76 citations · 596 across the 33 of their papers we have counts for
12 papers · 1 filter
Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles
S. E. Derkachov, A. P. Isaev, L. A. Shumilov
We develop an operator approach to the evaluation of multiple integrals for multiloop Feynman massless diagrams. A commutative family of graph building operators for ladder d…
Conformal Triangles and Zig-Zag Diagrams
S. Derkachov, A. P. Isaev, L. Shumilov
A convenient integral representation for zig-zag four-point and two-point planar Feynman diagrams relevant to the bi-scalar D-dimensional fishnet field theory is obtained. This rep…
Quantum mechanics of null polygonal Wilson loops
A. V. Belitsky, S. E. Derkachov, A. N Manashov
Scattering amplitudes in maximally supersymmetric gauge theory are dual to super-Wilson loops on null polygonal contours. The operator product expansion for the latter revealed tha…
Dual conformal symmetry on the light-cone
S. E. Derkachov, G. P. Korchemsky, A. N. Manashov
We study the properties of conformal operators in the SL(2) sector of planar N=4 SYM and its supersymmetric SL(2|2) extension. The correlation functions of these operators and thei…
Baxter operators for arbitrary spin
D. Chicherin, S. Derkachov, D. Karakhanyan +1
We construct Baxter operators for the homogeneous closed spin chain with the quantum space carrying infinite or finite dimensional representations. All alg…
Iterative construction of representations and Lax matrix factorisation
S. Derkachov, D. Karakhanyan, R. Kirschner +1
The construction of a generic representation of or of the trigonomentric deformation of its enveloping algebra known as algebraic induction is conveniently formulated…
Yang-Baxter R operators and parameter permutations
S. Derkachov, D. Karakhanyan, R. Kirschner
We present an uniform construction of the solution to the Yang- Baxter equation with the symmetry algebra and its deformations: the q-deformation and the elliptic deform…
Baxter Q-operators of the XXZ chain and R-matrix factorization
S. Derkachov, D. Karakhanyan, R. Kirschner
We construct Baxter operators as generalized transfer matrices being traces of products of generic matrices. The latter are shown to factorize into simpler operators allowing f…
Superconformal operators in N=4 super-Yang-Mills theory
A. V. Belitsky, S. E. Derkachov, G. P. Korchemsky +1
We construct, in the framework of the N=4 SYM theory, a supermultiplet of twist-two conformal operators and study their renormalization properties. The components of the supermulti…
The simple scheme for the calculation of the anomalous dimensions of composite operators in the 1/N expansion
S. E. Derkachov, A. N. Manashov
The simple method for the calculating of the anomalous dimensions of the composite operators up to 1/N^2 order is developed. We demonstrate the effectiveness of this approach by co…
Generic scaling relation in the scalar model
S. E. Derkachov, A. N. Manashov
The results of analysis of the one--loop spectrum of anomalous dimensions of composite operators in the scalar model are presented. We give the rigorous constructive proo…
The spectrum of the anomalous dimensions of the composite operators in the - expansion in the scalar - field theory
S. E. Derkachov, A. N. Manashov
The spectrum of the anomalous dimensions of the composite operators (with arbitrary number of fields and derivatives ) in the scalar - theory in the first order of the…