F.V. Tkachov

6.1k citations

47 papers · 4.1k · 2 hit papers · h-index 23

Impact in

Nuclear and High Energy Physics top 0.5%
- Particle physics theoretical and experimental studies
- Quantum Chromodynamics and Particle Interactions
- Black Holes and Theoretical Physics
- High-Energy Particle Collisions Research
- Neutrino Physics Research
Computational Mathematics top 5%

Papers in

Nuclear and High Energy Physics 37
- Particle physics theoretical and experimental studies 32
- Quantum Chromodynamics and Particle Interactions 28
- Black Holes and Theoretical Physics 13
- High-Energy Particle Collisions Research 12
- Neutrino Physics Research 6
- Astrophysics and Cosmic Phenomena 3
Astronomy and Astrophysics 4
- Cosmology and Gravitation Theories 4

Co-authors: K.G. Chetyrkin (10 shared papers)A. L. Kataev (5 shared papers)S.A. Larin (9 shared papers)S.G. Gorishny (7 shared papers)Levan R. Surguladze (5 shared papers)J. A. M. Vermaseren (2 shared papers)Andrzej Czarnecki (4 shared papers)Ian Blokland (3 shared papers)
Journals: Physics Letters B (14 papers)Physical Review Letters (6 papers)International Journal of Modern Physics A (4 papers)Nuclear Physics B (3 papers)Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment (3 papers)
Partner nations: Russia Canada United States

In The Last Decade

F.V. Tkachov

44 papers receiving 3.9k citations

F.V. Tkachov's Hit Papers

align trajectories log scale

A theorem on analytical calculability of 4-loop renormalization group functions 1981 · 804 citations

Peers

Countries citing papers authored by F.V. Tkachov

Since Specialization

Citations

This map shows the geographic impact of F.V. Tkachov's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by F.V. Tkachov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites F.V. Tkachov more than expected).

Fields of papers citing papers by F.V. Tkachov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by F.V. Tkachov. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by F.V. Tkachov. The network helps show where F.V. Tkachov may publish in the future.

Co-authors

The 25 scholars most cited alongside F.V. Tkachov, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with F.V. Tkachov Line = papers co-authored together F.V. Tkachov links everyone, so they are left out of the graph.

All Works

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Showing the 20 most-cited of 47 papers — load more, or switch the sort, to bring in the rest.

#	Work
1	Integration by parts: The algorithm to calculate β-functions in 4 loops Nuclear Physics B ·K.G. Chetyrkin, F.V. Tkachov Hit paper breakdown →	1981	1310
2	A theorem on analytical calculability of 4-loop renormalization group functions Physics Letters B ·F.V. Tkachov Hit paper breakdown →	1981	804
3	Higher-order corrections to (→ ) in quantum chromodynamics Physics Letters B ·K.G. Chetyrkin, A. L. Kataev, F.V. Tkachov	1979	313
4	New approach to evaluation of multiloop Feynman integrals: The Gegenbauer polynomial x-space technique Nuclear Physics B ·K.G. Chetyrkin, A. L. Kataev, F.V. Tkachov	1980	306
5	Upper limit on the electron antineutrino mass from the Troitsk experiment Physical review. D. Particles, fields, gravitation, and cosmology ·V. N. Aseev, A. I. Belesev, A. I. Berlëv, E. V. Geraskin, А. А. Голубев, N. A. Likhovid, V.M. Lobashev, Alexander Nozik, V. Pantuev, В. И. Парфенов, A. K. Skasyrskaya, F.V. Tkachov, S. Zadoroghny	2011	174
6	Mincer: Program for multiloop calculations in quantum field theory for the Schoonschip system Computer Physics Communications ·S.G. Gorishny, S.A. Larin, Levan R. Surguladze, F.V. Tkachov	1989	154
7	Five-loop renormalization group calculations in the gϕ4 theory Physics Letters B ·K.G. Chetyrkin, S.G. Gorishny, S.A. Larin, F.V. Tkachov	1983	106
8	Infrared R-operation and ultraviolet counterterms in the MS-scheme Physics Letters B ·K.G. Chetyrkin, F.V. Tkachov	1982	89
9	The algorithm for OPE coefficient functions in the MS scheme Physics Letters B ·S.G. Gorishny, S.A. Larin, F.V. Tkachov	1983	70
10	The FORM version of MINCER S.A. Larin, F.V. Tkachov, J.A.M. Vermaseren	1991	69
11	ϵ-Expansion for critical exponents: The O(ϵ5) approximation Physics Letters A ·S.G. Gorishny, S.A. Larin, F.V. Tkachov	1984	68
12	αs3correction to the Bjorken sum rule Physical Review Letters ·S.A. Larin, F.V. Tkachov, J. A. M. Vermaseren	1991	68
13	Five-loop calculations in the gϕ4 model and the critical index η Physics Letters B ·K.G. Chetyrkin, A. L. Kataev, F.V. Tkachov	1981	60
14	Operator product expansion in the minimal subtraction scheme Physics Letters B ·K.G. Chetyrkin, S.G. Gorishny, F.V. Tkachov	1982	45
15	Heavy-to-Light-Quark Decays with Two-Loop Accuracy Physical Review Letters ·Ian Blokland, Andrzej Czarnecki, Maciej Ślusarczyk, F.V. Tkachov	2004	40
16	EUCLIDEAN ASYMPTOTIC EXPANSIONS OF GREEN FUNCTIONS OF QUANTUM FIELDS (I) EXPANSIONS OF PRODUCT OF SINGULAR FUNCTIONS International Journal of Modern Physics A ·F.V. Tkachov	1993	38
17	Electromagnetic dipole operator effect onB¯→XsγatO(αs2) Physical review. D. Particles, fields, gravitation, and cosmology ·Ian Blokland, Andrzej Czarnecki, Mikołaj Misiak, Magdalena Ślusarczyk, F.V. Tkachov	2005	35
18	On the operator product expansion in the MS-scheme Physics Letters B ·F.V. Tkachov	1983	31
19	Two-loop effects in QCD sum rules for light mesons Nuclear Physics B ·Levan R. Surguladze, F.V. Tkachov	1990	31
20	The O(αs3) QCD correction to the lowest moment of the longitudinal structure function in deep inelastic electron-nucleon scattering Physics Letters B ·S.A. Larin, F.V. Tkachov, J. A. M. Vermaseren	1991	30

About F.V. Tkachov

F.V. Tkachov is a scholar working on Nuclear and High Energy Physics, Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics and Artificial Intelligence, having authored 47 papers that have together received 4.1k indexed citations. Recurring topics across this work include Particle physics theoretical and experimental studies (32 papers), Quantum Chromodynamics and Particle Interactions (28 papers), Black Holes and Theoretical Physics (13 papers), High-Energy Particle Collisions Research (12 papers), Neutrino Physics Research (6 papers), Cosmology and Gravitation Theories (4 papers), Computational Physics and Python Applications (3 papers) and Astrophysics and Cosmic Phenomena (3 papers). The work is most often cited by research in Nuclear and High Energy Physics (3.6k citations), Computational Mathematics (21 citations), Statistical and Nonlinear Physics (328 citations), Astronomy and Astrophysics (414 citations) and Mathematical Physics (219 citations). F.V. Tkachov has collaborated with scholars based in Russia, Canada and United States. Frequent co-authors include K.G. Chetyrkin, A. L. Kataev, S.A. Larin, S.G. Gorishny, Levan R. Surguladze, J. A. M. Vermaseren, Andrzej Czarnecki, Ian Blokland, J.A.M. Vermaseren and V. N. Aseev. Their work appears in journals such as Physics Letters B, Physical Review Letters, International Journal of Modern Physics A, Nuclear Physics B and Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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F.V. Tkachov's Hit Papers

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