We obtain all planar four-point correlators of half-BPS operators in N= 4 SYM up to five loops. The ansatz for the integrand is fixed partially by imposing lightcone OPE relations between different correlators. We then fix ...

We investigate the hexagon formalism in the planar 4d conformal fishnet theory. This theory arises from N = 4 SYM by a deformation that preserves both conformal symmetry and integrability. Based on this relation, we obtain ...

We use the method of asymptotic expansions to study the OPE limit of a fourpoint function of protected operators in N= 4 SYM. We use a new method for evaluating the resulting propagator-type integrals and then extract the ...

We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 1 + 1 dimensions due to crossing symmetry and unitarity. In this way we establish rigorous bounds on the cubic couplings of ...

We introduce high-energy limits which allow us to derive recursion relations fixing the various couplings of Lagrangians of two-dimensional relativistic quantum field theories with no tree-level particle production in a ...

The Bullough-Dodd model is an important two-dimensional integrable field theory which finds applications in physics and geometry. We consider a conformally invariant extension of it, and study its integrability properties ...

Using the functional integral formalism for the statistical generating functional in the statistical (finite temperature) quantum field theory, we prove the equivalence of many-photon Greens functions in the Duffin-Kennner-Petiau ...