Fundamental constants in effective theory
G. E. Volovik
Low Temperature Laboratory, Helsinki University of Technology, FIN-02015 HUT, Finland
L.D. Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia
PACS: 04.90.+e, 06.20.Jr, 11.90.+t, 67.90.+z
Abstract
There is a discussion between L. B. Okun, G. Veneziano and
M. J. Duff, concerning the number of fundamental dimensionful constants in
physics [Trialogue]. They advocated correspondingly 3, 2 and 0
fundamental constants. Here we consider this problem on example of the
effective relativistic quantum field theory, which emerges
in the low energy corner of quantum liquids and which reproduces
many features of our physics including Lorentz invariance, chiral fermions,
gauge fields and dynamical gravity.