Geodesic
Regular expansion for calculation of the renormalization-group functions in a~theory with dimensional coupling constants
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 2, pp. 210-224

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A new regular (possessing a small parameter $\zeta$) expansion for calculating the renormalization-group functions in the theory with interaction $g\Phi^4+\lambda\Phi^6$ directly in three-dimensional space is constructed. Depending on the values of the renormalized charges, the theory exhibits regular tricritical or critical behavior. The critical exponents calculated in the first order in $\zeta$ are equal to those calculated in the framework of the $4-\varepsilon$-expansion. 
@article{TMF_1986_68_2_a4,
     author = {M. Yu. Nalimov},
     title = {Regular expansion for calculation of the renormalization-group functions in a~theory with dimensional coupling constants},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {210--224},
     publisher = {mathdoc},
     volume = {68},
     number = {2},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a4/}
}
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M. Yu. Nalimov. Regular expansion for calculation of the renormalization-group functions in a~theory with dimensional coupling constants. Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 2, pp. 210-224. http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a4/