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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 473, Pages 174–193 (Mi znsl6661)  
Conformal limit for dimer models on the hexagonal lattice

D. Keatinga, N. Reshetikhinbca, A. Sridhard

a Department of Mathematics, University of California, Berkeley, CA 94720, USA
b St. Petersburg University, Russia
c KdV Institute for Mathematics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
d Google LLC
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Abstract: In this note we derive the asymptotical behavior of local correlation functions in dimer models on a domain of the hexagonal lattice in the continuum limit, when the size of the domain goes to infinity and parameters of the model scale appropriately.
Key words and phrases: dimer models, Dirac fermions, Kasteleyn operator, Burgers equation, conformal correlation functions.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00916_а
National Science Foundation DMS-1601947
This work was partially supported by the NSF grant DMS-1601947. N.R. also acknowledges the support from the RFBR grant No. 18-01-00916.
Received: 22.11.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 242, Issue 5, Pages 701–714
DOI: https://doi.org/10.1007/s10958-019-04508-2
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: D. Keating, N. Reshetikhin, A. Sridhar, “Conformal limit for dimer models on the hexagonal lattice”, Questions of quantum field theory and statistical physics. Part 25, Zap. Nauchn. Sem. POMI, 473, POMI, St. Petersburg, 2018, 174–193; J. Math. Sci. (N. Y.), 242:5 (2019), 701–714
Citation in format AMSBIB
\Bibitem{KeaResSri18}
\by D.~Keating, N.~Reshetikhin, A.~Sridhar
\paper Conformal limit for dimer models on the hexagonal lattice
\inbook Questions of quantum field theory and statistical physics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 473
\pages 174--193
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6661}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 242
\issue 5
\pages 701--714
\crossref{https://doi.org/10.1007/s10958-019-04508-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074215727}
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