Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Induced Connections in Field Theory: The Odd Dimensional Yang-Mills Case   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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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci