UV finiteness of 3D Yang-Mills theories with a regulating mass in the Landau gauge

نویسنده

  • D. Dudal
چکیده

enforces the Landau gauge ∂μA a μ = 0. b a is the Lagrange multiplier and c, c are the ghost and antighost fields. The covariant derivative in the adjoint representation is given by D μ = δ ∂μ − gf Aμ . (4) For d = 3, the coupling g becomes a dimensional quantity itself. As a consequence, the three-dimensional YangMills theory (1) is superrenormalizable. Such theories exhibit serious problems in the infrared sector, as extensively

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تاریخ انتشار 2006