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Charging the Walking U(N)$\times$U(N) Higgs Theory as a Complex CFT

High Energy Physics - Theory 2021-01-04 v1 High Energy Physics - Lattice High Energy Physics - Phenomenology

Abstract

We apply a semi-classical method to compute the conformal field theory (CFT) data for the U(N)xU(N) non-abelian Higgs theory in four minus epsilon dimensions at its complex fixed point. The theory features more than one coupling and walking dynamics. Given our charge configuration, we identify a family of corresponding operators and compute their scaling dimensions which remarkably agree with available results from conventional perturbation theory validating the use of the state-operator correspondence for a complex CFT.

Keywords

Cite

@article{arxiv.2006.10078,
  title  = {Charging the Walking U(N)$\times$U(N) Higgs Theory as a Complex CFT},
  author = {Oleg Antipin and Jahmall Bersini and Francesco Sannino and Zhi-Wei Wang and Chen Zhang},
  journal= {arXiv preprint arXiv:2006.10078},
  year   = {2021}
}

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7 pages