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Finite Quantum Field Theory and Renormalization Group
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Renormalization group methods are applied to a scalar field within a finite, nonlocal quantum field theory formulated perturbatively in Euclidean momentum space. It is demonstrated that the triviality problem in scalar field theory, the Higgs boson mass hierarchy problem and the stability of the vacuum do not arise as issues in the theory. The scalar Higgs field has no Landau pole.
Forward citations
Cited by 4 Pith papers
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A First Bound on the Moffat Energy and Thorium--229 Clock as a Probe of the Nonlocal Time-Energy Structure
Published 229Th clock data, under an assumed quadratic nonlocal frequency-shift with unit coefficient, set E_M > 22.3 MeV (direct), >1.72 GeV (enhanced), and up to ~27 TeV (nuclear-scale illustration).
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On Gauge-Invariant Entire-Function Regulators and UV Finiteness in NonLocal Quantum Field Theory
In flat space, an entire-function regulator F(□/M^2) acts as the multiplicative Euclidean form factor e^{-p_E^2/M^2} on plane waves, yielding exponential UV damping; this known nonlocal-QFT result is re-derived and discussed.
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Finite Nonlocal Holomorphic Unified Quantum Field Theory
Inserting exponential regulators exp(□/M_*^2) into a holomorphic unified action is claimed to make the theory ultraviolet-finite, but the demonstration in the paper is incomplete and contains errors.
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De Sitter Cores from Nonlocal Quantum Field Theories
An exponential nonlocal regulator maps a point mass to a Gaussian density whose Einstein solution has a de Sitter core, reproducing (with new labeling) the known Gaussian-sourced regular black hole.
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