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

Domenico Giulini
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Abstract

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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Domenico Giulini. 1994-05-26. Induced Connections in Field Theory: The Odd Dimensional Yang-Mills Case. https://arxiv.org/abs/hep-th/9406025

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