English

An Algebraic Proof of Thermal Wick's Theorem

Statistical Mechanics 2025-01-08 v1

Abstract

Every many-body state can be constructed from the vacuum state by iteratively applying the creation operators, therefore the thermal expectation can be transformed into a sum of vacuum expectation where the vacuum Wick's theorem holds. Based on this observation this article gives an algebraic proof of thermal Wick's theorem.

Keywords

Cite

@article{arxiv.2501.03665,
  title  = {An Algebraic Proof of Thermal Wick's Theorem},
  author = {Ruofan Chen},
  journal= {arXiv preprint arXiv:2501.03665},
  year   = {2025}
}