Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 148, Number 1, Pages 133–142
DOI: https://doi.org/10.4213/tmf2064 (Mi tmf2064) 		 
This article is cited in 26 scientific papers (total in 26 papers)

Notes on divergences and dimensional transmutation in Yang–Mills theory

L. D. Faddeev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (361 kB) Citations (26)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf2064
Abstract: We discuss the specificity of charge renormalization in Yang–Mills theory. We show that the values of the running coupling constant in dimensional regularization and in momentum truncation coincide. Dimensional transmutation is interpreted as replacing the dimensionless coupling constant with a dimensional invariant of the renormalization group equation.
Keywords: dimensional transmutation, renormalization group equations, dimensional regularization, momentum truncation.
Received: 02.03.2006
English version:
Theoretical and Mathematical Physics, 2006, Volume 148, Issue 1, Pages 986–994
DOI: https://doi.org/10.1007/s11232-006-0095-4
Bibliographic databases:
Language: Russian
Citation: L. D. Faddeev, “Notes on divergences and dimensional transmutation in Yang–Mills theory”, TMF, 148:1 (2006), 133–142; Theoret. and Math. Phys., 148:1 (2006), 986–994
Citation in format AMSBIB
\Bibitem{Fad06}
\by L.~D.~Faddeev
\paper Notes on divergences and dimensional transmutation in Yang--Mills theory
\jour TMF
\yr 2006
\vol 148
\issue 1
\pages 133--142
\mathnet{http://mi.mathnet.ru/tmf2064}
\crossref{https://doi.org/10.4213/tmf2064}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2283654}
\zmath{https://zbmath.org/?q=an:1177.81105}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2006TMP...148..986F}
\elib{https://elibrary.ru/item.asp?id=9277367}
\transl
\jour Theoret. and Math. Phys.
\yr 2006
\vol 148
\issue 1
\pages 986--994
\crossref{https://doi.org/10.1007/s11232-006-0095-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000240007800011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746118755}
Linking options:
  • https://www.mathnet.ru/eng/tmf2064
  • https://doi.org/10.4213/tmf2064
  • https://www.mathnet.ru/eng/tmf/v148/i1/p133
    • This publication is cited in the following 26 articles:
    1. T. A. Bolokhov, “Correlation functions of two 3-dimensional transverse potentials with power singularities”, Zap. nauchn. sem. POMI, 532 (2024), 109–118  mathnet
    2. Amin Akhavan, “The constrained state of minimum energy and the effective equation of motion”, Int. J. Mod. Phys. A, 38:15n16 (2023)  crossref
    3. T. A. Bolokhov, “Pauli–Villars Regularization for Some Models with Singular Perturbations”, J Math Sci, 275:3 (2023), 259  crossref
    4. T. A. Bolokhov, “Infrared Extensions of the Quadratic form of the Ground State of Scalar Field Theory”, J Math Sci, 264:3 (2022), 244  crossref
    5. T. A. Bolokhov, “Regulyarizatsiya Pauli–Villarsa dlya nekotorykh modelei s singulyarnym vzaimodeistviem”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 28, Zap. nauchn. sem. POMI, 509, POMI, SPb., 2021, 54–70  mathnet
    6. Liu Ya., Yu Y.-C., Chen Sh., “Three-Body Bound States of Two Bosons and One Impurity in One Dimension”, Phys. Rev. A, 104:3 (2021), 033303  crossref  mathscinet  isi
    7. Nedelko S., Voronin V., “Energy-Driven Disorder in Mean Field Qcd”, Phys. Rev. D, 103:11 (2021), 114021  crossref  mathscinet  isi
    8. T. A. Bolokhov, “Quantum Hamiltonian Eigenstates for a Free Transverse Field”, J Math Sci, 257:4 (2021), 476  crossref
    9. T. A. Bolokhov, “Infrakrasnye rasshireniya kvadratichnoi formy osnovnogo sostoyaniya skalyarnoi teorii polya”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 27, Zap. nauchn. sem. POMI, 494, POMI, SPb., 2020, 64–74  mathnet
    10. Savvidy G., “From Heisenberg-Euler Lagrangian to the Discovery of Chromomagnetic Gluon Condensation”, Eur. Phys. J. C, 80:2 (2020), 165  crossref  isi
    11. T. A. Bolokhov, “Sobstvennye sostoyaniya dlya kvantovogo gamiltoniana svobodnogo poperechnogo polya”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 26, Zap. nauchn. sem. POMI, 487, POMI, SPb., 2019, 78–99  mathnet
    12. Ivanov A.V., Xxth International Seminar on High Energy Physics (Quarks-2018), Epj Web of Conferences, 191, ed. Volkova V. Zhezher Y. Levkov D. Rubakov V. Matveev V., E D P Sciences, 2018  crossref  isi
    13. L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili, “Scientific heritage of L. D. Faddeev. Survey of papers”, Russian Math. Surveys, 72:6 (2017), 977–1081  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    14. Carlone R., Correggi M., Figari R., “Two-Dimensional Time-Dependent Point Interactions”, Functional Analysis and Operator Theory For Quantum Physics: the Pavel Exner Anniversary Volume, EMS Ser. Congr. Rep., eds. Dittrich J., Kovarik H., Laptev A., Eur. Math. Soc., 2017, 189–211  mathscinet  zmath  isi
    15. A. V. Ivanov, “About dimensional regularization in the Yang–Mills theory”, J. Math. Sci. (N. Y.), 238:6 (2019), 862–869  mathnet  crossref
    16. Zinovjev G.M., Molodtsov S.V., “Fluctuation instability of the Dirac Sea in quark models of strong interactions”, Phys. Atom. Nuclei, 79:2 (2016), 278–284  crossref  isi  elib  scopus
    17. Bagaev A.A. Pis'mak Yu.M., “The 0D Quantum Field Theory: Multiple Integrals Via Background Field Formalism”, Proceedings of the International Conference on Days on Diffraction 2016 (Dd), ed. Motygin O. Kiselev A. Kapitanova P. Goray L. Kazakov A. Kirpichnikova A., IEEE, 2016, 41–45  crossref  isi  scopus
    18. Zinov'ev G.M., Molodtsov S.V., “Quark Ensembles With the Infinite Correlation Length”, J. Exp. Theor. Phys., 120:1 (2015), 57–72  crossref  adsnasa  isi  scopus
    19. L. D. Faddeev, “A couple of methodological comments on the quantum Yang–Mills theory”, Theoret. and Math. Phys., 181:3 (2014), 1638–1642  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    20. Bagaev A.A., “Effektivnoe deistvie v formalizme fonovogo polya”, Vestnik sankt-peterburgskogo universiteta. seriya 4: fizika. khimiya, 2012, no. 3, 56–65 An effective action in the background field formalism /  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:1160
    Full-text PDF :569
    References:87
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025