25 citations · 49 across the 5 of their papers we have counts for
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Hypergeometric functions, their epsilon expansions and Feynman diagrams
M. Yu. Kalmykov, Bernd A. Kniehl, B. F. L. Ward +1
We review the hypergeometric function approach to Feynman diagrams. Special consideration is given to the construction of the Laurent expansion. As an illustration, we describe a c…
Series and epsilon-expansion of the hypergeometric functions
M. Yu. Kalmykov
Recent progress in analytical calculation of the multiple [inverse, binomial, harmonic] sums, related with epsilon-expansion of the hypergeometric function of one variable are disc…
Geometrical approach to loop calculations and the epsilon-expansion of Feynman diagrams
A. I. Davydychev, M. Yu. Kalmykov
Some problems related to the structure of higher terms of the epsilon-expansion of Feynman diagrams are discussed.
Noninvariant renormalization in the background-field method
L. V. Avdeev, D. I. Kazakov, M. Yu. Kalmykov
We investigate the consistency of the background-field formalism when applying various regularizations and renormalization schemes. By an example of a two-dimensional model it…
Ambiguity of the one-loop calculations in a nonrenormalizable quantum gravity.
M. Yu. Kalmykov, P. I. Pronin
The ambiguity in the calculations of one-loop counterterms by the background field method in nonrenormalizable theories of gravity is discussed. Some examples of such ambiguous cal…