Is the chiral U(1) theory trivial?

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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4 pages, contribution to Lattice 2000 (Chiral Gauge Theories)

Scientific paper

10.1016/S0920-5632(01)00912-4

The chiral U(1) theory differs from the corresponding vector theory by an
imaginary contribution to the effective action which amounts to a phase factor
in the partition function. The vector theory, i.e. QED, is known to be trivial
in the continuum limit. It is argued that the presence of the phase factor will
not alter this result and the chiral theory is non-interacting as well.

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