• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Articles
  • Solution of the Dyson-Schwinger equation on de Sitter background in IR limit
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2028
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
October 6, 2026
International N5 Symposium ‘Neural Networks and Nonlinearity in Nizhny Novgorod Brings Together Scientists from Russia and Serbia
The International N5 Symposium ‘Neural Networks and Nonlinearity in Nizhny Novgorod’ was held at the Nizhny Novgorod House of Scientists from September 23 to 26. The event was organised by HSE University–Nizhny Novgorod and the Nizhny Novgorod House of Scientists, with the participation of Sberbank and the Institute of Physics Belgrade. The symposium was held for the second time: the first conference took place in 2025 and attracted considerable interest from the academic community.
October 5, 2026
‘The Climate Transition Is Not Necessarily a Limitation for Business
Linara Khadimullina works in the field of low-carbon development. In an interview with the Young Scientists of HSE project, she spoke about why nature is not just a beautiful backdrop, her research on the role of sustainable corporate governance in reducing greenhouse gas emissions, and growing plants as a source of inspiration.
October 5, 2026
Africa, Youth, and Civic Dialogue: Public Diplomacy Discussed at HSE University
In late September, HSE University hosted a roundtable discussion titled Civil Society in African Countries and Youth Participation in Public Diplomacy. Representatives of non-governmental organisations from Ghana, Ethiopia, and Russia, along with students from HSE University’s Bachelor’s Programme in Public Administration, discussed how young people without official diplomatic status can influence relations between countries and how the nonprofit sector can remain sustainable amid declining grant funding.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

Solution of the Dyson-Schwinger equation on de Sitter background in IR limit

physical review D. 2012. Vol. 86.
Akhmedov E., Бурда Ф.

We propose an ansatz which solves the Dyson-Schwinger equation for the real scalar fields in Poincare patch of de Sitter space in the IR limit. The Dyson-Schwinger equation for this ansatz reduces to the kinetic equation, if one considers scalar fields from the principal series. Solving the latter equation we show that under the adiabatic switching on and then off the coupling constant the Bunch-Davies vacuum relaxes in the future infinity to the state with the flat Gibbons-Hawking density of out-Jost harmonics on top of the corresponding de Sitter invariant out-vacuum.

Research target: Mathematics Physics
Priority areas: mathematics
Language: English
Full text
Text on another site
Keywords: field theorycurved space-timede sitter spaceparticle creationтеория поляпространство де Ситтерарождение частиц
Similar publications
To spike or not to spike: the whims of the Wonham filter in the strong noise regime
Bernardin C., Chhaibi R., Najnudel J. et al., Probability Theory and Related Fields 2026 Vol. 195 P. 1823–1875
We study the celebrated Shiryaev-Wonham filter (Wonham, W.M., in J. Soc. Ind. Appl. Math. 347–369, 1964) in its historical setup, where the hidden Markov jump process has two states. We are interested in the weak noise regime for the observation equation. Interestingly, this becomes a strong noise regime for the filtering equations. Earlier results of ...
Added: October 5, 2026
Цепная дробь Аски–Вильсона при qN=1
Ismailov A., Spiridonov V., Успехи математических наук 2026 Т. 81 № 5 С. 183–184
Получена новая формула для цепной дроби Аски–Вильсона в форме отношения двух  q-гипер-геометрических рядов. ...
Added: October 5, 2026
Исследование свойств оптического покрытия на основе упрощенного симулятора процесса напыления
Isaev T. F., Шаров А. Н., Журнал вычислительной математики и математической физики 2026 Т. 66 № 1 С. 83–93
Исследуются свойства оптических покрытий на основе использования упрощенного симулятора ошибок в толщинах слоев покрытий при их напылении. Обосновывается возможность такого подхода. Выводятся аналитические оценки среднеквадратичного значения нормы вектора ошибок и степени коррелированности ошибок в толщинах слоев покрытия. Изучается зависимость среднеквадратичного значения нормы вектора ошибок и свойств покрытия от уровня случайных ошибок в слоях. ...
Added: October 5, 2026
Prospects for an independent measurement of the l = 1, 2, 3 CMB anisotropy multipoles using the anisotropic Sunyaev-Zel’dovich effect
Осипова А. М., Пилипенко С. В., Novikov D. I. et al., Physical Review D - Particles, Fields, Gravitation and Cosmology 2026 Vol. 114 Article 063522
We investigate the prospects for observing a specific spectral distortion of the cosmic microwave background, which occurs due to the anisotropy of the radiation when it is scattered by hot plasma of galaxy clusters. Detection of this anisotropic Sunyaev-Zel’dovich effect would enable an independent measurement of the CMB anisotropy multipoles with l 1⁄4 1, 2, 3, allow the ...
Added: October 5, 2026
Explicit Formula for Inverse and Determinant in Geometric Algebras over Odd-dimensional Vector Spaces
Abdulkhaev K., Shirokov D., Advances in Applied Clifford Algebras 2026 Vol. 36 P. 1–21
In this paper, we present explicit formulas for the inverse and determinant in geometric (Clifford) algebras over vector spaces of dimension n = 7. The derivation of these formulas is made possible by generalizing the concept of conjugation to basis conjugation operations. We further develop a general method for constructing such formulas over odd-dimensional spaces ...
Added: October 4, 2026
Nanometer thick iron garnet films with high Faraday rotation
Gribova N. I., Osmanov S. V., Lyashko S. D. et al., Journal of Magnetism and Magnetic Materials 2025 No. 614 P. 1–8
Here we demonstrate nanometer thick iron garnet films with high specific Faraday rotation suitable for the magneto-optical applications. Bismuth-substituted iron garnet films of compositions Bi1Y2Fe5O12 and Bi1Tm2Fe5O12 deposited on gadolinium gallium garnet substrate are fabricated and characterized. Their thicknesses range from 2 to 10 nm, which corresponds to just a few crystal lattice constants. Spectacularly, Faraday rotation of the ...
Added: October 4, 2026
On Practical Aspects of Constructing Quasi-Cyclic Subfield Subcodes of Dual Elliptic Codes and Their Application in McEliece-type Cryptosystems
Kuninets A., IEEE Transactions on Information Theory 2026 P. 1–1
In this work we study the applicability of Quasi-Cyclic Subfield Subcodes of Dual Elliptic (QC-SSDE) codes for integration into code-based cryptographic schemes. Detailed algorithms are provided for constructing parity-check matrices as well as block-circulant parity-check matrices for this family of codes, accompanied by empirical results that enable the construction of QC-SSDE codes with predetermined dimensions. ...
Added: October 3, 2026
Enhancement of superconductivity by polarization of magnetic impurities in disordered films
Seleznev G., Fominov Yakov V., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 No. 7 Article 074505
Dirty superconducting films with magnetic impurities can exhibit nontrivial behavior in a magnetic field that polarizes the impurity spins. As predicted by Kharitonov and Feigelman (KF) [JETP Lett. 82, 421 (2005)], this polarization reduces the exchange scattering rate. Consequently, a parallel magnetic field can enhance the critical temperature Tc when magnetic-field pair breaking is weak, as realized for ...
Added: October 2, 2026
Advances in colloidal anisotropic nanocrystals for high-efficiency light-emitting diodes
Zhukov A., Chen F., Zeng Y. et al., Nanoscale 2026 Vol. 18 No. 36 P. 19223–19253
Colloidal semiconductor nanocrystals have emerged as promising materials for next-generation light-emitting diodes (LEDs) owing to their solution processability, tunable emission wavelengths, narrow emission linewidths, and high photoluminescence quantum yields. Among them, anisotropic nanocrystals, including one-dimensional nanorods (NRs) and two-dimensional nanoplatelets (NPLs), offer additional opportunities for controlling transition dipole moment orientation and light out-coupling efficiency. These ...
Added: October 2, 2026
Graphon spin systems as exactly solvable models
Medvedev G., Alexandrov Artem, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 Article 044102
Graphons are measurable functions used to describe the asymptotic behavior of convergent graph families. Originally motivated by problems in combinatorics and graph theory, graphons have found numerous applications in the modeling and analysis of dynamical processes on networks. In this work, we use graphons to formulate the Ising model on convergent graph sequences, which include ...
Added: October 2, 2026
Improved measurement of Born cross sections for chi_bJ omega and chi_bJ (pi+ pi- pi0)non-omega (J = 0, 1, 2) at Belle and Belle II
Uglov T., Pakhlov P., Bodrov D. et al., Journal of High Energy Physics 2026 Vol. 04 Article 101
We study the processes chi_bJ omega and chi_bJ (pi+ pi- pi0)non-omega (J = 0, 1, 2) at center-of-mass energies sqrt(s) from 10.73 to 11.02 GeV using a 142.5 fb^-1 data sample collected with the Belle detector at the KEKB asymmetric-energy e+e- collider; and at sqrt(s) ~ 10.75 GeV using a 19.8 fb^-1 sample collected with ...
Added: October 2, 2026
Observation of e+e- -> eta Upsilon(2S) and search for e+e- -> eta Upsilon(1S), gamma X_b at sqrt(s) near 10.75 GeV
Uglov T., Pakhlov P., Bodrov D. et al., Physical Review Letters 2026 Vol. D No. 113 Article L051102
We present an analysis of the processes e+ e- -> eta Upsilon(1S), eta Upsilon(2S), and gamma X_b with X_b -> pi+ pi- chi_bJ, chi_bJ -> gamma Upsilon(1S) (J = 1, 2) reconstructed from gamma gamma pi+ pi- l+ l- (l = e, mu) final states in 19.6 fb^-1 of Belle II data collected at four ...
Added: October 2, 2026
First Search for B -> Xs nu nubar Decays
Bodrov D., Pakhlova G., Aushev Т. et al., Physical Review Letters 2026 Vol. 136 No. 23 Article 231801
We report the first search for the flavor-changing neutral-current decays B -> Xs nu nubar, where Xs is a hadronic system with strangeness equal to 1, in data collected with the Belle II detector at the SuperKEKB asymmetric-energy e+ e- collider. The data sample corresponds to an integrated luminosity of 365 fb^-1 collected at the ...
Added: October 2, 2026
Search for e+ e- -> gamma chi_bJ (J = 0, 1, 2) near sqrt(s) = 10.746 GeV at Belle II
Pakhlova G., Bodrov D., Aushev Т. et al., Physical Review Letters 2026 Vol. D No. 113 Article 052009
We search for the e+ e- -> gamma chi_bJ (J = 0, 1, 2) processes at center-of-mass energies sqrt(s) = 10.653, 10.701, 10.746, and 10.804 GeV. These data were collected with the Belle II detector at the SuperKEKB collider and correspond to 3.5, 1.6, 9.8, and 4.7 fb^-1 of integrated luminosity, respectively. We set upper ...
Added: October 2, 2026
Measurement of inclusive B -> Xu l nu partial branching fractions and |Vub| at Belle II
Bodrov D., Pakhlova G., Aushev Т. et al., Physical Review Letters 2026 Vol. D No. 113 Article 032004
A sample of 365 fb^-1 of e+ e- -> Upsilon(4S) -> B Bbar data collected by the Belle II experiment is used to measure the partial branching fractions of charmless semileptonic B meson decays and determine the magnitude of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element V_ub. Events containing a signal electron or muon l and a ...
Added: October 2, 2026
Measurement of the CP asymmetry in D0 -> pi+ pi- pi0 decays at Belle II
Bodrov D., Pakhlova G., Aushev Т. et al., Physical Review Letters 2026 Vol. D No. 113 Article 052006
We measure the time- and phase-space-integrated CP asymmetry ACP in D0 -> pi+ pi- pi0 decays reconstructed in e+ e- -> c cbar events collected by the Belle II experiment from 2019 to 2022. This sample corresponds to an integrated luminosity of 428 fb^-1. We require D0 mesons to be produced in D*+ -> D0 ...
Added: October 2, 2026
Study of e+e- -> h+h- J/psi (h = pi, K, p) via initial-state radiation at Belle II
Pakhlov P., Pakhlova G., Bodrov D. et al., Physical Review Letters 2026 Vol. D No. 113 Article 112010
Using a data sample of 427.9 fb^-1 collected by the Belle II detector at or near the Upsilon(4S) and Upsilon(10753) resonances, the cross sections for e+ e- -> h+ h- J/psi (h = pi/K/p) at center-of-mass energies ranging from 3.8 GeV or the production threshold to 5.5/6.0/7.0 GeV have been measured via initial-state radiation. The ...
Added: October 2, 2026
Measurements of the mass difference m(B0) - m(B+) and the energy dependence of the cross-section ratio sigma(e+e- -> B0 Bbar0) / sigma(e+e- -> B+ B-) at Belle and Belle II
Bodrov D., Pakhlova G., Aushev Т. et al., Journal of High Energy Physics 2026 Vol. 05 Article 175
Using data samples collected by the Belle and Belle II experiments at the Upsilon(4S) resonance with integrated luminosities of 571 fb^-1 and 365 fb^-1, respectively, we measure the pseudoscalar B-meson mass difference to be m(B0) - m(B+) = (0.495 +/- 0.024 +/- 0.005) MeV/c^2. The results are based on a simultaneous fit to the variable ...
Added: October 2, 2026
Search for CP violation in Xi_c+ -> Sigma+ h+ h- and Lambda_c+ -> p h+ h- at Belle II
Bodrov D., Pakhlova G., Abumusabh М., Physical Review Letters 2026 Vol. D No. 113 Article 032017
We report decay-rate CP asymmetries of the singly-Cabibbo-suppressed decays Xi_c+ -> Sigma+ h+ h- and Lambda_c+ -> p h+ h-, with h=K, pi, measured using 428 fb^-1 of e+ e- collisions collected by the Belle II experiment at the SuperKEKB collider. The results, ACP(Xi_c+ -> Sigma+ K+ K-) = (3.7 +/- 6.6 +/- 0.6)%, ACP(Xi_c+ ...
Added: October 2, 2026
Планетарное зацепление трилистника
Pochinka O., Baranov D., Nozdrinova E., Теоретическая и математическая физика 2026 Т. 229 № 1 С. 3–14
The Birman–Williams problem on describing the planetary link of a fibered knot K in S^3 has been partially solved. Using Nielsen's theory for the classification of periodic surface homeomorphisms and its close relationship with the theory of gradient-like diffeomorphisms, it is proved that the planetary link of the trefoil (the unique periodic fibered knot of genus ...
Added: October 2, 2026
Study of B+ -> mu+ nu_mu decays at Belle and Belle II
Pakhlov P., Pakhlova G., Bodrov D. et al., Physical Review Letters 2026 Vol. D No. 113 Article 112012
We report a measurement of the branching fraction for the leptonic decay B+ -> mu+ nu_mu. This work presents the first B+ -> mu+ nu_mu result using Belle II data, an updated Belle measurement that supersedes the previous result, and their combination, which yields the most precise search to date. The analysis is based on ...
Added: October 2, 2026
Pairings on the algebra of Laurent series over a ring
Levashev V., / Series arXiv "math". 2026. No. 2609.06010.
We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity. ...
Added: September 24, 2026
Iterative construction of the R-matrices in arbitrary dimensions
Pyatov P. N., Pivovarov P. A., / Series math "arxiv.org". 2026. No. 2609.06274.
We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matrices. In each sequence the R-matrices act on the tensor squares of vector spaces of linearly growing dimensions. Each R-matrix also depends on a single complex parameter. By analyzing the ...
Added: September 24, 2026
On static manifolds with boundary admitting a nowhere-vanishing static potential
Medvedev V., / Series arXiv "math". 2026.
We study complete static manifolds with boundary admitting a nowhere-vanishing static potential. Our main result shows that, under a natural lower bound relating the scalar curvature and the boundary mean curvature, a simple static manifold with boundary must in fact have positive scalar curvature, negative boundary mean curvature, and be compact; we also obtain explicit ...
Added: September 19, 2026
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit