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Coleman. 1 over N (1980)(L)(T)(36s).djvu |
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scattering graph, it is impossible to divide the meson legs into
two sets unconnected by quark lines...
In the Abelian case that
occupies us at the moment such a background field has a real effect
on the physics, and an interesting one...
In the light-cone Schrodinger
formalism, the state of the system is given at fixed x , and
dynamics is defined by the operator that generates x -translations,
P ...
We
want an Interaction that will be effective in a totally anti-
antisymmetric color state; thus each quark line should carry a different
color index, and breaking the quark lines costs us a factor of
N from lost index sums...
Thus, if we factor out the color part of the
wave function, the quarks act like identical bosons; in the baryon
ground state, all the quarks will be in the same state, the ground
state of the Hartree potential...
In this case, all the quarks must be of the
-56-
same color, so the sum over colors only gives a factor of N, and
the total contribution is 0A)...
Never-
Nevertheless, I think it is worth talking about even in its incomplete
state; it may well succeed, and, even if it fails, it involves
-58-
such novel insights that it may inspire you to discover som^ other,
better method...
However,
-70-
these graphs are trivial; they serve only to exactly cancel the
corresponding gluon-exchange graphs in the uncorrected theory...
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