Dipole ghost sectors emerge from the multiplicity of classical solutions in higher-order Chern-Simons theory, and spontaneous symmetry breaking lifts this degeneracy.
Dimensional regularization, Wilsonian RG, and the Naturalness/Hierarchy problem
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
While it is usually stated that dimensional regularization (DR) has no direct physical interpretation, consensus has recently grown on the idea that it might be endowed with special physical properties that would provide the mechanism that solves the naturalness/hierarchy problem. Comparing direct Wilsonian calculations with the corresponding DR ones, we find that DR indeed has a well-defined physical meaning, and we point out its limitations. In particular, our results show that DR cannot provide the solution to the naturalness/hierarchy problem. The absence of too large corrections to the Higgs boson mass is due to a secretly realized fine-tuning, rather than special physical properties of DR. We also investigate these issues within the Wilsonian RG framework and, by comparison with the usual perturbative RG analysis, we show that several popular proposals for the resolution of the problem, commonly considered as physical mechanisms free of fine-tuning, again secretly implement the tuning.
fields
hep-th 3years
2026 3representative citing papers
A hard-cutoff scheme for scalar and fermionic QED is constructed that preserves gauge invariance and reproduces the standard Euler-Heisenberg effective action up to cutoff-suppressed periodic corrections.
Scaling and non-overlapping global symmetries produce RGIs for bilinear operators to all loops via scale-invariant field directions, demonstrated in non-SUSY models including the 2HDM.
citing papers explorer
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Dipole ghosts and spontaneous symmetry breaking in higher-order Chern-Simons theory
Dipole ghost sectors emerge from the multiplicity of classical solutions in higher-order Chern-Simons theory, and spontaneous symmetry breaking lifts this degeneracy.
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Hard cutoff and gauge theories
A hard-cutoff scheme for scalar and fermionic QED is constructed that preserves gauge invariance and reproduces the standard Euler-Heisenberg effective action up to cutoff-suppressed periodic corrections.
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Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries
Scaling and non-overlapping global symmetries produce RGIs for bilinear operators to all loops via scale-invariant field directions, demonstrated in non-SUSY models including the 2HDM.