Is Yang-Mills Theory Unitary in Fractional Spacetime Dimensions?
High Energy Physics - Theory
2024-05-24 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2301.01786,
title = {Is Yang-Mills Theory Unitary in Fractional Spacetime Dimensions?},
author = {Qingjun Jin and Ke Ren and Gang Yang and Rui Yu},
journal= {arXiv preprint arXiv:2301.01786},
year = {2024}
}
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6 pages