Wick's theorem at finite temperature |
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| Affiliation: | 1. School of Physical Science and Technology, Xinjiang University, Urumqi 830046, China;2. Center for Theoretical Physics, Xinjiang University, Urumqi 830046, China;3. School of Physical Science and Electronics, Centural South University, Changsha 410083, China;1. Information Systems School, Queensland University of Technology, Brisbane, 4000, Australia;2. Faculty of Science and Engineering, Queensland University of Technology, Brisbane, 4000, Australia;3. Connected Intelligence Centre, University of Technology Sydney, PO Box 123 , Broadway, 2007, Australia |
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| Abstract: | We consider Wick's theorem for finite temperature and finite volume systems. Working at an operator level with a path ordered approach, we show that contrary to claims in the literature, expectation values of normal ordered products can be chosen to be zero and that results obtained are independent of volume. Thus the path integral and operator approaches to finite temperature and finite volume quantum field theories are indeed seen to be identical. The conditions under which normal ordered products have simple symmetry properties are also considered. |
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