369 citations · 5k across the 80 of their papers we have counts for
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Taking N to zero with S matrices
Paul Fendley
Interesting physical results can be obtained from sigma models by taking the number of fields N to zero. I discuss how one can make sense of this limit by using exact S matrix tech…
Haldane-Gapped Spin Chains as Luttinger Liquids: Correlation Functions at Finite Field
Robert M. Konik, Paul Fendley
We study the behavior of Heisenberg, antiferromagnetic, integer-spin chains in the presence of a magnetic field exceeding the attendant spin gap. For temperatures much smaller than…
BPS kinks in the Gross-Neveu model
Paul Fendley, Hubert Saleur
We find the exact spectrum and degeneracies for the Gross-Neveu model in two dimensions. This model describes N interacting Majorana fermions; it is asymptotically free, and has dy…
Integrable sigma models and perturbed coset models
Paul Fendley
Sigma models arise frequently in particle physics and condensed-matter physics as low-energy effective theories. In this paper I compute the exact free energy at any temperature in…