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Spinning conformal correlators

- Miguel S. Costa, J. Penedones, David Poland, S. Rychkov
- Physics
- 18 July 2011

A bstractWe develop the embedding formalism for conformal field theories, aimed at doing computations with symmetric traceless operators of arbitrary spin. We use an indexfree notation where tensors… Expand

Spinning conformal blocks

- Miguel S. Costa, J. Penedones, David Poland, S. Rychkov
- Physics
- 28 September 2011

A bstractFor conformal field theories in arbitrary dimensions, we introduce a method to derive the conformal blocks corresponding to the exchange of a traceless symmetric tensor appearing in four… Expand

OPE Convergence in Conformal Field Theory

- D. Pappadopulo, S. Rychkov, J. Espin, R. Rattazzi
- Physics, Mathematics
- 31 August 2012

We clarify questions related to the convergence of the OPE and conformal block decomposition in unitary Conformal Field Theories (for any number of spacetime dimensions). In particular, we explain… Expand

Solving the 3D Ising Model with the Conformal Bootstrap

- S. El-Showk, M. Paulos, David Poland, S. Rychkov, D. Simmons-Duffin, A. Vichi
- Physics
- 27 March 2012

We study the constraints of crossing symmetry and unitarity in general 3D conformal field theories. In doing so we derive new results for conformal blocks appearing in four-point functions of scalars… Expand

Radial Coordinates for Conformal Blocks

- Matthijs Hogervorst, S. Rychkov
- Physics
- 5 March 2013

We develop the theory of conformal blocks in CFT_d expressing them as power series with Gegenbauer polynomial coefficients. Such series have a clear physical meaning when the conformal block is… Expand

The-Expansion from Conformal Field Theory

- S. Rychkov, Zhong Tan
- 2015

Conformal multiplets of φ and φ3 recombine at the Wilson-Fisher fixed point, as a consequence of the equations of motion. Using this fact and other constraints from conformal symmetry, we reproduce… Expand

Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$c-Minimization and Precise Critical Exponents

- S. El-Showk, M. Paulos, David Poland, S. Rychkov, D. Simmons-Duffin, A. Vichi
- Physics, Mathematics
- 18 March 2014

We use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central charge $$c$$c in… Expand

Walking, weak first-order transitions, and complex CFTs

- V. Gorbenko, S. Rychkov, Bernardo Zan
- PhysicsJournal of High Energy Physics
- 30 July 2018

A bstractWe discuss walking behavior in gauge theories and weak first-order phase transitions in statistical physics. Despite appearing in very different systems (QCD below the conformal window, the… Expand

Walking, Weak first-order transitions, and Complex CFTs II. Two-dimensional Potts model at $Q>4$

- V. Gorbenko, S. Rychkov, Bernardo Zan
- PhysicsSciPost Physics
- 13 August 2018

We study complex CFTs describing fixed points of the two-dimensional
QQ-state
Potts model with Q≻ 4Q>4.
Their existence is closely related to the weak first-order phase
transition and the "walking"… Expand

Hamiltonian truncation study of the $φ^4$ theory in two dimensions

- S. Rychkov, L. Vitale
- Physics, Mathematics
- 10 December 2014

We defend the Fock-space Hamiltonian truncation method, which allows us to calculate numerically the spectrum of strongly coupled quantum field theories, by putting them in a finite volume and… Expand

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