8 February 2024
Connects Unruh-DeWitt model to the spin-boson model
With modifications, spin-boson ground state results can apply
For massless fields, common smearings regulate UV but not always IR
Joint Hilbert space not always tensor product of subsystems
Discusses conditions to avoid IR problem using operator algebras
Simplified model of light-matter interactions using particle detectors
This paper connects the Unruh-DeWitt particle detector model to the spin-boson model from quantum optics. It argues that common choices of smearing functions regulate ultraviolet behavior but can still exhibit infrared divergences in the massless case. This implies the joint Hilbert space cannot be described by the tensor product of the detector and field spaces. Conditions are discussed under which this problem does not arise, highlighting the relevance of operator-algebraic techniques for understanding particle detector models.
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