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Résumé |
A “bootstrap” approach to physical systems starts from basic physical principles
and aims to constrain the possible dynamics. Among the most successful instances
have been the bootstrap of conformal field theories and the S-matrix bootstrap of
relativistic field theories. I will explain how this methodology can be applied to
quantum mechanical lattice models, such as arise in condensed matter systems. The
basic quantity will be the retarded Green’s function, for which I will establish
strong analyticity and boundedness properties starting from Lieb-Robinson
causality in local lattice models (that I will also review). I will explain how
these properties (bounds and analyticity) can be used to place constraints on
transport coefficients and on non-Fermi liquid coupling constants. |
