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Is Yang-Mills Theory Unitary in Fractional Spacetime Dimensions?
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We present concrete evidence that Yang-Mills theory exhibits non-unitarity in non-integer spacetime dimensions. This violation of unitarity stems from evanescent operators that, while vanishing in four dimensions, are non-zero in general d dimensions. We demonstrate that these evanescent operators lead to the emergence of both negative-norm states and complex anomalous dimensions.
Forward citations
Cited by 2 Pith papers
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Disturbing news about the $d=2+\epsilon$ expansion
A protected operator forces the O(N) nonlinear sigma model fixed point in 2+epsilon dimensions to be a different CFT family from the Wilson-Fisher O(N) fixed point for finite N.
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Non-Hermitian Structure and Exceptional Points in Yang-Mills Theory from Analytic Continuation of Nc
Analytic continuation of Nc in Yang-Mills theory produces non-Hermitian operator spectra with exceptional points, PT-phase transitions, and topological monodromy.
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