Speaker
Aleksandr Golovin
(MSU branch in Dubna city)
Description
We derive a system of generalized renormalization-group equations for the effective potential of an arbitrary scalar field theory with mass based on the Bogoliubov-Parasiuk theorem on locality of counterterms. These equations sum up the leading logarithmically divergent contributions and represent a system of nonlinear partial differential equations of the second order. We show that in some cases this system can be reduced to a system of ordinary differential equations and solved using numerical methods. In particular, for the renormalizable quartic potential, the solution can be obtained analytically recovering known well-known solutions.
Authors
Aleksandr Golovin
(MSU branch in Dubna city)
Dmitry Kazakov
(JINR)
Ravil Iakhibbaev
(JINR BLTP)
D.M. Tolkachev
(BLTP, JINR)
V.A. Filippov
(BLTP, JINR)
