We study the equilibration properties of classical integrable field theories at a finite energy density, with a time evolution that starts from initial conditions far from equilibrium. These classical field theories may be regarded as quantum field theories in the regime of high occupation numbers. This observation permits to recover the classical quantities from the quantum ones by taking a proper h →0 limit. In particular, the time averages of the classical theories can be expressed in terms of a suitable version of the LeClair- Mussardo formula relative to the generalized Gibbs ensemble. For the purposes of handling time averages, our approach provides a solution of the problem of the infinite gap solutions of the inverse scattering method. © 2016 IOP Publishing Ltd and SISSA Medialab srl.

Equilibration properties of classical integrable field theories

Mussardo, Giuseppe
2016

Abstract

We study the equilibration properties of classical integrable field theories at a finite energy density, with a time evolution that starts from initial conditions far from equilibrium. These classical field theories may be regarded as quantum field theories in the regime of high occupation numbers. This observation permits to recover the classical quantities from the quantum ones by taking a proper h →0 limit. In particular, the time averages of the classical theories can be expressed in terms of a suitable version of the LeClair- Mussardo formula relative to the generalized Gibbs ensemble. For the purposes of handling time averages, our approach provides a solution of the problem of the infinite gap solutions of the inverse scattering method. © 2016 IOP Publishing Ltd and SISSA Medialab srl.
2016
6
1
102
064011
https://arxiv.org/abs/1603.08628
De Luca, A.; Mussardo, Giuseppe
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/49372
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