LIST OF ACADEMIC PUBLICATIONS
Books and review
Articles in journals and preprints
Published contributions to academic conferences
Books and review
- Volobujev I.P., Kubyshin Yu.A., Mourão J.M., Rudolph G.
Dimensional reduction of symmetric gauge fields, Higgs models and
spontaneous compactification. Fizika Elementarnykh Tchastits i
Atomnogo Yadra (Particles and Nuclei), v. 20, No 3, p. 561-627
(1989) (in Russian).
- Kubyshin Yu.A., Mourão J.M., Rudolph G., Volobujev I.P.
Dimensional reduction of gauge theories, spontaneous
compactification and model building. Lecture Notes in Physics,
vol. 349. Springer-Verlag, Berlin, 1989. 80 p.
- Volobujev I.P. and Kubyshin Yu.A. Differential geometry and Lie
algebras and their applications in field theory.
University course for postgraduate students.
Editorial URSS, Moscow, 1998 (in Russian). 222 p.
Articles in journals and preprints
- Dittes F.M., Kubyshin Yu.A., Tarasov O.V. Four-loop approximation
in the $\phi ^{4}$ model. Teor. Mat. Fiz., v. 37, No 1, p. 66-73
(1978) (in Russian); Theor.Math.Phys., v.37, p. 879 (1979).
- Bogomolny E.B., Kubyshin Yu.A. Asymptotic estimates for graphs
with a fixed number of fermion loops in quantum electrodynamics.
The choice of the form of the steepest-descent solutions. Yad. Phys.,
v. 34, No 6, p. 1535-1546 (1981) (in Russian); Sov.J. Nucl.Phys.,
v. 34, No 6, p. 853-858 (1981).
- Bogomolny E.B., Kubyshin Yu.A. Asymptotic estimates for diagrams
with a fixed number of fermion loops in quantum electrodynamics.
The extremal configurations with the symmetry group $O(2)
\times O(3)$. Yad. Phys., v. 35, No 1, p. 202-212 (1982)
(in Russian); Sov.J.Nucl.Phys., v. 35, No 1, p. 425-430 (1982).
- Kubyshin Yu.A. Corrections to the asymptotic formula for high
orders of perturbation theory. Teor. Mat. Fiz., v. 57, No 3, p.
363-372 (1983) (in Russian); Theor. Math. Phys., v. 57, p. 1196
(1984).
- Kubyshin Yu.A. The Sommerfeld-Watson summation ofperturbation
theory series. Teor. Mat. Fiz., v. 58, No 1. p. 137-145 (1984)
(in Russian); Theor. Math. Phys., v. 58, p. 91 (1984).
- Volobujev I.P., Kubyshin Yu.A. Higgs potentials as a consequence
of extra space-time dimensions. I. The dimensional reduction and
scalar fields. Teor. Mat. Fiz., v. 68, No 2, p. 225-235 (1986)
(in Russian); Theor. Math. Phys., v. 68, p. 788-796 (1986).
- Volobujev I.P., Kubyshin Yu.A. Higgs potentials as a consequence
of extra space-time dimensions. II. Construction of Higgs
models. Teor. Mat. Fiz., v. 68, No 3, p. 368-380 (1986) (in
Russian); Theor. Math. Phys., v. 68, p. 788-796 (1986).
- Volobujev I.P., Kubyshin Yu.A. Physical interpretation of
solutions of the theory of spontaneous compactification. JETP
Lett., v.45, No 10, p.581-584 (1987).
- Kubyshin Yu.A., Mourão J.M., Volobujev I.P. Spontaneous
compactification and dimensional reduction. Phys. Lett.,
v. B203, No 4, p. 349-352 (1988).
- Volobujev I.P., Kubyshin Yu.A. Spontaneous compactification from
the viewpoint of the dimensional reduction of gauge fields.
Teor. Mat. Fiz., v. 75, No 2, p. 255-266 (1988) (in Russian);
Theor. Math. Phys., v. 75, p. 509-517 (1988).
- Kubyshin Yu.A., Mourão J.M., Volobujev I.P. Scalar fields
in the dimensional reduction scheme for symmetric spaces. Int. Journ.
Mod. Phys., v.A4, No 1, p. 151-171 (1989).
- Kubyshin Yu.A., Rubakov V.A., Tkachev I.I. Dynamics of
compactification in Einstein-Yang-Mills theories. Int. Journ.
Mod. Phys., v. A4, No 6, p. 1409-1425 (1989)
- Kubyshin Yu.A., Mourão J.M., Volobujev I.P.
Multidimensional Einstein-Yang-Mills theories:
dimensional reduction, spontaneous compactification and all
that. Nucl. Phys., v. B322, No 2, p. 531-554 (1989).
- Volobujev I.P., Kubyshin Yu.A., Mourão J.M. Symmetric
spaces and Higgs models in the method of dimensional reduction.
I. Scalar field potentials of the reduced theory. Teor. Mat. Fiz.
(Theor. Math. Phys.), v.78, No 1, p. 58-69 (1989) (in Russian).
- Volobujev I.P., Kubyshin Yu.A., Mourão J.M. Symmetric spaces
and Higgs models in the method of dimensional reduction. II.
Theories with one irreducuble multiplet of scalar fields. Teor.
Mat. Fiz. (Theor. Math. Phys.), v. 78, No 2, p. 267-280 (1989)
(in Russian).
- Bukina O.G., Kubyshin Yu.A. Some new results on the summation of
perturbation theory series. Preprint - 89-68/145, Nuclear
Physics Institute, Moscow, 1989 (in Russian). 15 p.
- Isham C.J., Kubyshin Yu.A., Renteln P. Quantum norm theory and
the quantisation of metric topology. Class. and Quant. Gravity,
v. 7, p. 1053-1074 (1990).
- Kubyshin Yu.A. Higgs potentials from multidimensional gauge
theories. Journ. Math. Phys., v. 32, No 8, p. 2200-2209 (1991).
- Kubyshin Yu.A., Soto J. An operator regularisation for chiral
gauge theories. Int. Journ. Mod. Phys., v. A6, No 21, p. 3807 -
3822 (1991).
- Kubyshin Yu.A., Richter O., Rudolph G. On the Equations of
Spontaneous Compactification for Gauss-Bonnet Extended
Einstein-Cartan Theory. Rep. Math. Phys., vol. 30, No 3, p. 355-361
(1991).
- Bertolami O., Kubyshin Yu.A., Mourão J.M. Stability of
compactification in Einstein-Yang-Mills theories after
inflation. Physical Review D45, No 10, p. 3405-3414 (1992).
- Kubyshin Yu.A., O'Connor D., Stephens C.R. Dimensional Crossover
from Non-Renormalizability to Renormalizability. Class. and Quantum
Gravity, vol. 10, No 12, p. 2519-2530 (1993).
- Kubyshin Yu.A., Richter O., Rudolph G. Invariant connections on
homogeneous spaces. Journal of Mathematical Physics, vol. 34, No 11,
p. 5268-5282 (1993).
- Kubyshin Yu.A., Pérez Cadenas J.I.
Compactification to non-symmetric homogeneous space
in multidimensional Einstein-Yang-Mills theory.
Communications in Theor. Phys., vol. 3, p. 101-137 (1994).
- Demichev A.P., Iofa M.Z., Kubyshin Yu.A., Tarasov V.E. Possible
manifestations of multidimensionality of space-time in a simple
model. Yad. Fiz. (Sov. J. Nucl. Phys.) v. 56, p. 222 (1993).
- Kubyshin Yu.A., Malyshenko V.O., Marín Ricoy D. Invariant
connections with torsion on group manifolds and their application
in Kaluza-Klein theories. Journal of Mathematical Physics, vol. 35,
No 1, p. 310-320 (1994).
- Demichev A.P., Kubyshin Yu.A., Pérez Cadenas J.I.
Manifestations of space-time multidimensionality in scattering
of scalar particles. Phys. Lett., vol. B323, No 2,
p. 139-146 (1994).
- Haagensen P.E., Kubyshin Yu., Latorre J.I. and Moreno E.
Gradient flows from an approximation to the exact renormalization
group. Phys. Lett., vol. B323, No 3, p. 330-338 (1994).
- Elizalde E., Kubyshin Yu. Possible evidences of Kaluza-Klein
particles in a scalar model with spherical compactification.
J. Phys. A, vol. 27, No 22, p. 7533-7553 (1994).
- Kubyshin Yu. and Martin J. Limits on Kaluza-Klein models from
COBE results. Preprint UB-ECM-PF 95/13. Universitat de Barcelona,
Departament d'ECM, 1995. 9p. (gr-qc/9507010)
- Elizalde E., Kirsten K. and Kubyshin Yu. On the instability
of the vacuum in multidimensional scalar theories.
Z. Phys. C, vol. 70, p. 159 - 172 (1996).
- Álvarez E. and Kubyshin Yu. Is the string coupling constant
invariant under T-duality? Nucl. Phys. B (Proc. Suppl.), vol. 57,
p. 41-51 (1997).
- Comellas J., Kubyshin Yu. and Moreno E. Exact renormalization
group study of fermionic theories. Nucl. Phys., vol. B490,
p. 653-686 (1997).
- Kirsten K. and Kubyshin Yu. Amplification of the scattering
cross section due to non-trivial topology of the spacetime.
Z. Phys. C., vol. 76, p. 363-374 (1997).
- Aroca J.M. and Kubyshin Yu. Study of Wilson loop functionals in
2D Yang-Mills theories. 1998, 18 p. (hep-th/9802048).
- Kubyshin Yu.A. Exact renormalization group approach in scalar
and fermionic theories. Int. J. Mod. Phys., vol. B12, Nos 12 \& 13,
p. 1321-1341 (1998).
- Kubyshin Yu.A. and Tinyakov P.G. Propagator in the instanton
background and instanton-induced processes in scalar model.
1998, 16p. (hep-ph/9812321).
- Aroca J.M. and Kubyshin Yu.A. Calculation of Wilson loops in
2-dimensional Yang-Mills theories. 1999, 45p. (hep-th/9901155).
Published contributions to academic conferences
- Kubyshin Yu.A., Volobujev I.P. Higgs models resulting from
symmetric spaces. In: Proc. of the 3d Seminar on Group
Theoretical Methods in Physics (Yurmala, USSR, May 1985) Ed.
M.A. Markov, V.I. Man'ko, V.V. Dodonov. VNU Science Press,
Utrecht, 1986. Vol. 2, p. 343-354.
- Kubyshin Yu.A., Volobujev I.P. Weinberg-Salam model from
multidimensional Einstein-Yang-Mills theory. In: Proc. of the
11th International Conference on General Relativity and
Gravitation. Abstracts of Contributed Papers. (Stockholm, July,
1986). Academitryfk, Stockholm, 1986. Vol. 1, 08:10, p. 299.
- Kubyshin Yu.A., Volobujev I.P. Weinberg-Salam model in the
dimensional reduction scheme. In: Proc. of the Seminar Quarks '86
(Tbilisi, USSR, 1986) Eds. A.N.Tavkhelidze et al. VNU Science
Press, Utrecht, 1987. P. 167-176.
- Volobujev I.P., Kubyshin Yu.A. Quantum corrections in the
Weinberg-Salam model obtained by the method of dimensional
reduction. In: Problems in High Energy Physics and Field Theory.
Proc. of the IX International Seminar (Protvino, USSR, June
1986). Nauka, Moscow, 1987 (in Russian). P. 153-158.
- Bukina O.G., Kubyshin Yu.A. Sommerfeld-Watson
summation of asymptotic perturbation theory series.
In: Quantum Field Theory and High Energy Physics. Proc. of
the 3d Nuclear Physics Institute School. Moscow State Univ.
Publishing House, Moscow, 1988 (in Russian). P. 159-162.
- Volobujev I.P., Kubyshin Yu.A., Mourão J.M. Spontaneous
compactification to homogeneous spaces. In: Quantum Field Theory
and High Energy Physics. Proc. of the 3d Nuclear Physics
Institute School. Moscow State Univ. Publishing House, Moscow,
1988 (in Russian). P. 163-164.
- Kubyshin Yu.A., Mourão J.M., Volobujev I.P. Spontaneous
compactification to homogeneous spaces in Einstein-Yang-Mills
theories. In: Proc. of the 5th Marcel Grossmann Meeting (Perth,
Australia, August 1988). Abstracts. Univ. of Western Australia,
1988. P. 86.
- Volobujev I.P., Kubyshin Yu.A. Dimensional reduction of gauge
fields and Higgs model building. In: Mathematical Problems of
Quantum Mechanics and Quantum Field Theory. Proc. of the Seminar
(Kuibyshev, USSR, May 1987) Kuibyshev Univ., 1988 (in Russian).
P. 33-42.
- Volobujev I.P., Kubyshin Yu.A. Dimensional reduction of gauge
fields and spontaneous compactification. In: Mathematical
Problems of Quantum Mechanics and Quantum Field Theory. Proc. of
the Seminar (Kuibyshev, USSR, May 1987) Kuibyshev Univ., 1988
(in Russian). P. 42-51.
- Kozimirov N.G., Kubyshin Yu.A., Rubakov V.A., Tkachev I.I.
Dynamics of compactification in Einstein-Yang-Mills theories.
In: Quarks '88. Proc. of the International Seminar (Tbilisi,
USSR, May 1988). Eds. Tavkhelidze et al., World Scientific,
Singapore, 1989. P. 528-552.
- Volobujev I.P., Kubyshin Yu.A., Mourão J.M. Stable
compactifying solutions and new possibilities of model building
for symmetric spaces with simple isotropy groups. In:
Problems in High Energy Physics and Field Theory. Proc. of
the XI Intern. Seminar (Protvino, USSR, 1988). Nauka, Moscow, 1989
(in Russian). P. 25-35.
- Kubyshin Yu.A., Mourão J.M., Volobujev I.P. Spontaneous
compactification with extra time-like dimensions in
Einstein-Yang-Mills theories. In: Problems in High Energy
Physics and Field Theory. Proc. of the XII Intern. Seminar
(Protvino, July 1989). Ed. V.A. Petrov. Nauka, Moscow, 1990. P.
73-76.
- Isham C.J., Kubyshin Yu.A., Renteln P. Quantum Metric Topology.
In: Quantum Gravity. Proceedings of the Vth Quantum Gravity
Seminar (Moscow, 28 May-1 June 1990). World Scientific,
Singapore, 1991. P. 60-82.
- Isham C.J., Kubyshin Yu.A., Renteln P. Metric Space as a Model
of Spacetime: Classical Theory and Quantization. In: The
Physical Universe: The Interface Between Cosmology, Astrophysics
and Particle Physics. Proc. of the XII Autumn School of Physics
(Lisbon, 1-5 October 1990). Eds. J.D. Barroso, A.B. Henriques,
M.T.V.T. Lago and M.S. Longair. Lecture Notes in Physics, Vol.
383. Springer-Verlag, Berlin, 1991. P. 159-173.
- Bertolami O., Kubyshin Yu.A., Mourão J.M. Stability of
Compactification in Einstein-Yang-Mills Theories. In: The
Physical Universe: The Interface Between Cosmology, Astrophysics
and Particle Physics. Proc. of the XII Autumn School of Physics
(Lisbon, 1-5 October 1990). Eds. J.D. Barroso, A.B. Henriques,
M.T.V.T. Lago and M.S. Longair. Lecture Notes in Physics, Vol.
383. Springer-Verlag, Berlin, 1991. P. 237-252.
- Kubyshin Yu.A. Kaluza-Klein Cosmology. In: Quantum Field Theory
and High Energy Physics. Proceedings of the VI School on Quantum
Field Theory and High Energy Physics (Sochi, USSR, 5-13 October
1991). Moscow University Press, Moscow, 1991. P. 41-66.
- Kubyshin Yu.A., Mourão J.M., Volobujev I.P. Graphic Schemes
of Root Ordering in Simple Lie Algebras. In: Symmetries and
Algebraic Structures in Physics. Part II. Proc. of the XVIII
International Simposium on Group Theoretical Methods in Physics
(Moscow, June 1990). Eds. Man'ko V.I., Dodonov V.V. Nova
Science, New York, 1991. P. 261-264.
- Bertolami O., Kubyshin Yu.A., Mourão J.M. On the
stability of compactification after inflation. In:
Proceedings of the VI Marcel Grossman Meeting 1991. Eds. H. Sato
and T. Nakamura. Singapore, World Scientific, 1992. P. 625.
- Kubyshin Yu.A., O'Connor D., Stephens C.R. Dimensional crossover,
the renormalization group and finite size scaling. In:
Renormalization Group '91 (2nd International Conference, 3-6
September 1991, Dubna, USSR). Proceedings. Eds. D.V. Shirkov and
V.B. Priezzhev. Singapore, World Scientific, 1992. P. 80-95.
- Kubyshin Yu.A., Malyshenko V.O. and Marín Ricoy D. Invariant
connections with torsion on group manifolds. In: Proceedings of the
XIX International Colloquium on Group Theoretical Methods in Physics
(June 29 - July 4 1992, Salamanca). Eds. M.A. del Olmo, M. Santander
and J. Mateos-Guilarte. Madrid, Editorial CIEMAT, 1993. Vol. I, p.
375-378.
- Kubyshin Yu.A., O'Connor D., Stephens C.R. Decoupling of
heavy masses in the Kaluza-Klein approach. In: "Quarks '92".
Proceedings of the International Seminar (Zvenigorod, Russia,
11-17 May 1992). Eds. D.Yu. Grigoriev, V.A. Matveev, V.A. Rubakov
and P.G. Tinyakov. River Edge, N.Y., World Scientific, 1993.
P. 359-374.
- Demichev A.P., Pérez Cadenas J. and Kubyshin Yu. Scattering
of scalar particles in a six-dimensional compactified space-time.
In: Proceedings of the VIII International Workshop on High Energy
Physics and Quantum Field Theory (Zvenogorod, Russia, 15-21
September 1993). Ed. B. Levtchenko. Moscow University Press,
Moscow, 1994. P. 192-196.
- Elizalde E., Kirsten K. and Kubyshin Yu. Possible instability
of the effective potential in a scalar model due to extra
dimensions. In: "Electroweak Physics and the Early Universe",
Proceedings of a NATO Advanced Research Workshop (Sintra, Portugal,
23-25 May, 1994). Eds. J.C. Romão and F. Freire. Plenum Press,
N.Y., 1994. P. 385-388.
- Haagensen P.E., Kubyshin Yu., Latorre J.I. and Moreno E.
The exact renormalization group and approximations.
In: "Quarks '94". Proceedings of the International Seminar
(Vladimir, Russia, 11-18 May 1994). Eds. D.Yu. Grigoriev, V.V.
Matveev, V.A. Rubakov, D.T. Son and A.N. Tavkhelidze. World
Scientific Publishing Co., Singapore, 1995. P. 422-435.
- Kubyshin Yu., Moreno E. and Pérez Cadenas J.I.
Multidimensional Einstein - Yang - Mills cosmological
models. In: Proceedings of the E.R.E. 94 Meeting
(Encuentros Realtivistes Españoles ), Trobades
Científiques
de la Mediterránia (Maó, Spain, 12-14 September 1994).
Eds. A. Molina and J.M.M. Senovilla. World Scientific Publishing Co.,
Singapore, 1995. P. 172-177.
- Comellas J., Kubyshin Yu. and Moreno E. Approximate solutions
in scalar and fermionic theories within the exact renormalization
group approach. In: Proceedings of the Xth International Workshop on
High Energy Physics and Quantum Field Theory (Zvenigorod, Russia,
20-26 September 1995). Eds. B.B. Levtchenko and V.I. Savrin. Moscow
University Press, Moscow, 1996. P. 249-266.
- Kubyshin Yu. and Martin J. On compatibility of the Kaluza-Klein
approach with the COBE experiment.
In: Proceedings of the Xth International Workshop on
High Energy Physics and Quantum Field Theory (Zvenigorod, Russia,
20-26 September 1995). Eds. B.B. Levtchenko and V.I. Savrin.
Moscow University Press, Moscow, 1996. P. 290-297.
- Kubyshin Yu. Exact renormalization group approach in scalar and
fermionic theories. In: "Renormalization Group - 96",
Proceedings of the 3d International Conference
(Dubna, Russia, 26-31 August, 1996) Eds. Shirkov D.V., Kazakov D.I.
and Priezzhev V.B. JINR, Dubna, 1997. P. 277-293.
- Álvarez E. and Kubyshin Yu. Coupling constant under duality
transformations in string theory. In: Proceedings of the
XIth International Workshop on High Energy Physics and
Quantum Field Theory (Sankt-Petersburg, Russia,
12-18 September 1996). Ed. B.B. Levtchenko. Moscow
University Press, Moscow, 1997. P. 283-289.
- Kubyshin Yu. and Martin J. Bounds on Kaluza-Klein cosmologies
from COBE results. In: "New Worlds in Astroparticle Physics",
Proceedings of the International Workshop (Faro, Portugal, 8-10
September 1996). Eds. Mour\~ao A.M., Pimenta M., Potting R. and
Sonderegger P. World Scientific, Singapore, 1998. P. 297-313.
- Kubyshin Yu., Neves R. and Potting R. Polchinski ERG equation and
2D scalar theory. To appear in the Proceedings of the Workshop
on the Exact Renormalization Group (Faro, Portugal, 10-12 September
1998) (hep-th/9811151).
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