Skip to Main content Skip to Navigation
Journal articles

Correlation Asymptotics of Classical Lattice Spin Systems with Nonconvex Hamilton Function at Low Temperature

Abstract : The present paper continues Sjöstrand's study [13] of correlation functions of lattice field theories by means of Witten's deformed Laplacian. Under the assumptions specified in the paper and for sufficiently low temperature, we derive an estimate for the spectral gap of a certain Witten Laplacian which enables us to prove the exponential decay of the two-point correlation function and, further, to derive its asymptotics, as the distance between the spin sites becomes large. Typically, our assumptions do not require uniform strict convexity and apply to Hamiltonian functions which have a single, nondegenerate minimum and no other extremal point.
Complete list of metadata

https://hal-cnrs.archives-ouvertes.fr/hal-03217934
Contributor : Thierry Jecko <>
Submitted on : Wednesday, May 5, 2021 - 11:13:46 AM
Last modification on : Thursday, May 6, 2021 - 3:34:38 AM

File

bjs-13-02-99-envoye.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03217934, version 1

Collections

Citation

Volker Bach, Thierry Jecko, Johannes Sjöstrand. Correlation Asymptotics of Classical Lattice Spin Systems with Nonconvex Hamilton Function at Low Temperature. Annales Henri Poincaré, Springer Verlag, 2000. ⟨hal-03217934⟩

Share

Metrics

Record views

5

Files downloads

3