molecules of a BPS monopole and {bar K}{bar K} antimonopole, which we refer as magnetic bions. An immediate puzzle with this proposal is the apparent Coulomb repulsion between BPS-{bar K}{bar K} pair. An attraction which overcomes the Coulomb repulsion between the two is induced by 2n{sub f} -fermion exchange. Bion condensation is also the mechanism of confinement in N = 1 SYM on the same four-manifold. The SU(N) generalization hints a possible hidden integrability behind nonsupersymmetric QCD of affine Toda type, and allows us to analytically compute the string tensions and thicknesses. We currently do not know the extension to R{sup 4}.

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32 pages

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  • Journal Name: Physical Review D

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  • Report No.: SLAC-PUB-12825
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 916977
  • Archival Resource Key: ark:/67531/metadc884887

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  • September 25, 2007

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  • Sept. 22, 2016, 2:13 a.m.

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  • Dec. 7, 2016, 4:49 p.m.

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Unsal, Mithat & /SLAC /Stanford U., Phys. Dept. Magnetic Bion Condensation: A New Mechanism ofConfinement and Mass Gap in Four Dimensions, article, September 25, 2007; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc884887/: accessed December 12, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.