The Ehrenfest Theorem in Quantum Field Theory
R.Parthasarathy

TL;DR
This paper investigates the applicability of Ehrenfest's theorem within Abelian and non-Abelian quantum field theories, demonstrating its validity under unbroken gauge symmetries by selecting an appropriate physical subspace.
Contribution
It proves the validity of Ehrenfest's theorem in both Abelian and non-Abelian quantum field theories with unbroken gauge symmetries through a specific choice of physical subspace.
Findings
Ehrenfest's theorem holds in Abelian QFTs with unbroken gauge symmetry.
Ehrenfest's theorem holds in non-Abelian QFTs with unbroken gauge symmetry.
A suitable physical subspace ensures the theorem's validity.
Abstract
The validity of the Ehrenfest's theorem in Abelian and non-Abelian quantum field theories is examined. The gauge symmetries are taken to be unbroken. By suitably choosing the physical subspace, the above validity is proven in both the cases.
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Taxonomy
TopicsQuantum Mechanics and Applications
