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Coleman. 1 over N (1980)(L)(T)(36s).djvu
Date Dec 18, 2004
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,
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
same color, so the sum over colors only gives a factor of N, and
the total contribution is 0A)...
Nevertheless, I think it is worth talking about even in its incomplete
state; it may well succeed, and, even if it fails, it involves
such novel insights that it may inspire you to discover som^ other,
these graphs are trivial; they serve only to exactly cancel the
corresponding gluon-exchange graphs in the uncorrected theory...
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