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April 14, 2026Open Access

Renormalization Under Localization Windowing: Effective Ultraviolet Ceilings, Compensator Conservation, and Domain-Restricted Field Theory

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Authors

SHShawn Hackett

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Overview

This work analyzes how standard renormalization is affected by localization windows, indicating new insights in field theory.

Key Points

  • To examine the impact of localization window functions on standard renormalization procedures in quantum field theory.
  • Systematic analysis of renormalization procedures with a localization window function
  • Four examples involving stress-energy in curved spacetime and Unruh–DeWitt detector response
  • Comparison between localized and non-localized scenarios to resolve apparent conservation law violations
  • Standard renormalization procedures remain unchanged within the localization window
  • An effective, context-dependent upper bound on frequencies is introduced
  • Compensator stress-energy sectors resolve violations at boundaries
  • The windowed formalism reproduces known results while clarifying ultraviolet ceilings as localization effects.

Cite This Study

Shawn Hackett (2026) studied this question.

synapsesocial.com/papers/69ddda0de195c95cdefd7868https://doi.org/10.5281/zenodo.19533113
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