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, 2012, Volume 170, Number 2, Pages 165–173 (Mi tmf6756)  

Chirality-violating condensates in QCD and their connection with zero-mode solutions of quark Dirac equations

B. L. Ioffe

Institute of Theoretical and Experimental Physics, Moscow, Russia

Abstract: We demonstrate that chirality-violating condensates in massless QCD arise entirely from zero-mode solutions of the Dirac equation in arbitrary gluon fields. We propose a model in which the zero-mode solutions are the ones for quarks moving in the instanton field and calculate the quark condensate magnetic susceptibilities $\chi$ of dimension three and $\kappa$ and $\xi$ of dimension five based on this model. The good correspondence of the values of $\chi$, $\kappa$, and $\xi$ obtained using this approach with the values found from the hadronic spectrum is a serious argument that instantons are the only source of chirality-violating condensates in QCD. We discuss the temperature dependence of the quark condensate and show that the phase transition corresponding to the temperature dependence $\alpha(T)$ of the quark condensate as an order parameter is a crossover-type transition.

Keywords: zero mode, instanton, condensate

DOI: https://doi.org/10.4213/tmf6756

Full text: PDF file (388 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2012, 170:2, 132–138

Bibliographic databases:

Received: 12.02.2012

Citation: B. L. Ioffe, “Chirality-violating condensates in QCD and their connection with zero-mode solutions of quark Dirac equations”, TMF, 170:2 (2012), 165–173; Theoret. and Math. Phys., 170:2 (2012), 132–138

Citation in format AMSBIB
\Bibitem{Iof12}
\by B.~L.~Ioffe
\paper Chirality-violating condensates in QCD and their connection with zero-mode solutions of quark Dirac equations
\jour TMF
\yr 2012
\vol 170
\issue 2
\pages 165--173
\mathnet{http://mi.mathnet.ru/tmf6756}
\crossref{https://doi.org/10.4213/tmf6756}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3168830}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2012TMP...170..132I}
\elib{http://elibrary.ru/item.asp?id=20732411}
\transl
\jour Theoret. and Math. Phys.
\yr 2012
\vol 170
\issue 2
\pages 132--138
\crossref{https://doi.org/10.1007/s11232-012-0015-8}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000301478500001}
\elib{http://elibrary.ru/item.asp?id=17979410}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857947962}


Linking options:
  • http://mi.mathnet.ru/eng/tmf6756
  • https://doi.org/10.4213/tmf6756
  • http://mi.mathnet.ru/eng/tmf/v170/i2/p165

    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:335
    Full text:80
    References:53
    First page:16

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019