A Mellin space approach to the conformal bootstrap

Y.L. Luke, “The Special Functions and Their Approximations,” Vol. I–II’, Academic Press, New York, 1969

Original

1969

Earlier work this paper cites.

A. M. Polyakov, “Conformal symmetry of critical fluctuations,” JETP Lett. 12

1970

Earlier work this paper cites.

S. Ferrara, A. F. Grillo, G. Parisi and R. Gatto, “Covariant expansion of the conformal four-point function,” Nucl. Phys. B 49

1973

Earlier work this paper cites.

A. M. Polyakov, “Nonhamiltonian approach to conformal quantum field theory,” Zh. Eksp. Teor. Fiz. 66

1974

Earlier work this paper cites.

O. F. de Alcantara Bonfim, J. E. Kirkham and A. J. McKane, “Critical Exponents to Order ϵ 3 \epsilon^{3} for ϕ 3 \phi^{3} Models of Critical Phenomena in Six ϵ \epsilon -dimensions,” J. Phys. A 13

1980

Earlier work this paper cites.

S. J. Hathrell, “Trace Anomalies and λ ​ ϕ 4 \lambda\phi^{4} Theory in Curved Space,” Annals Phys. 139

1982

Earlier work this paper cites.

K. G. Wilson and M. E. Fisher, “Critical exponents in 3.99 dimensions,” Phys. Rev. Lett. 28

1983

Earlier work this paper cites.

A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, “Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory,” Nucl. Phys. B 241

1984

Earlier work this paper cites.

I. Jack and H. Osborn, “Background Field Calculations in Curved Space-time. 1. General Formalism and Application to Scalar Fields,” Nucl. Phys. B 234

1984

Earlier work this paper cites.

H. Kleinert, J. Neu, V. Schulte-Frohlinde, K. G. Chetyrkin and S. A. Larin, Phys. Lett. B 272

1993

Earlier work this paper cites.

S. K. Kehrein, F. Wegner and Y. Pismak, “ Conformal symmetry and the spectrum of anomalous dimensions in the N vector model in four epsilon dimensions,” Nucl.Phys. B402

1995

Earlier work this paper cites.

A. Petkou, “Conserved currents, consistency relations and operator product expansions in the conformally invariant O(N) vector model,” Annals Phys. 249

1996

Earlier work this paper cites.

S. E. Derkachov, J. A. Gracey and A. N. Manashov, “Four loop anomalous dimensions of gradient operators in phi**4 theory,” Eur. Phys. J. C 2

1998

Earlier work this paper cites.

H. Liu, “Scattering in anti-de Sitter space and operator product expansion,” Phys. Rev. D 60

1999

Earlier work this paper cites.

G. E. Andrews, R. Askey and R Roy, “Special functions,” Cambridge University Press, 1999

1999

Earlier work this paper cites.

E. D’Hoker, S. D. Mathur, A. Matusis and L. Rastelli, “The Operator product expansion of N=4 SYM and the 4 point functions of supergravity,” Nucl. Phys. B 589

2000

Cited alongside, same era.

K. G. Wilson and J. B. Kogut, “The Renormalization group and the epsilon expansion,” Phys.Rept. 12

2001

Cited alongside, same era.

F. A. Dolan and H. Osborn, “Conformal partial waves and operator product expansion,” Nucl. Phys. B678

2001

Cited alongside, same era.

H. Kleinert, J. Neu, V. Schulte-Frohlinde, K. G. Chetrykin and S. A. Larin, “Five loop renormalization group functions of O(n) symmetric phi**4 theory and epsilon expansions of critical exponents up to epsilon**5,” Phys.Lett. B272

2001

Cited alongside, same era.

R. Rattazzi, V. S. Rychkov, E. Tonni and A. Vichi, “Bounding Scalar operator dimensions in 4D CFT,” JHEP 0812

2008

M. S. Costa, V. Goncalves, J. Penedones, “Spinning AdS Propagators,” JHEP 1409

2014

Later among the works it cites.

S. El-Showk, M. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin and A. Vichi, “Conformal Field Theories in Fractional Dimensions,” Phys. Rev. Lett. 112

Original

2014

Later among the works it cites.

L. Fei, S. Giombi and I. Klebanov, “Critical O ⁡ ( N ) O(N) models in 6 − ϵ 6-\epsilon dimensions,” Phys.Rev. D90

Original

2014

Later among the works it cites.

A. Liam Fitzpatrick, J. Kaplan, M. T. Walters and J. Wang, “Eikonalization of conformal blocks,” JHEP 1509

Original

2015

Later among the works it cites.

L. F. Alday, A. Bissi and T. Lukowski, “Large spin systematics in CFT,” arXiv:1502.07707 [hep-th]. A. Kaviraj, K. Sen and A. Sinha, “Analytic bootstrap at large spin,” JHEP 1511