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- Title
A Gaussian Process Related to the Mass Spectrum of the Near-Critical Ising Model.
- Authors
Camia, Federico; Jiang, Jianping; Newman, Charles M.
- Abstract
Let Φ h (x) with x = (t , y) denote the near-critical scaling limit of the planar Ising magnetization field. We take the limit of Φ h as the spatial coordinate y scales to infinity with t fixed and prove that it is a stationary Gaussian process X(t) whose covariance function K(t) is the Laplace transform of a mass spectral measure ρ of the relativistic quantum field theory associated to the Euclidean field Φ h. X and K should provide a useful tool for studying the mass spectrum; e.g., the small distance/time behavior of the covariance functions of Φ h and X(t) shows that ρ is finite but has infinite first moment.
- Subjects
MASS spectrometry; GAUSSIAN processes; ISING model; QUANTUM field theory; STATIONARY processes
- Publication
Journal of Statistical Physics, 2020, Vol 179, Issue 4, p885
- ISSN
0022-4715
- Publication type
Article
- DOI
10.1007/s10955-020-02560-w