More analytic bootstrap: nonperturbative effects and fermions
Abstract
We develop the analytic bootstrap in several directions. First, we discuss the appearance of nonperturbative effects in the Lorentzian inversion formula, which are exponentially suppressed at large spin but important at finite spin. We show that these effects are important for precision applications of the analytic bootstrap in the context of the 3d Ising and O(2) models. In the former they allow us to reproduce the spin2 stress tensor with error at the 10^{5} level while in the latter requiring that we reproduce the stress tensor allows us to predict the coupling to the leading charge2 operator. We also extend perturbative calculations in the lightcone bootstrap to fermion 4point functions in 3d, predicting the leading and subleading asymptotic behavior for the doubletwist operators built out of two fermions.
 Publication:

Journal of High Energy Physics
 Pub Date:
 August 2019
 DOI:
 10.1007/JHEP08(2019)040
 arXiv:
 arXiv:1904.00032
 Bibcode:
 2019JHEP...08..040A
 Keywords:

 Conformal and W Symmetry;
 Conformal Field Theory;
 Nonperturbative Effects;
 High Energy Physics  Theory;
 Condensed Matter  Statistical Mechanics
 EPrint:
 37 pages, 4 figures, 2 tables, v2: Improved discussion of generating function and updated results for Ising and O(2) model