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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 20, 2011 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)

Dimensional Reduction in $(1+2)$-dim Cylindrical Universes and Klein–Gordon Waves

P. P. Fiziev, D. V. Shirkov

Abstract: This work develops the recent proposition to use dimensional reduction from the four-dimensional space-time ($D=1+3$) to the one with a smaller number of dimensions $D=(1+d)$; $d<3$ at small distances for construction of renormalizable quantum field theory.
The nonstatic models of space geometry with cylinder symmetry are under consideration. Besides, to make these models closer to physical reality, we define the set of ‘admissible’ shape functions $\rho(t,z)$ by solving the Einstein equations in the $(1+2)$-dim space-time. Few explicit solutions of the Klein–Gordon equation in this set are given.