Vacuum Theta Angle is Zero in Non-Abelian Gauge Thoeries

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 -angle is zero.Our observation does not resolve the strong CP problem.

Publication Details

Journal
OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
Published
2024-09-16
Primary Topic
Advanced Numerical Analysis Techniques
Type
article

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article

Vacuum Theta Angle is Zero in Non-Abelian Gauge Thoeries

OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
Advanced Numerical Analysis Techniques
article

Vacuum Theta Angle is Zero in Non-Abelian Gauge Thoeries

article en

Abstract

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 -angle is zero.Our observation does not resolve the strong CP problem.

OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
U.S. Department of Energy
Advanced Numerical Analysis Techniques
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Vacuum Theta Angle is Zero in Non-Abelian Gauge Thoeries · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (2024) | TGRS Research Map | TGRS