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Dimensional deconstruction and Wess-Zumino-Witten terms
2005
Physical Review D
A new technique is developed for the derivation of the Wess-Zumino-Witten terms of gauged chiral lagrangians. We start in D=5 with a pure (mesonless) Yang-Mills theory, which includes relevant gauge field Chern-Simons terms. The theory is then compactified, and the effective D=4 lagrangian is derived using lattice techniques, or "deconstruction," where pseudoscalar mesons arise from the lattice Wilson links. This yields the WZW term with the correct Witten coefficient by way of a simple
doi:10.1103/physrevd.71.046002
fatcat:4ld3go5eorcqfpqqdxqxkxuxeq