Corpus ID: 221949217

Constraints on beta functions in field theories

@article{Ma2020ConstraintsOB,
  title={Constraints on beta functions in field theories},
  author={Han Ma and Sung-Sik Lee},
  journal={arXiv: High Energy Physics - Theory},
  year={2020}
}
The $\beta$-functions describe how couplings run under the renormalization group flow in field theories. In general, all couplings allowed by symmetry and locality are generated under the renormalization group flow, and the exact renormalization group flow takes place in the infinite dimensional space of couplings. In this paper, we show that the renormalization group flow is highly constrained so that the $\beta$-functions defined in a measure zero subspace of couplings completely determine… Expand

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