|
Articles in journals | |
| 1. |
B.A. Arbuzov and A.I. Davydychev Particular solutions of the equations for the lowest Green's functions in the infrared region of quantum chromodynamics. Teor. Mat. Fiz. 71 (1987) 21-30 [Theor. Math. Phys. 71 (1987) 352-359], [pdf file] |
| 2. |
E.E. Boos and A.I. Davydychev A method for calculating vertex-type Feynman integrals. Vestn. Mosk. Univ. (Ser.3) 28, No.3 (1987) 8-12 [Mosc. Univ. Phys. Bull. 42, No.3 (1987) 6-10], [ps.gz file], [pdf file] |
| 3. |
B.A. Arbuzov, A.I. Davydychev and S.S. Kurennoy Particular solutions of the equation for the quark propagator in the infrared region of QCD. Nuovo Cimento 97A (1987) 131-147 [ps.gz file], [pdf file] |
| 4. |
B.A. Arbuzov, E.E. Boos and A.I. Davydychev Infrared asymptotics of gluon Green's functions in covariant gauge. Teor. Mat. Fiz. 74 (1988) 163-170 [Theor. Math. Phys. 74 (1988) 103-108], [pdf file] |
| 5. |
A.I. Davydychev Equation for the quark propagator in the infrared region and some properties of its solutions. Teor. Mat. Fiz. 85 (1990) 54-63 [Theor. Math. Phys. 85 (1990) 1048-1055], [scanned version] |
| 6. |
B.A. Arbuzov, A.I. Davydychev and S.S. Kurennoy Transverse part of the quark-gluon vertex and quark propagator in infrared region. Nuovo Cimento 104A (1991) 349-362 [pdf file], [scanned version] |
| 7. |
E.E. Boos and A.I. Davydychev A method of calculating massive Feynman integrals. Teor. Mat. Fiz. 89 (1991) 56-72 [Theor. Math. Phys. 89 (1991) 1052-1064], [ps.gz file], [pdf file], [scanned version] |
| 8. |
A.I. Davydychev Some exact results for N-point massive Feynman integrals. J. Math. Phys. 32 (1991) 1052-1060 [ps.gz file], [pdf file], [scanned version] |
| 9. |
A.I. Davydychev A simple formula for reducing Feynman diagrams to scalar integrals. Phys. Lett. B263 (1991) 107-111 [ps.gz file], [pdf file], [scanned version] |
| 10. |
A.I. Davydychev General results for massive N-point Feynman diagrams with different masses. J. Math. Phys. 33 (1992) 358-369 [ps.gz file], [pdf file], [scanned version] |
| 11. |
A.I. Davydychev Recursive algorithm of evaluating vertex-type Feynman integrals. J. Phys. A25 (1992) 5587-5596 [ps.gz file], [pdf file], [scanned version] |
| 12. |
A.I. Davydychev and J.B. Tausk Two-loop self-energy diagrams with different masses and the momentum expansion. Nucl. Phys. B397 (1993) 123-142 [ps.gz file], [pdf file], [scanned version] |
| 13. |
N.I. Ussyukina and A.I. Davydychev An approach to the evaluation of three- and four-point ladder diagrams. Phys. Lett. B298 (1993) 363-370 [ps.gz file], [pdf file], [scanned version] |
| 14. |
N.I. Ussyukina and A.I. Davydychev Exact results for three- and four-point ladder diagrams with an arbitrary number of rungs. Phys. Lett. B305 (1993) 136-143 [ps.gz file], [pdf file], [scanned version] |
| 15. |
A.I. Davydychev and J.B. Tausk Momentum expansion of two-loop self-energy diagrams occurring in the Standard Model. Yad. Fiz. 56, No.11 (1993) 137-144 [Phys. At. Nucl. 56 (1993) 1531-1536], [ps.gz file], [pdf file] |
| 16. |
N.I. Ussyukina and A.I. Davydychev Some exact results for two-loop diagrams with three and four external lines. Yad. Fiz. 56, No.11 (1993) 172-179 [Phys. At. Nucl. 56 (1993) 1553-1557] (hep-ph/9307327) |
| 17. |
A.I. Davydychev, V.A. Smirnov and J.B. Tausk Large momentum expansion of two-loop self-energy diagrams with arbitrary masses. Nucl. Phys. B410 (1993) 325-342 (hep-ph/9307371) |
| 18. |
A. Czarnecki and A.I. Davydychev Two-loop renormalization group analysis of hadronic decays of a charged Higgs boson. Phys. Lett. B325 (1994) 435-440 (hep-ph/9309245) |
| 19. |
N.I. Ussyukina and A.I. Davydychev New results for two-loop off-shell three-point diagrams. Phys. Lett. B332 (1994) 159-167 (hep-ph/9402223) |
| 20. |
F.A. Berends, A.I. Davydychev, V.A. Smirnov and J.B. Tausk Zero-threshold expansion of two-loop self-energy diagrams. Nucl. Phys. B439 (1995) 536-560 (hep-ph/9410232) |
| 21. |
N.I. Ussyukina and A.I. Davydychev Two-loop three-point diagrams with irreducible numerators. Phys. Lett. B348 (1995) 503-512 (hep-ph/9412356) |
| 22. |
A.I. Davydychev and J.B. Tausk Tensor reduction of two-loop vacuum diagrams and projectors for expanding three-point functions. Nucl. Phys. B465 (1996) 507-520 (hep-ph/9511261) |
| 23. |
A.I. Davydychev and J.B. Tausk Connection between certain massive and massless diagrams. Phys. Rev. D53 (1996) 7381-7384 (hep-ph/9504431) |
| 24. |
F.A. Berends, A.I. Davydychev and V.A. Smirnov Small-threshold behaviour of two-loop self-energy diagrams: two-particle thresholds. Nucl. Phys. B478 (1996) 59-89 (hep-ph/9602396) |
| 25. |
A.I. Davydychev, P. Osland and O.V. Tarasov Three-gluon vertex in arbitrary gauge and dimension. Phys. Rev. D54 (1996) 4087-4113; D59 (1999) 109901(E) (hep-ph/9605348) |
| 26. |
A.I. Davydychev Some techniques for calculating two-loop diagrams. Acta Phys. Pol. B28 (1997) 841-846 (hep-ph/9610510), [pdf file] |
| 27. |
F.A. Berends, A.I. Davydychev and N.I. Ussyukina Threshold and pseudothreshold values of the sunset diagram. Phys. Lett. B426 (1998) 95-104 (hep-ph/9712209) |
| 28. |
A.I. Davydychev and R. Delbourgo A geometrical angle on Feynman integrals. J. Math. Phys. 39 (1998) 4299-4334 (hep-th/9709216) |
| 29. |
A.I. Davydychev, P. Osland and O.V. Tarasov Two-loop three-gluon vertex in the zero-momentum limit. Phys. Rev. D58 (1998) 036007 (14 p.) (hep-ph/9801380) |
| 30. |
A.I. Davydychev and R. Delbourgo Geometrical approach to the evaluation of multileg Feynman diagrams. Acta Phys. Pol. B29 (1998) 2891-2899 (hep-th/9806248), [pdf file] |
| 31. |
A.I. Davydychev and P. Osland On-shell two-loop three-gluon vertex. Phys. Rev. D59 (1999) 014006 (22 p.) (hep-ph/9806522) |
| 32. |
A.I. Davydychev and A.G. Grozin Effect of mc on b quark chromomagnetic interaction and on-shell two-loop integrals with two masses. Phys. Rev. D59 (1999) 054023 (10 p.) (hep-ph/9809589) |
| 33. |
A.I. Davydychev and V.A. Smirnov Threshold expansion of the sunset diagram. Nucl. Phys. B554 (1999) 391-414 (hep-ph/9903328) |
| 34. |
A.I. Davydychev Explicit results for all orders of the e-expansion of certain massive and massless diagrams. Phys. Rev. D61 (2000) 087701 (4 p.) (hep-ph/9910224) |
| 35. |
A.I. Davydychev, P. Osland and L. Saks Quark-gluon vertex in arbitrary gauge and dimension. Phys. Rev. D63 (2001) 014022 (31 p.) (hep-ph/0008171) |
| 36. |
A.I. Davydychev, K. Schilcher and H. Spiesberger Hadronic O(a2) corrections to the energy spectrum of muon decay. Eur. Phys. J. C19 (2001) 99-104 (hep-ph/0011221) |
| 37. |
A.I. Davydychev and M.Yu. Kalmykov New results for the e-expansion of certain one-, two- and three-loop diagrams. Nucl. Phys. B605 (2001) 266-318 (hep-th/0012189) |
| 38. |
A.I. Davydychev and A.G. Grozin HQET quark-gluon vertex at one loop. Eur. Phys. J. C20 (2001) 333-342 (hep-ph/0103078) |
| 39. |
A.I. Davydychev, P. Osland and L. Saks Quark mass dependence of the one-loop three-gluon vertex in arbitrary dimension. J. High Energy Phys. 08 (2001) 050 (21 p.) (hep-ph/0105072) |
| 40. |
A.I. Davydychev and V.A. Smirnov Analytical evaluation of certain on-shell two-loop three-point diagrams. Nucl. Instr. Meth. A502 (2003) 621-623 (hep-ph/0210171) |
| 41. |
A.I. Davydychev and M.Yu. Kalmykov Massive Feynman diagrams and inverse binomial sums. Nucl. Phys. B699 (2004) 3-64 (hep-th/0303162) |
| 42. |
A.I. Davydychev and R. Delbourgo Explicitly symmetrical treatment of three-body phase space. J. Phys. A37 (2004) 4871-4886 (hep-th/0311075) |
| 43. |
A.I. Davydychev Geometrical methods in loop calculations and the three-point function. Nucl. Instr. Meth. A559 (2006) 293-297 (hep-th/0509233) |
|
Proceedings of conferences | |
| c1. |
E.E. Boos and A.I. Davydychev Infrared region of gluodynamics and an estimate of the glueball mass (in Russian). Proc. II Workshop "Infrared Behaviour in QCD", Tbilisi, Georgia, May 1988 (University Press, Tbilisi, 1989), 55-66. |
| c2. |
A.I. Davydychev Some properties of the solutions to the equation for the quark propagator in infrared region (in Russian). Proc. II Workshop "Infrared Behaviour in QCD", Tbilisi, Georgia, May 1988 (University Press, Tbilisi, 1989), 92-106. |
| c3. |
E.E. Boos and A.I. Davydychev Calculational technique for massive Feynman integrals. Proc. XIII Workshop "Problems on High Energy Physics and Field Theory", Protvino, Russia, July 1990 (Nauka, Moscow, 1991), 120-127 [ps.gz file], [pdf file] |
| c4. |
A.I. Davydychev and M.N. Dubinin Triangle diagrams in the Standard Model. Proc. XIV Workshop "Problems on High Energy Physics and Field Theory", Protvino, Russia, July 1991 (Nauka, Moscow, 1992), 294-299 [ps.gz file], [pdf file] |
| c5. |
A.I. Davydychev Loop calculations in QCD with massive quarks. Talk presented at the International School-Seminar "Relativistic Nuclear Dynamics", Vladivostok, Russia, September 1991, 8 p. [ps.gz file], [pdf file] |
| c6. |
A.I. Davydychev Standard and hypergeometric representations for loop diagrams and the photon-photon scattering. Proc. Intern. Conf. "Quarks-92", Zvenigorod, Russia, May 1992 (World Scientific, Singapore, 1993), 260-267 (hep-ph/9307323) |
| c7. |
A.I. Davydychev Progress in evaluating some complicated types of Feynman diagrams with two (and more) loops. Proc. Workshop "AIHENP-93", Oberammergau, Germany, October 1993 (World Scientific, Singapore, 1994), 531-537 (hep-ph/9310308) [ps.gz file], [pdf file] |
| c8. |
A.I. Davydychev and J.B. Tausk Two-loop vacuum diagrams and tensor decomposition. Proc. Workshop "AIHENP-95", Pisa, Italy, April 1995 (World Scientific, Singapore, 1995), 155-160 (hep-ph/9504432) |
| c9. |
A.I. Davydychev, P. Osland and O.V. Tarasov One-loop results for three-gluon vertex in arbitrary gauge and dimension. Nucl. Phys. B (Proc. Suppl.) 51C (1996) 289-294 (hep-ph/9605453) |
| c10. |
F.A. Berends, A.I. Davydychev and V.A. Smirnov Small-threshold behaviour of two-loop self-energy diagrams: some special cases. Nucl. Phys. B (Proc. Suppl.) 51C (1996) 301-306 (hep-ph/9606244) |
| c11. |
A.I. Davydychev, P. Osland and O.V. Tarasov Two-loop QCD vertices, WST identities and RG quantities. Proc. Workshop on the Exact Renormalization Group, Faro, Portugal, September 1998 (World Scientific, Singapore, 1999), 213-222 (hep-ph/9811503) |
| c12. |
A.I. Davydychev Geometrical approach to Feynman integrals and the e-expansion. Proc. Workshop "AIHENP-99", Heraklion, Greece, April 1999 (Parisianou S.A., Athens, 2000), 219-225 (hep-th/9908032) |
| c13. |
A.I. Davydychev and M.Yu. Kalmykov Some remarks on the e-expansion of dimensionally regulated Feynman diagrams. Nucl. Phys. B (Proc. Suppl.) 89 (2000) 283-288 (hep-th/0005287) |
| c14. |
A.I. Davydychev, P. Osland and L. Saks One-loop results for the quark-gluon vertex in arbitrary dimension. Nucl. Phys. B (Proc. Suppl.) 89 (2000) 277-282 (hep-ph/0008202) |
| c15. |
A.I. Davydychev, K. Schilcher and H. Spiesberger Hadronic corrections to the muon decay. Proc. Workshop "QFTHEP-01", Moscow, Russia, September 2001 (Moscow Univ. Press, Moscow, 2002), 214-221 (hep-ph/0203125) |
| c16. |
A.I. Davydychev and M.Yu. Kalmykov Geometrical approach to loop calculations and the e-expansion of Feynman diagrams. Proc. Workshop "CPP2001", Tokyo, Japan, November 2001, KEK Proceedings 2002-11, 169-178 (hep-th/0203212) |
| c17. |
A.I. Davydychev and R. Delbourgo Three-body phase space: symmetrical treatments. Proc. 15th Biennial Congress of the Australian Institute of Physics, Sydney, Australia, July 2002 (Causal Productions, Adelaide, 2002), 144-146 (hep-th/0209233) |
| c18. |
D.J. Broadhurst and A.I. Davydychev Exponential suppression with four legs and an infinity of loops. Nucl. Phys. B (Proc. Suppl.) 205-206 (2010) 326-330 (arXiv:1007.0237) |
|
Some reports | |
| r1. |
B.A. Arbuzov and A.I. Davydychev Three- and four-gluon vertices in the QCD infrared region (in Russian). Preprint IHEP 86-187, Serpukhov (Russia), 1986, 16 p. [scanned version] |
| r2. |
E.E. Boos and A.I. Davydychev Infrared problems of describing the glueball and an estimation of its mass. Preprint INP MSU 88-21/42, Moscow (Russia), 1988, 20 p. [ps.gz file], [pdf file], [scanned version] |
|
Miscellany | |
| m1. |
A.I. Davydychev Infrared asymptotics of Green's functions in a scalar model of quantum chromodynamics (in Russian). Diploma (M.Sc.), Department of Physics, Moscow State University, January 1984 |
| m2. |
A.I. Davydychev Asymptotical solving of the equations for the lowest Green's functions in infrared region of quantum chromodynamics (in Russian). Thesis (Ph.D.), Department of Physics, Moscow State University, October 1987 |
| m3. |
A.I. Davydychev and P. Osland Top-kvarken funnet ved Fermilab? (in Norwegian). Fra Fysikkens Verden (Journal of the Norwegian Physical Society), No.2 (1994) p.34-35 [ps.gz file] |
|
Patents | |
| p1. |
A.I. Davydychev e.a. Extra bucking coils as an alternative way to balance induction arrays US Patent 7501829 (March 2009), US Patent Application 2006/0192562 |
| p2. |
S.S. Chesser e.a. Selectable tap induction coil US Patent 7417436 (August 2008), US Patent Application 2006/0192561 |
| p3. |
B. Finci e.a. Composite encased tool for subsurface measurements US Patent 7671597 (March 2010), US Patent Application 2007/0107896 |
| p4. |
A.I. Davydychev and G.N. Minerbo Method for determining an effective formation conductivity for induction log borehole correction US Patent 7457707 (November 2008), US Patent Application 2008/0133138 |
| p5. |
E. Harrigan e.a. Instrumented open hole driller for injecting and monitoring fluids US Patent Application 61/080320 |