arXiv subjects

A. Pikelner

Publications and source records attributed to A. Pikelner.

3 recordsLinked to original sources

arXiv2022

Critical behavior of isotropic systems with strong dipole-dipole interaction: three-loop study

We analyze the critical behavior of isotropic systems with dipole-dipole interaction by renormalization-group methods in fixed space-time dimensions. Working in three-dimensional theory we analytically find three-loop expressions for critical exponents in the limit of dominating dipole-dipole forces. Resummation of the series obtained provides numerical values close to $O(3)$-theory predictions, justifying the applicability of such a simplified model to systems with strong dipole-dipole interaction.

cond-mat.stat-mech↗

arXiv2018

Five-Particle Phase-Space Integrals in QCD

We present analytical expressions for the 31 five-particle phase-space master integrals in massless QCD as an $ε$-series with coefficients being multiple zeta values of weight up to 12. In addition, we provide a computer code for the Monte-Carlo integration in higher dimensions, based on the RAMBO algorithm, that has been used to numerically cross-check the obtained results in 4, 6, and 8 dimensions.

hep-ph↗

arXiv2018

Five-Particle Phase-Space Integrals in QCD

We present analytical expressions for the 31 five-particle phase-space master integrals in massless QCD as an $ε$-series with coefficients being multiple zeta values of weight up to 12. In addition, we provide computer code for the Monte-Carlo integration in higher dimensions, based on the RAMBO algorithm, that has been used to numerically cross-check the obtained results in 4, 6, and 8 dimensions.

hep-ph↗