Результаты исследований: Научные публикации в периодических изданиях › статья
Scaling violation in massless scalar quantum field models in logarithmic dimensions. / Pismensky, A.L.; Pis'mak, Yu.M.
в: Journal of Physics A: Mathematical and Theoretical, № 32, 2015, стр. None.Результаты исследований: Научные публикации в периодических изданиях › статья
}
TY - JOUR
T1 - Scaling violation in massless scalar quantum field models in logarithmic dimensions
AU - Pismensky, A.L.
AU - Pis'mak, Yu.M.
PY - 2015
Y1 - 2015
N2 - © 2015 IOP Publishing Ltd.The renormalization group method is used in the calculation of the asymptotic of the propagator in quantum field models in the logarithmic dimension. Corrections to the well-known main approximations are computed. The four-loop contribution in the self-energy operator, obtained by us, and the results that are best-known today, namely the five-loop approximations of the β-function and of the anomalous field dimension η, are used in the renormalized four-dimensional O(N)-symmetric φ4 theory. The triviality of this model is discussed.
AB - © 2015 IOP Publishing Ltd.The renormalization group method is used in the calculation of the asymptotic of the propagator in quantum field models in the logarithmic dimension. Corrections to the well-known main approximations are computed. The four-loop contribution in the self-energy operator, obtained by us, and the results that are best-known today, namely the five-loop approximations of the β-function and of the anomalous field dimension η, are used in the renormalized four-dimensional O(N)-symmetric φ4 theory. The triviality of this model is discussed.
U2 - 10.1088/1751-8113/48/32/325401
DO - 10.1088/1751-8113/48/32/325401
M3 - Article
SP - None
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 32
ER -
ID: 4012958