Howe Duality for an Induced Model of Lattice U(N) Yang-Mills Theory

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dc.creatorBudczies, J.
dc.creatorZirnbauer, M. R.
dc.date2003-05-27
dc.date2003-08-15
dc.date.accessioned2026-07-07T04:30:13Z
dc.date.available2026-07-07T04:30:13Z
dc.descriptionWe propose an approach that views U(N_c) Yang-Mills theory as the critical point of an induced gauge model on the lattice. Similar recent proposals based on the color-flavor transformation rely on taking the limit of an infinite number of infinitely heavy particles. In contrast, we couple a finite number N_b of auxiliary boson flavors to the gauge field and argue that Yang-Mills theory is induced when N_b exceeds N_c and the boson mass is lowered to a critical point. Using the notion of Howe duality we transform the induced gauge model to a dual formulation in terms of local gauge invariant variables. In the abelian case the Howe duality transform turns out to coincide with the standard one, taking weakly coupled U(1)_{d=4} to strongly coupled Z_{d=4} lattice gauge theory.
dc.descriptionLaTeX, 44 pages, typos corrected
dc.identifierhttps://arxiv.org/abs/math-ph/0305058
dc.identifierhttp://arxiv.org/abs/math-ph/0305058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57397
dc.subjectMathematical Physics
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.titleHowe Duality for an Induced Model of Lattice U(N) Yang-Mills Theory
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