Physics – Mathematical Physics
Scientific paper
2003-05-27
Physics
Mathematical Physics
LaTeX, 44 pages, typos corrected
Scientific paper
We 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.
Budczies Jan
Zirnbauer Martin R.
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