Intrinsic moment of inertia of membranes as bounds for the mass gap of Yang-Mills theories

Garcia del Moral, M. P.; Navarro, L.; Perez, A. J.; Restuccia, A.

Abstract

We obtain the precise condition on the potentials of Yang-Mills theories in 0 + 1 dimensions and D0-brane quantum mechanics ensuring the discreteness 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. (c) 2007 Elsevier B.V. All rights reserved.

Más información

Título según WOS: ID WOS:000245846900003 Not found in local WOS DB
Título de la Revista: NUCLEAR PHYSICS B
Volumen: 765
Número: 3
Editorial: ELSEVIER SCIENCE BV
Fecha de publicación: 2007
Página de inicio: 287
Página final: 298
DOI:

10.1016/j.nuclphysb.2006.12.006

Notas: ISI