caa a22 4500 467910480 CHVBK 20180406152848.0 cr unu---uuuuu 170328e20060301xx s 000 0 eng 10.1007/s11232-006-0041-5 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0041-5 Epsilon-expansion in the N -component ϕ 4 model [Elektronische Daten] [M. Missarov, R. Stepanov] The formalism of projection Hamiltonians is applied to the N-component O(N)-invariant ϕ4 model in the Euclidean and p-adic spaces. We use two versions of the ε-expansion (with ε = 4 − d and with ε = α − 3d/2, where α is the renormalization group parameter) and evaluate the critical indices ν and η up to the second order of the perturbation theory. The results for the (4− d)-expansion then coincide with the known results obtained via the quantum-field renormalization-group methods. Our calculations give evidence that in dimension three, both expansions describe the same non-Gaussian fixed point of the renormalization group. Springer Science+Business Media, Inc., 2006 ε -expansion nationallicence renormalization group nationallicence Euclidean models nationallicence p -adic models nationallicence perturbation theory nationallicence critical indices nationallicence Missarov M. Kazan State University, Kazan, Russia aut Stepanov R. Kazan State University, Kazan, Russia aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/3(2006-03-01), 304-320 0040-5779 146:3<304 2006 146 11232 https://doi.org/10.1007/s11232-006-0041-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0041-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Missarov M. Kazan State University, Kazan, Russia aut NATIONALLICENCE 700 1- Stepanov R. Kazan State University, Kazan, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/3(2006-03-01), 304-320 0040-5779 146:3<304 2006 146 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer