1 2 i M
Figure 2-2.
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Grassmann field snaking around the World Sheet. The figure shows how,
by imposing simple rules for connecting the four Grassmann pairs at each
site together, one can "sew" the Grassmann chain into the world sheet strip
and thereby propagating the information carried by the Grassmann's from
one vertex to the next. At the vertex (or rather, just below the vertex) the
initial chain (solid colored chain number 1) terminates and two new chains
are started (grey colored and white colored chains 2 and 3). It is possible via
local insertions at the vertex to break the required links and at boundaries
the Grassmann's connect in time rather than space. The Kronecker delta
identities in the text show that the Grassmann path integrals guarantees
that the same spinor or vector indices appears on both ends of the chains, in
the figure from 1, 2, 3 to 1, 2, 3 respectively. On the right, the corresponding
Feynman diagram is shown, with each leg labelled by its p+ momentum.
original paper [7] and for pure Gauge theory in papers by Thorn and others [10, 16]. In
short ']., v are in general, rational functions of the p+ entering into the vertex. Just as the
simple rational function 1/p+ was generated by use of the b, c ghost pairs these rational
functions must be created by local insertions on the world sheet. Consider the pure A3