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The SU(N) principal chiral model is asymptotically free and integrable in \(1+1\) dimensions. In the large-N limit, there is no scattering, but correlation functions are not those of a free field theory. We briefly review the derivation of form factors for local operators. Two-point functions for such operators are known exactly. The two-point function of scaling-field operators has the short-distance behavior expected from the renormalization group. We briefly discuss non-vacuum operator products. The ultimate goal is to derive the Lagrangian field theory from this axiomatic quantum-field-theory formalism.

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Operator Products in the SU( \(\infty \) ) Principal Chiral Model

  • 会议论文

  • 发表日期：

    2025年

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  • Peter Orland

摘要

The SU(N) principal chiral model is asymptotically free and integrable in \(1+1\) dimensions. In the large-N limit, there is no scattering, but correlation functions are not those of a free field theory. We briefly review the derivation of form factors for local operators. Two-point functions for such operators are known exactly. The two-point function of scaling-field operators has the short-distance behavior expected from the renormalization group. We briefly discuss non-vacuum operator products. The ultimate goal is to derive the Lagrangian field theory from this axiomatic quantum-field-theory formalism.