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

Jul, 2006
11 pages
Published in:
  • Nucl.Phys.B 765 (2007) 287-298
e-Print:

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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.
  • gauge field theory: SU(N)
  • dimension: 1
  • mass spectrum
  • membrane model
  • Hamiltonian formalism
  • potential
  • mass: gap
  • quantum mechanics
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