Structure functions of 2-D integrable asymptotically free models

behavior is exhibited}: the structure is rather universal and is probably the same in a wide class of (integrable) asymptotically free models. Structurally similar universal formulae may also hold for the small

x

behavior of QCD in 4--dimensions. Structure functions in the special case of the

n=3

model are accurately computed over the whole

x

range for

-q^2/M^2<10^5

, and some moments are compared with results from renormalized perturbation theory. Some remarks concerning the structure functions in the

1/n

approximation are also made.

sigma model: nonlinear
dimension: 2
symmetry: O(N)
asymptotic freedom
integrability
expansion 1/N
structure function
bootstrap
numerical calculations

References(34)

Figures(0)

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