S. Derkachov

发表

Factorization of the % MathType!MTEF!2!1!+- % feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabe

R. Kirschner, P. Valinevich, S. Derkachov, 2008 .

Superconformal operators in N=4 super-Yang-Mills theory

G. Korchemsky, A. Belitsky, A. Manashov, 2003, hep-th/0311104.

Renormalisability and renormalisation of the 'true' self-avoiding random walks

A. N. Vasil'ev, J. Honkonen, S. Derkachov, 1989 .

Parton interactions in the Bjorken limit of QCD

R. Kirschner, S. Derkachov, 2001, hep-ph/0101174.

SL(2,C) Gustafson Integrals

A. Manashov, P. Valinevich, S. Derkachov, 2017, 1711.07822.

Spin chains and Gustafson’s integrals

A. Manashov, S. Derkachov, 2016, 1611.09593.

Yang–Baxter operators and scattering amplitudes in N=4 super-Yang–Mills theory

D. Chicherin, R. Kirschner, S. Derkachov, 2013, 1309.5748.

R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain

A. Manashov, S. Derkachov, 2006, nlin/0612003.

Yang–Baxter R-operators and parameter permutations

R. Kirschner, S. Derkachov, D. Karakhanyan, 2007, hep-th/0703076.

The Baxter Q-operator for the graded SL(2|1) spin chain

G. Korchemsky, A. Belitsky, A. Manashov, 2006, hep-th/0610332.

Stability Problem in the {ital O}({ital N}) Nonlinear Sigma Model

A. Manashov, S. Derkachov, 1997, hep-th/9705020.

Infinite symmetry group in D-dimensional conformal quantum field theory

Y. Pis'mak, S. Derkachov, 1993 .

Diffeomorphism symmetry in phi**4 field theory

Y. Pis'mak, S. Derkachov, 1994 .

Completeness of the 3j-Symbols for the Group SL(2, ℂ)

S. Derkachov, N. M. Belousov, 2021, Journal of Mathematical Sciences.

A simple scheme for the calculation of the anomalous dimensions of composite operators in the 1/N expansion

A. Manashov, S. Derkachov, 1997, hep-th/9710015.

Four loop anomalous dimensions of gradient operators in ${\phi^4}$ theory

J. Gracey, A. Manashov, S. Derkachov, 1997, hep-ph/9705268.

The spectrum of the anomalous dimensions of composite operators in the ge-expansion in the N-vector models

A. Manashov, S. Derkachov, 1995 .

Parton interactions in the Bjorken limit of QCD

R. Kirschner, S. Derkachov, 2001, hep-ph/0101174.

High-gradient operators in the N-vector model

S. Kehrein, A. Manashov, S. Derkachov, 1996, cond-mat/9610106.

Integrability of the evolution equations for heavy–light baryon distribution amplitudes

V. Braun, A. Manashov, S. Derkachov, 2014, 1406.0664.

Dilatation operator in (super-)Yang–Mills theories on the light-cone

G. Korchemsky, A. Belitsky, A. Manashov, 2005 .

Quantum integrability in (super) Yang-Mills theory on the light-cone

G. Korchemsky, A. Belitsky, A. Manashov, 2004, hep-th/0403085.

Universal R operator with Jordanian deformation of conformal symmetry

R. Kirschner, S. Derkachov, D. Karakhanyan, 2003, nlin/0310019.

Evolution equations for quark–gluon distributions in multi-color QCD and open spin chains

G. Korchemsky, A. Manashov, S. Derkachov, 2000 .

INTEGRABILITY OF THREE-PARTICLE EVOLUTION EQUATIONS IN QCD

V. Braun, A. Manashov, S. Derkachov, 1998, hep-ph/9805225.

Yang–Baxter equation, parameter permutations, and the elliptic beta integral

V. Spiridonov, S. Derkachov, 2012, 1205.3520.

On Calculation of 1/n Expansions of Critical Exponents in the Gross-Neveu Model with the Conformal Technique

N. Kivel, A. Stepanenko, A. Vasiliev, 1993, hep-th/9302034.

Three-loop calculation of the anomalous field dimension in the full four-fermionUN-symmetric model

N. Kivel, A. Vasiliev, S. Derkachov, 1996 .

Computation of quark mass anomalous dimension at O(1/Nf2) in quantum chromodynamics

J. Gracey, A. Manashov, S. Derkachov, 1999, hep-ph/9912221.

Critical dimensions of composite operators in the nonlinear σ-model

A. Manashov, S. Derkachov, 1998 .

Mirror channel eigenvectors of the d-dimensional fishnets

Sergey Derkachov, Gwenael Ferrando, Enrico Olivucci, 2021, Journal of High Energy Physics.

Conformal quantum mechanics & the integrable spinning Fishnet

S. Derkachov, Enrico Olivucci, 2021, Journal of High Energy Physics.

Conformal algebra: R-matrix and star-triangle relation

D. Chicherin, S. Derkachov, A. Isaev, 2013, Journal of High Energy Physics.

Conformal algebra: R-matrix and star-triangle relation

D. Chicherin, S. Derkachov, A. Isaev, 2012, 1206.4150.

Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and Separation of Variables

G. Korchemsky, A. Manashov, S. Derkachov, 2001 .

Three-loop calculation of the random walk problem: an application of dimensional transformation and the uniqueness method

J. Honkonen, Y. Pis'mak, S. Derkachov, 1990 .

Three-loop calculation of the anomalous dimension of diffusivity for a model of a random walk in a potential random field with long-range correlations

J. Honkonen, Y. Pis'mak, S. Derkachov, 1990 .

Noncompact Heisenberg spin magnets from high-energy QCD II. Quantization conditions and energy spectrum

G. Korchemsky, A. Manashov, S. Derkachov, 2002 .

Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles

S. Derkachov, A. Isaev, L. A. Shumilov, 2023, 2302.11238.

Conformal triangles and zig-zag diagrams

S. Derkachov, A. Isaev, L. Shumilov, 2022, Physics Letters B.

Noncompact sl(N) Spin Chains: BGG-Resolution, Q-Operators and Alternating Sum Representation for Finite-Dimensional Transfer Matrices

A. Manashov, S. Derkachov, Alexander N. Manashov, 2010, 1008.4734.

Baxter operators for arbitrary spin

D. Chicherin, R. Kirschner, S. Derkachov, 2011, 1106.4991.

Exactly solvable single-trace four point correlators in χCFT4

S. Derkachov, Enrico Olivucci, 2021, Journal of High Energy Physics.

Exactly solvable single-trace four point correlators in $\chi$CFT$_4$

S. Derkachov, Enrico Olivucci, 2020, 2007.15049.

Exactly Solvable Magnet of Conformal Spins in Four Dimensions.

S. Derkachov, Enrico Olivucci, 2019, Physical review letters.

Iterative construction of eigenfunctions of the monodromy matrix for SL(2,C)?> magnet

A. Manashov, S. Derkachov, 2014, 1401.7477.

Separation of variables for the quantum SL(3,C) spin magnet: eigenfunctions of Sklyanin B-operator

P. Valinevich, S. Derkachov, 2018, 1807.00302.

Quantum mechanics of null polygonal Wilson loops

A. Belitsky, A. Manashov, S. Derkachov, 2014, 1401.7307.

On the 6j-symbols for SL(2,C) group

V. Spiridonov, S. Derkachov, 2017, 1711.07073.

ompleteness of SoV Representation for SL(2,R) Spin Chains

K. K. Kozlowski, A. N. Manashov, S. E. Derkachov, 2021, 2102.13570.

Separation of Variables for the Quantum SL(3,ℂ) Spin Magnet: Eigenfunctions of the Sklyanin B-Operator

P. Valinevich, S. Derkachov, 2019, Journal of Mathematical Sciences.

The R-operator for a modular double

D. Chicherin, S. Derkachov, 2013, 1309.0803.

Superconformal operators in Yang–Mills theories on the light-cone

G. Korchemsky, A. Belitsky, A. Manashov, 2005 .

Superconformal operators in N=4 super-Yang-Mills theory

G. Korchemsky, A. Belitsky, A. Manashov, 2003, hep-th/0311104.

On rational symplectic parametrization of the coadjoint orbit of (). Diagonalizable case

M. Babich, S. Derkachov, 2011 .

The spinorial R-matrix

D. Chicherin, S. Derkachov, A. Isaev, 2013, 1303.4929.

Regular Representation of the Group GL(N, ℝ): Factorization, Casimir Operators and Toda Chain

S. Derkachov, N. Belousov, 2022, Journal of Mathematical Sciences.

Separation of variables for the quantum $SL(3,\mathbb C)$ spin magnet: eigenfunctions of Sklyanin $B$-operator

P. Valinevich, S. Derkachov, 2018 .

Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an SL(n,ℂ)-invariant spin chain

P. Kulish, S. Derkachov, P. A. Valinevich, 2016 .

Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an SL(n,ℂ)-invariant spin chain

P. Kulish, P. Valinevich, S. Derkachov, 2016, Theoretical and Mathematical Physics.

Factorization of the R-matrix. II

S. Derkachov, 2005 .

Baxter operators for the noncompact quantum sl(3) invariant spin chain

A. Manashov, S. Derkachov, 2006, nlin/0604018.

Baxter ℚ-operator and separation of variables for the open SL(2,ℝ) spin chain

G. Korchemsky, A. Manashov, S. Derkachov, 2003 .

On Complex Gamma-Function Integrals

A. Manashov, S. Derkachov, 2019, Symmetry, Integrability and Geometry: Methods and Applications.

Universal R-matrix as integral operator

R. Kirschner, S. Derkachov, D. Karakhanyan, 2001, nlin/0102024.

Heisenberg spin chains based on sℓ(2|1) symmetry

R. Kirschner, S. Derkachov, D. Karakhanyan, 2000, nlin/0003029.

SOS-Representation for the SL(2,ℂ)-Invariant R-Operator and Feynman Diagrams

P. Valinevich, S. Derkachov, A. Isaev, 2019, Journal of Mathematical Sciences.

The 6j-Symbols for the SL(2, ℂ) Group

V. Spiridonov, S. Derkachov, 2019, Theoretical and Mathematical Physics.

Generic scaling relation in the scalar model

A. Manashov, S. Derkachov, 1996, hep-th/9604173.

Separation of variables for the quantum SL(2,Bbb R) spin chain

G. Korchemsky, A. Manashov, S. Derkachov, 2003 .

Separation of variables for the quantum SL ( 2 , R ) spin chain

G. Korchemsky, A. Manashov, S. Derkachov, 2002 .

Baxter's Q-operator for the homogeneous XXX spin chain

S. Derkachov, 1999, solv-int/9902015.

SOS-Representation for the SL(2,ℂ)-Invariant R-Operator and Feynman Diagrams

P. Valinevich, S. Derkachov, A. Isaev, 2019, Journal of Mathematical Sciences.

The 6j-Symbols for the SL(2, ℂ) Group

V. Spiridonov, S. Derkachov, 2019, Theoretical and Mathematical Physics.

Dual conformal symmetry on the light-cone

G. Korchemsky, A. Manashov, S. Derkachov, 2013, 1306.5951.

New Elliptic Solutions of the Yang–Baxter Equation

V. Spiridonov, D. Chicherin, S. Derkachov, 2016, Communications in Mathematical Physics.

Matrix Factorization for Solutions of the Yang–Baxter Equation

D. Chicherin, S. Derkachov, 2016, Journal of Mathematical Sciences.

Matrix Factorization for Solutions of the Yang–Baxter Equation

D. Chicherin, S. Derkachov, 2015, 1502.07923.

New Elliptic Solutions of the Yang–Baxter Equation

V. Spiridonov, D. Chicherin, S. Derkachov, 2014, 1412.3383.

Finite-dimensional representations of the elliptic modular double

V. Spiridonov, S. Derkachov, 2013, 1310.7570.

Elliptic hypergeometric function and $$6j$$-symbols for the $$SL(2,{\mathbb C})$$ group

V. Spiridonov, G. Sarkissian, S. Derkachov, 2021, Theoretical and mathematical physics.

ELLIPTIC HYPERGEOMETRIC FUNCTION AND 6 j -SYMBOLS FOR THE SL (2 , C ) GROUP

V. Spiridonov, G. Sarkissian, S. Derkachov, 2022 .

From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation

V. Spiridonov, D. Chicherin, S. Derkachov, 2014, 1411.7595.

Gustafson integrals for SL(2,C) spin magnet

A. Manashov, P. Valinevich, S. Derkachov, 2016, 1612.00727.

Iterative Construction of Uq(sℓ(n+1)) Representations and Lax Matrix Factorisation

R. Kirschner, P. Valinevich, S. Derkachov, 2008, 0805.4724.

Noncompact Heisenberg spin magnets from high-energy QCD III. Quasiclassical approach

G. Korchemsky, A. Manashov, S. Derkachov, 2002 .

Factorization of the R-matrix and Baxter’s Q-operator

S. Derkachov, 2005 .

Factorization of the $$ \mathcal{R} $$-matrix for the quantum algebra Uq(sℓ3)

P. Valinevich, S. Derkachov, D. Karakhanyan, 2005, math/0507252.

Quark mass anomalous dimension at O(1/Nf2) in QCD

J. Gracey, A. Manashov, S. Derkachov, 1999, hep-ph/9903410.