On a CFT prediction in the sine-Gordon model
Carlos Na\'on, Mariano Salvay
TL;DR
This paper verifies a CFT prediction relating energy-density correlator moments to the central charge in the sine-Gordon model and extends the result to the strong coupling regime of the Thirring model using duality.
Contribution
It provides the first quantitative verification of a CFT prediction in the sine-Gordon model and demonstrates its validity in the Thirring model's strong coupling regime via duality.
Findings
Verification of the CFT prediction in the sine-Gordon model
Extension of the prediction's validity to the Thirring model
Use of boson-fermion duality to connect models
Abstract
A quantitative prediction of Conformal Field Theory (CFT), which relates the second moment of the energy-density correlator away from criticality to the value of the central charge, is verified in the sine-Gordon model. By exploiting the boson-fermion duality of two-dimensional field theories, this result also allows to show the validity of the prediction in the strong coupling regime of the Thirring model.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Model Reduction and Neural Networks