Intrinsic Moment of Inertia of Membranes as bounds for the mass gap of Yang-Mills Theories

Details Intrinsic Moment of Inertia of Membranes as bounds for the mass gap of Yang-Mills Theories Intrinsic Moment of Inertia of Membranes as bounds for the mass gap of Yang-Mills Theories

2006-07-28

arxiv.org/abs/hep-th/0607234v2

Nucl.Phys.B765:287-298,2007

Physics

High Energy Physics

High Energy Physics - Theory

12pages, Latex, minor changes, more explanatory comments

Scientific paper

10.1016/j.nuclphysb.2006.12.006

We obtain the precise condition on the potentials of Yang-Mills theories in 0+1 dimensions and D0 brane quantum mechanics ensuring the discretness of the spectrum. It is given in terms of a moment of inertia of the membrane. From it we obtain a bound for the mass gap of any D+1 Yang-Mills theory in the slow-mode regime. In particular we analyze the physical case D=3. The quantum mechanical behavior of the theories, concerning its spectrum, is determined by harmonic oscillators with frequencies given by the inertial tensor of the membrane. We find a class of quantum mechanic potential polynomials of any degree, with classical instabilities that at quantum level have purely discrete spectrum.

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