Induced Connections in Field Theory: The Odd Dimensional Yang-Mills Case

Details Induced Connections in Field Theory: The Odd Dimensional Yang-Mills Case Induced Connections in Field Theory: The Odd Dimensional Yang-Mills Case

1994-05-26

arxiv.org/abs/hep-th/9406025v1

Int.J.Mod.Phys. A10 (1995) 1005-1018

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Plain Tex

Scientific paper

We consider SU(N) Yang-Mills theories in 2n+1 Euclidean dimensions coupled to an even flavour-number of Dirac fermions. After integrating out the fermions the wave functional for the effective Yang-Mills theory inherits a non-trivial U(1)-connection which is computed in the limit of infinite fermion mass (adiabatic connection). Its Chern-class turns out to be just half the flavour number. Its topological origin is explained in the Lagrangean and Hamiltonian picture.

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