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• W1996403735 abstract "Exact expressions for correlation functions are known for the large-$N$ (planar) limit of the $(1+1)$-dimensional ${rm SU}(N)times {rm SU}(N)$ principal chiral sigma model. These were obtained with the form-factor bootstrap, an entirely nonperturbative method. The large-$N$ solution of this asymptotically-free model is far less trivial than that of O($N$) sigma model (or other isovector models). Here we study the Euclidean two-point correlation function $N^{-1}< {rm Tr},Phi(0)^{dagger} Phi(x)>$, where $Phi(x)sim Z^{-1/2}U(x)$ is the scaling field and $U(x)in SU(N)$ is the bare field. We express the two-point function in terms of the spectrum of the operator $sqrt{-d^{2}/du^{2}}$, where $uin (-1,1)$. At short distances, this expression perfectly matches the result from the perturbative renormalization group." @default.
• W1996403735 created "2016-06-24" @default.
• W1996403735 creator A5071239762 @default.
• W1996403735 date "2014-12-30" @default.
• W1996403735 modified "2023-09-27" @default.
• W1996403735 title "Seeing asymptotic freedom in an exact correlator of a large-Nmatrix field theory" @default.
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• W1996403735 doi "https://doi.org/10.1103/physrevd.90.125038" @default.
• W1996403735 hasPublicationYear "2014" @default.
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