RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
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


TMF, 2015, Volume 182, Number 2, Pages 294–314 (Mi tmf8726)  

Fermion mass generation and induced current in low-dimensional models with nontrivial topology

V. Ch. Zhukovskii, E. A. Stepanov

Lomonosov Moscow State University, Moscow, Russia

Abstract: We study the process of dynamical fermion mass generation in a three-dimensional model with two types of interacting fermions existing in three dimensions and on a two-dimensional brane with the action of the $A_3$ gauge field taken into account. We investigate the model of a nanotube with the dimension $\mathbb R^2\times S^1$. We establish that in the expression for the fermionic gap, along with the dynamical contribution of the condensate $m$, the four-fermion interaction results in another kinematic contribution, an Aharonov–Bohm phase calculated from the condition of a minimum of the effective potential of the model. We demonstrate the possibility of induced current generation due to the effect of vacuum polarization with the role played by the nontrivial topology of the problem taken into account.

Keywords: chiral condensate, Kaluza–Klein model, mass hierarchy problem, low-dimension system

DOI: https://doi.org/10.4213/tmf8726

Full text: PDF file (905 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2015, 182:2, 246–263

Bibliographic databases:

PACS: 11.30.Qc, 11.30.Rd, 12.38.Mh, 12.39.-x, 21.65.-f
MSC: 539.12.01
Received: 10.06.2014

Citation: V. Ch. Zhukovskii, E. A. Stepanov, “Fermion mass generation and induced current in low-dimensional models with nontrivial topology”, TMF, 182:2 (2015), 294–314; Theoret. and Math. Phys., 182:2 (2015), 246–263

Citation in format AMSBIB
\Bibitem{ZhuSte15}
\by V.~Ch.~Zhukovskii, E.~A.~Stepanov
\paper Fermion mass generation and induced current in low-dimensional models with nontrivial topology
\jour TMF
\yr 2015
\vol 182
\issue 2
\pages 294--314
\mathnet{http://mi.mathnet.ru/tmf8726}
\crossref{https://doi.org/10.4213/tmf8726}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3370582}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2015TMP...182..246Z}
\elib{http://elibrary.ru/item.asp?id=23421717}
\transl
\jour Theoret. and Math. Phys.
\yr 2015
\vol 182
\issue 2
\pages 246--263
\crossref{https://doi.org/10.1007/s11232-015-0260-8}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000350668000007}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84924352543}


Linking options:
  • http://mi.mathnet.ru/eng/tmf8726
  • https://doi.org/10.4213/tmf8726
  • http://mi.mathnet.ru/eng/tmf/v182/i2/p294

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:197
    Full text:64
    References:55
    First page:40

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020