QCD β -function on the string worldsheet

-function on the string worldsheet},
  author={Sergei Dubovsky},
  journal={Physical Review D},
  • S. Dubovsky
  • Published 30 June 2018
  • Physics
  • Physical Review D
We consider confining strings in pure gluodynamics and its extensions with adjoint (s)quarks. We argue that there is a direct map between the set of bulk fields and the worldsheet degrees of freedom. This suggests a close link between the worldsheet $S$-matrix and parton scattering amplitudes. We report an amusing relation between the Polchinski--Strominger amplitude responsible for the breakdown of integrability on the string worldsheet and the Yang--Mills $\beta$-function \[ b_0={D_{cr}-D_{ph… 

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