Within the generalized hydrodynamics (GHD) formalism for quantum integrable models, it is possible to compute simple expressions for a number of correlation functions at the Eulerian scale. Specializing to integrable relativistic field theories, we show the same correlators can be computed as a sum over form factors, the GHD regime corresponding to the leading contribution with one particle-hole pair on a finite energy-density background. The thermodynamic bootstrap program (TBP) formalism was recently introduced as an axiomatic approach to computing such finite-energy-density form factors for integrable field theories. We derive a new axiom within the TBP formalism from which we easily recover the predicted GHD Eulerian correlators. We also compute higher form factor contributions, with more particle-hole pairs, within the TBP, allowing for the computation of correlation functions in the diffusive, and beyond, GHD regimes. The two particle-hole form factors agree with expressions recently conjectured within the~GHD.
Cited by 3
Aaron J. Friedman et al., Diffusive hydrodynamics from integrability breaking
Phys. Rev. B 101, 180302 (2020) [Crossref]
Paola Ruggiero et al., Quantum Generalized Hydrodynamics
Phys. Rev. Lett. 124, 140603 (2020) [Crossref]
Maurizio Fagotti, Locally quasi-stationary states in noninteracting spin chains
SciPost Phys. 8, 048 (2020) [Crossref]
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- 1 Institute of Physics, University of Amsterdam [IoP, UvA]
- 2 Uniwersytet Warszawski / University of Warsaw [UW]
- European Research Council [ERC]
- FP7 People: Marie-Curie Actions (FP7 People) (through Organization: European Commission [EC])
- Narodowe Centrum Nauki / National Science Center [NCN]