General Properties of Multiscalar RG Flows in $d=4-\varepsilon$

@article{Rychkov2019GeneralPO,
  title={General Properties of Multiscalar RG Flows in \$d=4-\varepsilon\$},
  author={S. Rychkov and A. Stergiou},
  journal={arXiv: High Energy Physics - Theory},
  year={2019},
  volume={6},
  pages={008}
}
  • S. Rychkov, A. Stergiou
  • Published 2019
  • Physics
  • arXiv: High Energy Physics - Theory
  • Fixed points of scalar field theories with quartic interactions in $d=4-\varepsilon$ dimensions are considered in full generality. For such theories it is known that there exists a scalar function $A$ of the couplings through which the leading-order beta-function can be expressed as a gradient. It is here proved that the fixed-point value of $A$ is bounded from below by a simple expression linear in the dimension of the vector order parameter, $N$. Saturation of the bound requires a marginal… CONTINUE READING

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