RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Forthcoming papers Archive Impact factor Guidelines for authors License agreement Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Trudy MIAN: Year: Volume: Issue: Page: Find

 Tr. Mat. Inst. Steklova, 2011, Volume 272, Pages 65–83 (Mi tm3251)

Logarithmic potential $\beta$-ensembles and Feynman graphs

L. O. Chekhovabcd

a Alikhanov Institute for Theoretical and Experimental Physics, Moscow, Russia
b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
c Laboratoire J.-V. Poncelet, Moscow, Russia
d Concordia University, Montreal, Quebec, Canada

Abstract: We present a diagrammatic technique for calculating the free energy of the matrix eigenvalue model (the model with an arbitrary power of the Vandermonde determinant) to all orders of the $1/N$ expansion in the case when the limiting eigenvalue distribution spans an arbitrary (but fixed) number of disjoint intervals (curves) and when logarithmic terms are present. This diagrammatic technique is corrected and refined as compared to our first paper with B. Eynard of 2006.

Full text: PDF file (282 kB)
References: PDF file   HTML file

English version:
Proceedings of the Steklov Institute of Mathematics, 2011, 272, 58–74

Bibliographic databases:

Document Type: Article
UDC: 530.145

Citation: L. O. Chekhov, “Logarithmic potential $\beta$-ensembles and Feynman graphs”, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Collected papers. Dedicated to Academician Andrei Alekseevich Slavnov on the occasion of his 70th birthday, Tr. Mat. Inst. Steklova, 272, MAIK Nauka/Interperiodica, Moscow, 2011, 65–83; Proc. Steklov Inst. Math., 272 (2011), 58–74

Citation in format AMSBIB
\Bibitem{Che11} \by L.~O.~Chekhov \paper Logarithmic potential $\beta$-ensembles and Feynman graphs \inbook Problems of modern theoretical and mathematical physics: Gauge theories and superstrings \bookinfo Collected papers. Dedicated to Academician Andrei Alekseevich Slavnov on the occasion of his 70th birthday \serial Tr. Mat. Inst. Steklova \yr 2011 \vol 272 \pages 65--83 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3251} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2838840} \zmath{https://zbmath.org/?q=an:1227.81233} \transl \jour Proc. Steklov Inst. Math. \yr 2011 \vol 272 \pages 58--74 \crossref{https://doi.org/10.1134/S008154381101007X} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000290170500007} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79955736450} 

• http://mi.mathnet.ru/eng/tm3251
• http://mi.mathnet.ru/eng/tm/v272/p65

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Cunden F.D., Mezzadri F., Simm N., Vivo P., “Correlators for the Wigner–Smith time-delay matrix of chaotic cavities”, J. Phys. A-Math. Theor., 49:18 (2016), 18LT01
•  Number of views: This page: 187 Full text: 5 References: 23