Radial coordinates for conformal blocks

@inproceedings{Hogervorst2013RadialCF,
  title={Radial coordinates for conformal blocks},
  author={Matthijs Hogervorst and Slava Rychkov},
  year={2013}
}
We develop the theory of conformal blocks in CFTd expressing them as power series with Gegenbauer polynomial coefficients. Such series have a clear physical meaning when the conformal block is analyzed in radial quantization: individual terms describe contributions of descendants of a given spin. Convergence of these series can be optimized by a judicious choice of the radial quantization origin. We argue that the best choice is to insert the operators symmetrically. We analyze in detail the… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-8 of 8 references

https://sites.google.com/site/slavarychkov/ home. RADIAL COORDINATES FOR CONFORMAL

  • S. Rychkov
  • BLOCKS PHYSICAL REVIEW D 87,
  • 2013
1 Excerpt

A 44

  • R. Rattazzi, S. Rychkov, A. Vichi, J. Phys
  • 035402
  • 2011

J

  • I. Heemskerk, J. Penedones, J. Polchinski, J. Sully
  • High Energy Phys. 10
  • 2009

Phys

  • V. S. Rychkov, A. Vichi
  • Rev. D 80, 045006
  • 2009

Nuovo Cimento Soc

  • S. Ferrara, A. F. Grillo, R. Gatto, G. Parisi
  • Ital. Fis. 19A, 667
  • 1974

Zh

  • A. M. Polyakov
  • Eksp. Teor. Fiz. 66, 23
  • 1974

Nucl

  • S. Ferrara, A. F. Grillo, G. Parisi, R. Gatto
  • Phys. B49, 77
  • 1972

Introduction to Fourier Analysis on Euclidean Spaces (Princeton

  • E. Stein, G. Weiss
  • 1971

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