Abstract:
The On-symmetrical Φ4-theory in half space is investigated. Below critical temperature free propagators are obtained in this theory without external field, and their dependence from boundary conditions is studied. The general forms of Goldstone asymptotics of different correlators being functions of small external fields, momenta and large distances from the boundary of the system are determined.
Citation:
M. Yu. Nalimov, “The perturbation expansion and goldstone singularities in the ordered phase of the On-symmetrical Φ4-theory in half space”, TMF, 102:2 (1995), 223–236; Theoret. and Math. Phys., 102:2 (1995), 163–172
\Bibitem{Nal95}
\by M.~Yu.~Nalimov
\paper The perturbation expansion and goldstone singularities in the ordered phase of the $O_n$-symmetrical $\mathbf \Phi^4$-theory in half space
\jour TMF
\yr 1995
\vol 102
\issue 2
\pages 223--236
\mathnet{http://mi.mathnet.ru/tmf1262}
\zmath{https://zbmath.org/?q=an:0854.60104}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 102
\issue 2
\pages 163--172
\crossref{https://doi.org/10.1007/BF01040397}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RQ88800006}
Linking options:
https://www.mathnet.ru/eng/tmf1262
https://www.mathnet.ru/eng/tmf/v102/i2/p223
This publication is cited in the following 4 articles:
Volchenkov, D, “Renormalization group and instantons in stochastic nonlinear dynamics”, European Physical Journal-Special Topics, 170 (2009), 1
Michael Krech, “Surface scaling behavior of isotropic Heisenberg systems: Critical exponents, structure factor, and profiles”, Phys. Rev. B, 62:10 (2000), 6360
D. Volchenkov, R. Lima, “A phase transition in water coupled to a local external perturbation”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 10:4 (2000), 803
V G Dubrovsky, “The application of the -dressing method to some integrable -dimensional nonlinear equations”, J. Phys. A: Math. Gen., 29:13 (1996), 3617