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July 27, 2026Letters in Mathematical PhysicsOpen Access

Spatial localization of relativistic quantum systems: the commutativity requirement and the locality principle—part II: a model from local QFT

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Authors

VMV Moretti

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Overview

Constructs positive-energy relativistic observables in quantum field theory, suggesting practical applications in measurements of quantum systems.

Key Points

  • This work aims to rigorously develop spatial localization observables in the framework of quantum field theory and understand their properties.
  • Constructed positive-energy localized observables based on stress-energy-momentum tensor in Minkowski spacetime.
  • Analyzed properties of positive operator-valued measures (POVMs) on spacelike hypersurfaces.
  • Established control over deviations from positivity using quantum energy inequalities.
  • Proposed localization observables meet relativistic causality conditions, ensuring no superluminal effects.
  • Developed regularized operator families that approximate localization effects while maintaining bounds.
  • Showed that constructed POVMs commute in causally separated regions, aligning with the Araki–Haag–Kastler framework.

Cite This Study

V Moretti (2026) studied this question.

synapsesocial.com/papers/6a67004840bca442e0d4a037https://doi.org/10.1007/s11005-026-02120-5
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