Fetching the paper…

Reading the bibliography…

Taming the $\epsilon$-expansion with Large Spin Perturbation Theory · Around

2017

Taming the $\epsilon$-expansion with Large Spin Perturbation Theory

Alday, Luis F., Henriksson, Johan, van Loon, Mark

Original
PDF
Post on X

Understand

We apply analytic bootstrap techniques to the four-point correlator of fundamental fields in the Wilson-Fisher model.

In an $\epsilon$-expansion crossing symmetry fixes the double discontinuity of the correlator in terms of CFT data at lower orders.
Large spin perturbation theory, or equivalently the recently proposed Froissart-Gribov inversion integral, then allows one to reconstruct the CFT data of intermediate operators of any spin.
We use this method to compute the anomalous dimensions and OPE coefficients of leading twist operators.

Built on

S. K. Kehrein and F. Wegner, The Structure of the spectrum of anomalous dimensions in the N-vector model in 4 − ϵ 4-\epsilon dimensions
1994
Earlier work this paper cites.
S. E. Derkachov, J. A. Gracey, and A. N. Manashov, Four loop anomalous dimensions of gradient operators in ϕ 4 \phi^{4} theory
1998
Earlier work this paper cites.
F. A. Dolan and H. Osborn, Conformal four point functions and the operator product expansion
2001
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, Comments on operators with large spin
Original
2007
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, Bounding scalar operator dimensions in 4D CFT
Original
2008
Earlier work this paper cites.
I. Heemskerk, J. Penedones, J. Polchinski, and J. Sully, Holography from Conformal Field Theory
Original
2009
Earlier work this paper cites.
S. Albino, Analytic Continuation of Harmonic Sums
Original
2009
Earlier work this paper cites.
A. L. Fitzpatrick, J. Kaplan, D. Poland, and D. Simmons-Duffin, The Analytic Bootstrap and AdS Superhorizon Locality
Original
2013
Earlier work this paper cites.
Z. Komargodski and A. Zhiboedov, Convexity and Liberation at Large Spin
Original
2013
Earlier work this paper cites.
L. F. Alday and A. Bissi, Higher-spin correlators
Original
2013
Earlier work this paper cites.
P. Liendo, L. Rastelli, and B. C. van Rees, The Bootstrap Program for Boundary CFT d
Original
2013
Earlier work this paper cites.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
Original
2014
Earlier work this paper cites.

Similar

L. F. Alday, A. Bissi, and T. Łukowski, Large spin systematics in CFT
Original
2015
Cited alongside, same era.
S. Rychkov and Z. M. Tan, The ϵ \epsilon -expansion from conformal field theory
Original
2015
Cited alongside, same era.
P. Basu and C. Krishnan, ϵ \epsilon -expansions near three dimensions from conformal field theory
Original
2015
Cited alongside, same era.
F. Kos, D. Poland, D. Simmons-Duffin, and A. Vichi, Precision Islands in the Ising and O ⁡ ( N ) O(N) Models
Original
2016
Cited alongside, same era.
L. F. Alday and A. Zhiboedov, An Algebraic Approach to the Analytic Bootstrap
Original

Then

P. Liendo, Revisiting the dilatation operator of the Wilson–Fisher fixed point
Original
2017
Closest in time.
R. Gopakumar, A. Kaviraj, K. Sen, and A. Sinha, Conformal Bootstrap in Mellin Space
Original
2017
Closest in time.
R. Gopakumar, A. Kaviraj, K. Sen, and A. Sinha, A Mellin space approach to the conformal bootstrap
Original
2017
Closest in time.
P. Dey, A. Kaviraj, and A. Sinha, Mellin space bootstrap for global symmetry
Original
2017
Closest in time.
A. N. Manashov, E. D. Skvortsov, and M. Strohmaier, Higher spin currents in the critical O ⁡ ( N ) O(N) vector model at 1 / N 2 1/N^{2}
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2017

Cited alongside, same era.

L. F. Alday, Large Spin Perturbation Theory for Conformal Field Theories

2017

Cited alongside, same era.

L. F. Alday, Solving CFTs with Weakly Broken Higher Spin Symmetry

2017

Cited alongside, same era.

D. Simmons-Duffin, The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT

2017

Cited alongside, same era.

J. Qiao and S. Rychkov, A tauberian theorem for the conformal bootstrap

2017

Cited alongside, same era.

S. Caron-Huot, Analyticity in Spin in Conformal Theories

2017

Cited alongside, same era.

F. Gliozzi, A. Guerrieri, A. C. Petkou, and C. Wen, Generalized Wilson-Fisher Critical Points from the Conformal Operator Product Expansion

2017

Cited alongside, same era.

K. Roumpedakis, Leading Order Anomalous Dimensions at the Wilson-Fisher Fixed Point from CFT

2017

Cited alongside, same era.

2017

Closest in time.

F. Gliozzi, Anomalous dimensions of spinning operators from conformal symmetry

2018

Closest in time.

P. Dey, K. Ghosh, and A. Sinha, Simplifying large spin bootstrap in Mellin space

2018

Closest in time.

P. Dey and A. Kaviraj, Towards a Bootstrap approach to higher orders of epsilon expansion

2018

Closest in time.

J. Henriksson and T. Łukowski, Perturbative Four-Point Functions from the Analytic Conformal Bootstrap

2018

Closest in time.

M. van Loon, The Analytic Bootstrap in Fermionic CFTs

2018

Closest in time.

V. G. Charan and S. Prakash, On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit

2018

Closest in time.

A. Codello, M. Safari, G. P. Vacca, and O. Zanusso, Functional perturbative RG and CFT data in the ϵ \epsilon -expansion

2018

Closest in time.