Geodesic
Modified critical behavior in the~$\varphi^4(O_n)$ model
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 168-172

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In the standard $\varphi^4(O_n)$ model, a critical regime in which the coupling constant $g$ of the $\varphi^4$ decreases as a certain given power $\tau^\alpha$ as $\tau\equiv T-T_c\to0$ is considered. From the point of view of physics, such a formulation of the problem corresponds to a certain class of trajectories of approach to the triple point in the two-dimensional plane of the physical parameters of the system. It is shown that in such a “modified critical regime” all the critical dimensions can be expressed in terms of the specified value of the exponent $\alpha$ and the ordinary critical dimensions of the $\varphi^4$ model known in the form of $4-\varepsilon$ expansions. 
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     author = {V. F. Borin and A. N. Vasil'ev and M. Yu. Nalimov},
     title = {Modified critical behavior in the~$\varphi^4(O_n)$ model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {168--172},
     publisher = {mathdoc},
     volume = {91},
     number = {1},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a12/}
}
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V. F. Borin; A. N. Vasil'ev; M. Yu. Nalimov. Modified critical behavior in the~$\varphi^4(O_n)$ model. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 168-172. http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a12/