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May 12, 2026Open Access

Renormalization of Windowed Quantum Field Theory on Finite Spacetime Domains

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Authors

SHShawn Hackett

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Overview

Demonstrates how localization impacts renormalization in finite spacetime, implying links to gravity.

Key Points

  • This work aims to analyze the effects of localization on standard renormalization procedures in quantum field theory.
  • Developed a systematic analysis involving a smooth, non-dynamical localization window function.
  • Classified boundary-local contact terms affecting the treatment of renormalization.
  • Included calculations for stress-energy in curved spacetime and responses from various quantum detectors.
  • Renormalization prescriptions remain unchanged in the window interior, while boundary-local terms need specific treatment.
  • Introduced a compensator stress-energy to resolve conservation issues at localization boundaries.
  • Demonstrated that localized QFT can close with general relativity using a defined operational suppression scale.

Cite This Study

Shawn Hackett (2026) studied this question.

synapsesocial.com/papers/6a02c2fdce8c8c81e964063fhttps://doi.org/10.5281/zenodo.20114353
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