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TMF, 1989, Volume 80, Number 3, Pages 363–371 (Mi tmf5248)  

The $1/N$ expansion in the $O(N)\times O(N)$ scalar theory and the problem of the restoration of symmetry at high temperatures

K. G. Klimenko


Abstract: The problem of symmetry restoration at high temperatures in the model (1) is considered. The large $N$ expansion method in space-time dimensions $d=3,4$ is used. In the case $d=4$ and $T=0$ the initial symmetry remains intact and the problem stays open. In the case $d=3$ the symmetry may be broken spontaneously at $T=0$ but it is always restored at $T\to\infty$.

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English version:
Theoretical and Mathematical Physics, 1989, 80:3, 929–935

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Received: 13.10.1987

Citation: K. G. Klimenko, “The $1/N$ expansion in the $O(N)\times O(N)$ scalar theory and the problem of the restoration of symmetry at high temperatures”, TMF, 80:3 (1989), 363–371; Theoret. and Math. Phys., 80:3 (1989), 929–935

Citation in format AMSBIB
\Bibitem{Kli89}
\by K.~G.~Klimenko
\paper The $1/N$ expansion in~the $O(N)\times O(N)$ scalar theory and the problem of~the restoration of~symmetry at~high temperatures
\jour TMF
\yr 1989
\vol 80
\issue 3
\pages 363--371
\mathnet{http://mi.mathnet.ru/tmf5248}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1026916}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 80
\issue 3
\pages 929--935
\crossref{https://doi.org/10.1007/BF01016185}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1989CY79100004}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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