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

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 t

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D=3

SU(N)

D=11

1

D0

2

D=11

SU(N)

3

D+1

SU(N)

4

0+1