The Vacuum Theta-Angle is Zero in Non-Abelian Gauge Theories

Details The Vacuum Theta-Angle is Zero in Non-Abelian Gauge Theories The Vacuum Theta-Angle is Zero in Non-Abelian Gauge Theories

1994-01-08

arxiv.org/abs/hep-ph/9401223v2

Phys.Lett. B328 (1994) 387-391

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, In the revised version an incorrect equation is removed. The argument which demonstrates that theta=0 is unchanged

Scientific paper

10.1016/0370-2693(94)91495-8

We argue that gauge transformations with arbitrary fractional winding numbers should be allowed in a non-Abelian gauge theory. This eliminates the topological distinction between large and small gauge transformations. We prove that the states which satisfy the Gauss's law constraint are strictly invariant under gauge transformations, i.e. no phase shift occurs. In other words, the vacuum theta-angle is zero. Our observation does not resolve the strong CP problem.

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