Zobrazeno 1 - 10
of 228
pro vyhledávání: '"Manashov, A. N."'
Making use of conformal symmetry of large-$n_f$ QCD in $d=4-2\epsilon$ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in general kinemati
Externí odkaz:
http://arxiv.org/abs/2411.14985
We calculate quantum corrections to the symmetry generators for the transversity operators in quantum chromodynamics (QCD) in the two-loop approximation. Using this result, we obtain the evolution kernel for the corresponding operators at three loops
Externí odkaz:
http://arxiv.org/abs/2407.12696
Autor:
Manashov, Alexander N.
Publikováno v:
SIGMA 19 (2023), 086, 24 pages
We prove the unitarity of the separation of variables transform for $\mathrm{SL}(2,\mathbb C)$ spin chains by a method based on the use of Gustafson integrals.
Externí odkaz:
http://arxiv.org/abs/2303.11461
Using the recent results on the contributions of descendants of the leading twist operators to the operator product expansion of two electromagnetic currents we derive explicit expressions for the kinematic finite-$t$ and target mass corrections to t
Externí odkaz:
http://arxiv.org/abs/2211.04902
Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger $4-2\epsilon$ space-time dimensions. Correlation functions of multiplicatively renormalizable operators with different anomalous dimensions at the critical point
Externí odkaz:
http://arxiv.org/abs/2205.08228
Autor:
Manashov, A. N.
We present an alternative proof of Gustafson's generalization of the second Barnes' lemma.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/2110.05862
Using the approach based on conformal symmetry we calculate the two-loop coefficient function for the axial-vector contributions to two-photon processes in the $\overline{\rm MS}$ scheme. This is the last missing element for the complete next-to-next
Externí odkaz:
http://arxiv.org/abs/2106.01437
Publikováno v:
SIGMA 17 (2021), 063, 26 pages
This work develops a new method, based on the use of Gustafson's integrals and on the evaluation of singular integrals, allowing one to establish the unitarity of the separation of variables transform for infinite-dimensional representations of rank
Externí odkaz:
http://arxiv.org/abs/2102.13570
Publikováno v:
Phys. Rev. D 103, 094018 (2021)
Evolution equations for leading twist operators in high orders of perturbation theory can be restored from the spectrum of anomalous dimensions and the calculation of the special conformal anomaly at one order less using conformal symmetry of QCD at
Externí odkaz:
http://arxiv.org/abs/2101.01471
Using some techniques of conformal field theories, we find a closed expression for the contribution of leading twist operators and their descendants, obtained by adding total derivatives, to the operator product expansion (OPE) of two electromagnetic
Externí odkaz:
http://arxiv.org/abs/2011.04533