1 code implementation • 3 Nov 2020 • Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk, Walter Landry, David Poland, David Simmons-Duffin
We introduce the software blocks_3d for computing four-point conformal blocks of operators with arbitrary Lorentz representations in 3d CFTs.
High Energy Physics - Theory
1 code implementation • 21 Sep 2019 • Walter Landry, David Simmons-Duffin
We present enhancements to SDPB, an open source, parallelized, arbitrary precision semidefinite program solver designed for the conformal bootstrap.
High Energy Physics - Theory
no code implementations • 18 Aug 2017 • Anatoly Dymarsky, Filip Kos, Petr Kravchuk, David Poland, David Simmons-Duffin
We also study the effect of gaps in the scalar, spin-2, and spin-4 spectra on the central charge bound.
High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons
no code implementations • 9 May 2017 • Luca Iliesiu, Filip Kos, David Poland, Silviu S. Pufu, David Simmons-Duffin
We study the conformal bootstrap for 4-point functions of fermions $\langle \psi_i \psi_j \psi_k \psi_{\ell} \rangle$ in parity-preserving 3d CFTs, where $\psi_i$ transforms as a vector under an $O(N)$ global symmetry.
High Energy Physics - Theory Strongly Correlated Electrons
1 code implementation • 27 Dec 2016 • David Simmons-Duffin
We carry out the first steps of this strategy for the 3d Ising CFT, deriving analytic approximations for the dimensions and OPE coefficients of several infinite families of operators in terms of the initial data $\{\Delta_\sigma,\Delta_\epsilon, f_{\sigma\sigma\epsilon}, f_{\epsilon\epsilon\epsilon}, c_T\}$.
High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons
no code implementations • 14 Mar 2016 • Filip Kos, David Poland, David Simmons-Duffin, Alessandro Vichi
We make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, $O(2)$, and $O(3)$ models from the conformal bootstrap with mixed correlators.
High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons
1 code implementation • 14 Mar 2016 • Zohar Komargodski, David Simmons-Duffin
We consider the Ising model between 2 and 4 dimensions perturbed by quenched disorder in the strength of the interaction between nearby spins.
High Energy Physics - Theory Disordered Systems and Neural Networks Statistical Mechanics Strongly Correlated Electrons
no code implementations • 31 Jul 2015 • Luca Iliesiu, Filip Kos, David Poland, Silviu S. Pufu, David Simmons-Duffin, Ran Yacoby
We study the conformal bootstrap for a 4-point function of fermions $\langle\psi\psi\psi\psi\rangle$ in 3D.
High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Lattice
no code implementations • 29 Apr 2015 • Filip Kos, David Poland, David Simmons-Duffin, Alessandro Vichi
We study 3d CFTs with an $O(N)$ global symmetry using the conformal bootstrap for a system of mixed correlators.
High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Lattice
2 code implementations • 6 Feb 2015 • David Simmons-Duffin
We introduce SDPB: an open-source, parallelized, arbitrary-precision semidefinite program solver, designed for the conformal bootstrap.
High Energy Physics - Theory Statistical Mechanics
no code implementations • 18 Jun 2014 • Filip Kos, David Poland, David Simmons-Duffin
We study the conformal bootstrap for systems of correlators involving non-identical operators.
High Energy Physics - Theory Statistical Mechanics High Energy Physics - Lattice
no code implementations • 25 Jul 2013 • Filip Kos, David Poland, David Simmons-Duffin
Comparing these bounds to previous determinations of critical exponents in the O(N) vector models, we find strong numerical evidence that the O(N) vector models saturate the bootstrap constraints at all values of N. We also compute general lower bounds on the central charge, giving numerical predictions for the values realized in the O(N) vector models.
High Energy Physics - Theory Statistical Mechanics
no code implementations • 23 Sep 2011 • David Poland, David Simmons-Duffin, Alessandro Vichi
In N=1 superconformal theories, we place strong bounds on dim(Phi*Phi), where Phi is a chiral operator.
High Energy Physics - Theory High Energy Physics - Phenomenology
