"Sapere aude! - имей мужество пользоваться собственным умом! - таков… девиз Просвещения"
(Иммануил Кант)

Преподавание (Teaching)

V.L. Chernyak, Lectures on SM and Electro-Week Interaction.

"Характер - это способность действовать согласно принципам"
(Иммануил Кант)

Научная работа

English

Scientific activity

Russian

E-mail:

Professor of theoretical physics Department of Physics, Irkutsk State University,

Leading Researcher of Dzhelepov Laboratory of Nuclear Problems, Joint Institute for Nuclear Research, Dubna.

Doctor of Phys. & Math. Sci.

PhD in field of Theoretical and Mathematical Physics

(Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, 1990).

Title of Phd degree thesis: "The off-shell Jost function method in quantum scattering theory''.

Thesis advisor: Prof. Yu.V.Parfenov (Irkutsk State University, Irkutsk).

Doctor degree in field of Theoretical and Mathematical Physics

(Physical Department of Irkutsk State University, Irkutsk, 2002)

Title of Doctor degree thesis: "Nonperturbative solutions of the models with four-fermion interaction''.

Thesis consultant: Prof. A.N.Vall (Irkutsk State University, Irkutsk).

FIELDS OF CURRENT ACTIVITY:

Quantum Scattering Theory:

Schrodinger and Dirac equations in arbitrary dimension spaces;

(Off-shell) Jost-function method;

Scattering on analytical and singular potentials;

Theory of self-adjoint extensions;

Three-particle problem.

Quantum Chromodynamic:

Relativistic and nonrelativistic potential quark models;

Operator expansion for exclusive processes.

Four-fermion interaction and spontaneous symmetry breaking:

Nambu-Jona-Lasinio model;

Exactly solvable nonrelativistic and relativistic models.

Nonperturbative methods in quantum field theory:

Berry phase for nonhermitian Hamiltonian;

Dynamic mapping (Haag expansion) method in QFT;

Bosonisation in the four-fermion models for zero and nonzero temperature.

MAIN SCIENTIFIC RESULTS:

Asymptotic behavior of electromagnetic and weak nucleon formfactors in QCD

(joint to V.L. Chernyak and V.A. Avdeenko). (1980, 1981).

Derivation of basic inverse scattering problem equation for Jost solution in the class of

Yukawa-type potentials for arbitrary complex angular momentum for both Schrodinger

and Dirac operators in arbitrary N-dimension spaces by the methods of direct

scattering problem. (joint to Yu.V. Parfenov). (1980, 1984, 1993).

A general Froissart-Gribov-type integral representation for the Jost determinants (Jost-functions)

is established, that for local Schrodinger and Dirac Hamiltonians in arbitrary N-dimension spaces,

as well as for Schrodinger one's with singular and nonlocal generalized Yukawa-type potentials,

discloses some hidden symmetry of the scattering problem with a group-theoretical interpretation,

what is generalized also for the case of coupled channels. (1981, 1987, 1989, 1990, 1992, 1993).

The dynamic scheme basing on the linear Volterra-type integral equation for the off-shell or half-off-shell

T-matrix momentum transfer spectral density, continued analytically on energy variables

from the continuum to the bound state region, and on the above Jost-function's

Froissart-Gribov-type integral representation for local Schrodinger and Dirac

Hamiltonians in arbitrary N-dimension spaces and for Schrodinger one's with singular or

nonlocal generalized Yukawa-type potentials and for the case of coupled channels.

(joint to Yu.V. Parfenov). (1981, 1987, 1989, 1990, 1992, 1993).

Exact numerical value of the averaged relative excitation energy ("logarithm Bethe")

at zero energy level for Lemb-shift problem. (1987, 1989).

Complex geometric phases for adiabatic evolution of systems governed by non-Hermitian

3x3 matrix Hamiltonians depending on time through a set of real parameters.

The conditions whereby the complex geometric phases take their extreme (resonance)

values independently of the circuit in the parameter space.

(joint to V.A. Naumov and V.E. Kuznetsov). (1995).

New solution of Nambu-Jona-Lasinio model with linear dependence of mass from

momentum. (joint to A.N. Vall, and V.M. Leviant). (1995).

Unambiguous fine-tuning renormalization procedure extracting a renormalized

dynamics from nonrenormalizable nonrelativistic contac four-fermion interaction.

This procedure is self-consistent in every N-particle sector. It is closely

connected with the construction of self-adjoint extension of corresponding

quantum mechanical Hamiltonians in the Pontryagin space and with

restoration of Galileo invariance. It reduces the field Hamiltonian into

the family of Hamiltonians self-adjoint and semi-bounded in the Hilbert

space in one-, two-, and three-particle sectors with correctly defined exact

solutions for scattering and bound states and for Goldstone mode.

(joint to A.N. Vall, and V.M. Leviant). (1997, 1998, 2001).

A method of solution of Heizenberg equations for some four-fermion models,

using their linearization with the help of dynamical mapping by means of Haag expansion

onto corresponding trial Schroedinger fields for zero and nonzero temperature.

(joint to A.N. Vall, V.M. Leviant, A.B. Tanaev, V.V. Semenov). (1997, 2001, 2006, 2010).

Thermofield bosonization of massless Thirring model at finite temperature.

"Hot" and "cold" thermofields. (joint to V.V. Semenov). (2011, 2012)

"Рассудок ничего не может созерцать, а чувства ничего не могут мыслить. Только из соединения их может возникнуть знание"
(Иммануил Кант)

Некоторые публикации

(Some Publications)

Phd degree thesis

Doctor degree thesis

[1] Avdeenko V.A., Chernyak V.L., Korenblit S.E.,

Asymptotic of nucleon formfactors in QCD,

Sov. Journ. Nucl. Phys, 1981, v.33, N2, pp.481-490.

[2] Korenblit S.E.,

Partial Jost determinants and resolvent spectral density on momentum transfer,

Sov. Journ. Theor. Math. Phys. 1989, v.81, N1, pp.45-58.

(Teoreticheskaya i Matematicheskaya Fizika. 1989, v.81, N1, pp.45-58.)

[3] S.E. Korenblit.

Local potential in the Lamb-shift problem.

Sov. Journ. Nucl. Phys, 1989, v.49, N 1, pp.197-204, (pdf)

[4] Korenblit S.E., Parfenov Yu.V.,

The T-matrix momentum-transfer spectral density and hidden symmetry of generalized Yukawa potential,

Sov. Journ. Nucl. Phys, 1993, v.56, N 4, pp.105-160, (djvu)

Physics of Atomic Nuclei, 1993, v.56, N 4, pp.483-511.

[5] A.N.Vall, S.E.Korenblit, V.M.Leviant, and A.B.Tanaev,

Dynamical mapping method in nonrelativistic models of quantum field theory,

Journal of Nonlinear Mathematical Physics, 1997, v.4, N 3-4, pp.492-503.

[6] A.N.Vall, S.E.Korenblit, V.M.Leviant, D.V.Naumov, A.V.Sinitskaya,

Two- and Three-particle States in a Nonrelativistic Four-fermion Model in

the Fine-tuning Renormalization Scheme. Goldstone Mode Versus Extension Theory,

Few-Body Systems, 2001, v. 30, N 3, pp. 187-209

[7] S.E.Korenblit and V.V.Semenov,

Massless Pseudo-scalar Fields and Solution of the Federbush Model,

Journal of Nonlinear Mathematical Physics, 2006, v.13, N 2, pp.271-284.

[8] S.E. Korenblit and Kieun Lee,

Disappearance of Schwinger's string at the charge–monopole "molecule",

Modern Physics Letters A (MPLA) 2010, v. 25, N 2, pp. 91--100.

[9] S.E. Korenblit and V.V. Semenov,

Massless Thirring Model in Canonical Quantization Scheme,

Journal of Nonlinear Mathematical Physics, 2011, v. 18, N 1, pp. 65-74.

(arXiv: hep-th/1003.1439 v2)

[10] V.V. Semenov and S.E. Korenblit,

Finite temperature Thirring model: from linearization through canonical transformations

to correct normal form of thermofield solution. (arxiv.org/abs/1109.2278)

[11] S. E. Korenblit and V.V. Semenov,

On thermofield bosonization in the Thirring model, tilde conjugation rules, and thermofield vacuum averages.

С.Э. Коренблит, В.В. Семенов,

О термополевой бозонизации в модели Тирринга, правилах тильда - сопряжения и термополевых вакуумных средних.

Известия высших учебных заведений. Физика. Т. 55, № 9 2012

[12] S.E. Korenblit and D.V. Taychenachev.

Extension of Grimus -- Stockinger formula from operator expansion of free Green function.

Modern Physics Letters A (MPLA) v. 30, No 14, (2015) 1550074.

[13] S.E. Korenblit and A.V. Sinitskaya.

On asymptotic power corrections to differential fluxes and generalization of optical theorem for potential scattering.

Modern Physics Letters A (MPLA) v. 32, No 11, (2017) 1750066.

(arXiv: quant-ph/1607.00625 v2)

[14] Mir Faizal, S.E. Korenblit, A.V. Sinitskaya, Sudhaker Upadhyay.

Corrections to scattering processes due to minimal measurable length.

Physics Letters B (PLB) v.794 (2019) P. 1–6. or DOI or (arXiv: 1808.01894v2 [hep-th])

[15] С. Э. Коренблит, С. В. Ловцов, А. В. Синицкая.

Предасимптотический анализ задачи рассеяния.

Письма в ЖЭТФ. том 110, № 5, (2019) стр. 291.

Прочее (Miscellaneous)

Некоторые полезные линки:

Различные лекции разных авторов

On line -- лекции по теоретической физике.

На каждого мудреца довольно простоты: elementy.ru

E-print архивы:

arxiv.org, или ru.arxiv.org, или eprintweb.org , или spires hep

Заказ книг по Интернету:

URSS , а также партнеры URSS , а также RCD

Заказ книг и советских учебников