Quantum Determinism for Free Vector Bosons in 3 Dimensions
Philippe Pouliot
TL;DR
This paper explores applying 't Hooft's deterministic quantum mechanics to free vector bosons in three dimensions, examining Lorentz invariance and discussing challenges for deterministic string theory construction.
Contribution
It demonstrates the applicability and limitations of 't Hooft's approach to vector bosons in three dimensions, highlighting issues with conformal invariance.
Findings
Successful application of deterministic quantum mechanics to 3D vector bosons
Identification of Lorentz invariance in the approach
Challenges in extending to conformal symmetry and string theory
Abstract
We apply 't Hooft's deterministic quantum mechanics approach to free vector bosons in three dimensions and check Lorentz invariance. This approach does not work for the conformal group, for free bosons in two dimensions. This presents a technical difficulty for constructing a ``deterministic string theory''.
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