PreprintCC BY 4.0arXiv
An Egorov-type Theorem for Analytic Wick Observables in Quantum Field Theory
Abstract
We provide an exact Egorov-type formula, given by a convergent expansion in the semi-classical parameter ε > 0, for the propagation of a certain class of analytic Wick observables with super-exponentially decaying coefficients, under the action of a time-dependent quadratic Hamiltonian. This work generalizes a result established by S. Breteaux for polynomial symbols, and includes the spatially cutoff P(φ)2 model, as well as a variant of the Höegh-Krohn model.
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BibTeX
@misc{malartre2026egorovtype,
title = {{An Egorov-type Theorem for Analytic Wick Observables in Quantum Field Theory}},
author = {Julien Malartre},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.39806},
eprint = {2610.39806},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.39806},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - An Egorov-type Theorem for Analytic Wick Observables in Quantum Field Theory
AU - Julien Malartre
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.39806
UR - https://arxiv.org/abs/2610.39806
AB - We provide an exact Egorov-type formula, given by a convergent expansion in the semi-classical parameter ε > 0, for the propagation of a certain class of analytic Wick observables with super-exponentially decaying coefficients, under the action of a time-dependent quadratic Hamiltonian. This work generalizes a result established by S. Breteaux for polynomial symbols, and includes the spatially cutoff P(φ)_2 model, as well as a variant of the Höegh-Krohn model.
ER -