Scale Symmetry Breaking from the Dynamics of Maximal Rank Gauge Field Strengths

Details Scale Symmetry Breaking from the Dynamics of Maximal Rank Gauge Field Strengths Scale Symmetry Breaking from the Dynamics of Maximal Rank Gauge Field Strengths

2003-06-17

arxiv.org/abs/hep-th/0306162v2

Int.J.Mod.Phys. A19 (2004) 3255

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex, no figures, references added

Scientific paper

10.1142/S0217751X04019317

Scale invariant theories which contain maximal rank gauge field strengths (of $D$ indices in $D$ dimensions) are studied. The integration of the equations of motion of these gauge fields leads to the s.s.b. of scale invariance. The cases in study are: i) the spontaneous generation of $r^{-1}$ potentials in particle mechanics in a theory that contains only $r^{-2}$ potentials in the scale invariant phase, ii) mass generation in scalar field theories iii) generation of non trivial dilaton potentials in generally covariant theories, iv) spontaneous generation of confining behavior in gauge theories. The possible origin of these models is discussed.

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