scale symmetry

scale symmetry

[′skāl ‚sim·ə·trē]
(physics)
The property of certain physical systems whereby their equations of motion in classical mechanics are unchanged when the space and time variables are rescaled; for example, for a point particle moving in a plane in a potential given by a delta function at the origin, when the vector giving the particle's position r is replaced by sr and the time t is replaced by s 2 t, where s is any number.
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References in periodicals archive ?
Thus the GUT scale symmetry breaking SO(10) [right arrow] [G.sub.224D] can occur by the VEV of [54.sub.H] in the direction (%) ~ MGUT, but SO(10) [right arrow] [G.sub.224] can occur by the VEV of [210.sub.H] in the direction <[[eta].sub.o]> ~ [M.sub.GUT].
Inspection suggests a moderate effect for both dimension relevance and scale symmetry. Comparison within scale format reveals that the levels of association between relevant dimensions and concurrent criteria are in most instances greater than those between less relevant dimensions and the same criteria, although the differences are not statistically significant.
As will be seen, Born-Infeld-like electrodynamics and Pagels-Tomboulis electrodynamics are equivalent, while three-dimensional Euler-Heisenberg-like electrodynamics is analogous to that encountered in both a three-dimensional gluodynamics and a three-dimensional Yang-Mills with spontaneous symmetry breaking of scale symmetry in the short distance regime [25].
The interest in this question emerges from the connection between scale symmetry breaking and confinement [25,27-29], as well as from the one-loop effective action for QCD, where this new QCD vacuum acts like a dielectric medium and leads to confinement [17].
Helayel-Neto, "On scale symmetry breaking and confinement in D = 3 models," Journal of Physics.
Guendelman, "Confinement from spontaneous breaking of scale symmetry," Physics Letters B, vol.