Flow equation for the scalar model in the large $N$ expansion and its applications

  title={Flow equation for the scalar model in the large \$N\$ expansion and its applications},
  author={Sinya Aoki and J'anos Balog and Tetsuya Onogi and Peter Weisz},
  journal={arXiv: High Energy Physics - Theory},
We study the flow equation of the O($N$) $\varphi^4$ model in $d$ dimensions at the next-to-leading order (NLO) in the $1/N$ expansion. Using the Schwinger-Dyson equation, we derive 2-pt and 4-pt functions of flowed fields. As the first application of the NLO calculations, we study the running coupling defined from the connected 4-pt function of flowed fields in the $d+1$ dimensional theory. We show in particular that this running coupling has not only the UV fixed point but also an IR fixed… 

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