Renormalization group functions of $\phi^4$ theory in the MS-scheme to six loops

N. N. Bogoliubov and O. S. Parasiuk, Über die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder , Acta Math. 97 (Mar., 1957) pp. 227–266. English title: On the multiplication of the causal function in the quantum theory of fields

1957

Earlier work this paper cites.

Interscience Publishers, New York, 1959

N. N. Bogoliubov and D. V. Shirkov, Introduction to the theory of quantized fields , vol. 3 of Interscience monographs in physics and astronomy · 1959

Earlier work this paper cites.

N. Nakanishi, Errata: Parametric integral formulas and analytic properties in perturbation theory , Progress of Theoretical Physics 26 (1961), no.~5 p. 806

1961

Earlier work this paper cites.

N. Nakanishi, Parametric integral formulas and analytic properties in perturbation theory , Progress of Theoretical Physics Supplement 18 (1961) pp. 1–81. Erratum [ 43 ]

1961

Earlier work this paper cites.

K. Hepp, Proof of the Bogoliubov-Parasiuk theorem on renormalization , Comm. Math. Phys. 2 (1966), no.~1 pp. 301–326

1966

Earlier work this paper cites.

W. Zimmermann, Convergence of Bogoliubov's method of renormalization in momentum space , Commun. Math. Phys. 15 (1969), no.~3 pp. 208–234

1969

Earlier work this paper cites.

Gordon and Breach, New York, 1971

N. Nakanishi, Graph theory and Feynman integrals , vol. 11 of Mathematics and its applications · 1971

Earlier work this paper cites.

G. ’t Hooft and M. Veltman, Regularization and renormalization of gauge fields , Nuclear Physics B 44 (July, 1972) pp. 189–213

1972

Earlier work this paper cites.

G. ’t Hooft, Dimensional regularization and the renormalization group , Nuclear Physics B 61 (1973) pp. 455–468

1973

Earlier work this paper cites.

J. C. Collins, Structure of counterterms in dimensional regularization , Nuclear Physics B 80 (Oct., 1974) pp. 341–348

1974

Earlier work this paper cites.

A. A. Vladimirov, Methods of calculating many-loop diagrams and renormalization-group analysis of the $ φ

1978

Earlier work this paper cites.

K. G. Chetyrkin, A. L. Kataev and F. V. Tkachov, New approach to evaluation of multiloop Feynman integrals: The Gegenbauer polynomial $x$-space technique , Nuclear Physics B 174 (Nov., 1980) pp. 345–377

1980

Earlier work this paper cites.

K. G. Chetyrkin, A. L. Kataev and F. V. Tkachov, Errata , Physics Letters B 101 (1981), no.~6 pp. 457–458

1981

Earlier work this paper cites.

K. G. Chetyrkin, A. L. Kataev and F. V. Tkachov, Five-loop calculations in the $g φ

1981

Earlier work this paper cites.

K. G. Chetyrkin and F. V. Tkachov, Integration by parts: The algorithm to calculate $ β

1981

Earlier work this paper cites.

A. N. Vasil’ev, Y. M. Pis’mak and Y. R. Khonkonen, $1/n$ expansion: Calculation of the exponents $ η

1981

Earlier work this paper cites.

K. G. Chetyrkin and F. V. Tkachov, Infrared $R$-operation and ultraviolet counterterms in the MS-scheme , Physics Letters B 114 (Aug., 1982) pp. 340–344

1982

Earlier work this paper cites.

K. G. Chetyrkin, S. G. Gorishny, S. A. Larin and F. V. Tkachov, Five-loop renormalization group calculations in the $g φ

1983

Earlier work this paper cites.

D. I. Kazakov, The method of uniqueness, a new powerful technique for multiloop calculations , Physics Letters B 133 (Dec., 1983) pp. 406–410

1983

Earlier work this paper cites.

K. G. Chetyrkin and V. A. Smirnov, $R^*$-operation corrected , Physics Letters B 144 (Sept., 1984) pp. 419–424

1984

Earlier work this paper cites.

D. J. Broadhurst, Massless scalar Feynman diagrams: five loops and beyond , Tech. Rep. OUT-4102-18, Open University, Milton Keynes, Dec., 1985

1985

Earlier work this paper cites.

K. G. Chetyrkin, S. G. Gorishny, S. A. Larin and F. V. Tkachov, “Analytical calculations 5-loops approximations RG functions for g ​ ϕ 4 g\phi^{4} model in MS-scheme.” preprint INR P-0453, 1986

1986

Earlier work this paper cites.

K. G. Chetyrkin, Combinatorics of $R$-, $R^-1$-, and $R^*$-operations and asymptotic expansions of Feynman integrals in the limit of large momenta and masses , tech. rep., Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Munich, Germany, Mar., 1991

1991

Cited alongside, same era.

H. Kleinert, J. Neu, V. Schulte-Frohlinde, K. G. Chetyrkin and S. A. Larin, Five loop renormalization group functions of $O(n)$-symmetric $ φ

1991

Cited alongside, same era.

D. J. Broadhurst, “Multi-loop calculations without subtractions: 5-loop propagator in ϕ 4 \phi^{4} theory.” unpublished preprint, Sept., 1993

1993

Cited alongside, same era.

H. Kleinert, J. Neu, V. Schulte-Frohlinde, K. G. Chetyrkin and S. A. Larin, Five loop renormalization group functions of $O(n)$-symmetric $ φ

1993

Cited alongside, same era.

J. A. M. Vermaseren, Axodraw , Computer Physics Communications 83 (Mar., 1994) pp. 45–58

F. C. S. Brown and D. Kreimer, Angles, scales and parametric renormalization , Lett. Math. Phys. 103 (2013), no.~9 pp. 933–1007, arXiv:1112.1180 [hep-th]

Original

2013

Later among the works it cites.

E. Panzer, On the analytic computation of massless propagators in dimensional regularization , Nucl. Phys. B 874 (Sept., 2013) pp. 567–593, arXiv:1305.2161 [hep-th]

Original

2013

Later among the works it cites.

L. T. Adzhemyan and M. V. Kompaniets, Five-loop numerical evaluation of critical exponents of the $ ϕ

Original

2014

Later among the works it cites.

D. Batkovich, Y. Kirienko, M. Kompaniets and S. Novikov, ``GraphState - a tool for graph identification and labelling.'' preprint, program repository: https://bitbucket.org/mkompan/graph_state/downloads , Sept., 2014, arXiv:1409.8227 [hep-ph]

Original

2014

Later among the works it cites.