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

M. P. Garcia del Moral·L. Navarro·A. J. Perez A.·A. Restuccia
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Abstract

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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M. P. Garcia del Moral, L. Navarro, A. J. Perez A., A. Restuccia. 2006-11-07. Intrinsic Moment of Inertia of Membranes as bounds for the mass gap of Yang-Mills Theories. https://doi.org/10.1016/j.nuclphysb.2006.12.006

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