Abstract:
The method of uniqueness is extended to diagrams with an arbitrary number of
derivatives (or momenta) on the lines. A number of useful formulas is obtained which
can be used for calculations in gauge theories. Some examples of multiloop calculations
in QCD are given. The method is applied to the calculation of αs-correction to the
longitudinal structure function of deep-inelastic lepton-hadron scattering.
Citation:
D. I. Kazakov, A. V. Kotikov, “Uniqueness method: Multiloop calculations in QCD”, TMF, 73:3 (1987), 348–361; Theoret. and Math. Phys., 73:3 (1987), 1264–1274
Teber S., Kotikov A.V., “Field Theoretic Renormalization Study of Interaction Corrections to the Universal Ac Conductivity of Graphene”, J. High Energy Phys., 2018, no. 7, 082
Gracey J.A., “Large N-F Quantum Field Theory”, Int. J. Mod. Phys. A, 33:35 (2018), 1830032
A. V. Kotikov, “The property of maximal transcendentality: Calculation of Feynman integrals”, Theoret. and Math. Phys., 190:3 (2017), 391–401
S. Teber, A. V. Kotikov, “Interaction corrections to the minimal conductivity of graphene via dimensional regularization”, EPL, 107:5 (2014), 57001
Groote S., Koerner J.G., Pivovarov A.A., “Understanding Pt Results for Decays of Tau-Leptons Into Hadrons”, Phys. Part. Nuclei, 44:2 (2013), 285–298
Jan Plefka, Konstantin Wiegandt, “Three-point functions of twist-two operators in $ \mathcal{N}=4 $ SYM at one loop”, J. High Energ. Phys., 2012:10 (2012)
Claudio Corianò, Luigi Delle Rose, Emil Mottola, Mirko Serino, “Graviton vertices and the mapping of anomalous correlators to momentum space for a general conformal field theory”, J. High Energ. Phys., 2012:8 (2012)
Igor Kondrashuk, Alvaro Vergara, “Transformations of triangle ladder diagrams”, J. High Energ. Phys., 2010:3 (2010)
Corneliu Sochichiu, “Dilatation operator in 3d”, J. High Energy Phys., 2009:03 (2009), 042
Igor Kondrashuk, Anatoly Kotikov, Analysis and Mathematical Physics, 2009, 337
B. A. Kniehl, A. V. Kotikov, O. L. Veretin, “Orthopositronium lifetime atO(α)andO(α3 ln α)in closed form”, Phys. Rev. A, 80:5 (2009)
A. Kotikov, J.H. Kühn, O. Veretin, “Two-loop formfactors in theories with mass gap and Z-boson production”, Nuclear Physics B, 788:1-2 (2008), 47
Kotikov, AV, “Deep inelastic scattering: Q(2) dependence of structure functions”, Physics of Particles and Nuclei, 38:1 (2007), 1
Citation in format AMSBIB
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