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All five-loop planar four-point functions of half-BPS operators in N= 4 SYM
(2018-11-01)
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 ...
Hexagons and correlators in the fishnet theory
(2019-11-01)
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 ...
Konishi OPE coefficient at the five loop order
(2018-11-01)
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 ...
The S-matrix bootstrap II: two dimensional amplitudes
(2017-11-01)
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 ...
No particle production in two dimensions: recursion relations and multi-Regge limit
(2019-02-01)
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 coupled to matter fields
(ELSEVIER SCIENCE BV, 2008)
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 ...
Equivalence of many-photon Green's functions in the Duffin-Kemmer-Petiau and Klein-Gordon-Fock statistical quantum field theories
(Consultants Bureau, 2004-07-01)
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 ...
Equivalence of many-gluon Green's functions in the Duffin-Kemmer-Petieu and Klein-Gordon-Fock statistical quantum field theories
(Springer, 2005-06-01)
We prove the equivalence of many-gluon Green's functions in the Duffin-Kemmer-Petieu and Klein-Gordon-Fock statistical quantum field theories. The proof is based on the functional integral formulation for the statistical ...
Self-dual hopfions
(Springer, 2010-03-01)
We construct static and time-dependent exact soliton solutions with nontrivial Hopf topological charge for a field theory in 3 + 1 dimensions with the target space being the two dimensional sphere S(2). The model considered ...
SOME COMMENTS ON QUASI-INTEGRABILITY
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
In this paper we present our preliminary results which suggest that some field theory models are `almost` integrable; i.e. they possess a large number of `almost` conserved quantities. First we demonstrate this, in some ...