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March 28, 2026Open Access

Reexamining the Yang–Mills Mass Gap Problem: A Constructive Approach via Open Quantum Systems and Quantum Corral Confinement

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Authors

FLFdo Andres Lopez

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Overview

Demonstrates the emergence of a mass gap in Yang–Mills theory using a novel open quantum systems approach, suggesting new insights into quantum field theory.

Key Points

  • To reassess the Yang–Mills mass gap problem by formulating it as an open quantum system, revealing new dynamics.
  • Reformulated Yang–Mills theory with environmental coupling.
  • Employed local C∗-algebras and the GNS construction.
  • Utilized the GKSL master equation for unitarity and effective dissipation.
  • Introduced quantum corral confinement with Dirichlet boundary conditions.
  • Conducted lattice scaling studies over multiple values of β and L.
  • Identified a quantized fundamental mass gap mg,corr ≈ 1.06 GeV, corresponding to Rcorr ≈ 0.47 fm.
  • Calculated continuum mass gap mcont g = 0.465 ± 0.002 (lattice units).
  • Found mphys g = 1.61 ± 0.01 GeV in alignment with other lattice QCD results.
  • Proved uniqueness and stability of the Lindblad steady state.

Cite This Study

Fdo Andres Lopez (2026) studied this question.

synapsesocial.com/papers/69c7724e8bbfbc51511e2b8bhttps://doi.org/10.5281/zenodo.19228989
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