Skip to content
DraconiticResearch
Search Sources API
190,332 studies31 sourcesUpdated 39 min ago
PreprintCC BY 4.0arXiv

Soft Scale Symmetry Breaking with Laguerre Explicit Regulators

  • A. R. Vieira
Open at sourcePDFDOICite

Abstract

In this work, we search for explicit regulators that do not spuriously break scale invariance starting from conditions established by implicit regularization. There is a family of regulator functions that obeys the conditions and leads to soft breaking terms of the dilatation current. This family of functions is shown to be related to the Laguerre polynomials. We apply this approach by revisiting quadratic divergences in the context of the naturalness problem of the Standard Model and show that the quadratic dependence of the Higgs mass on the cutoff is not required by consistency of scale-symmetry breaking and can be removed within this class of regulators.

Related

  1. Can Spontaneous Time-Translation Symmetry Breaking Be Quantized Without Explicit Branches?
    Partha Nandi
    arXivPreprintarXiv licenceFull textMathematical physicsGravitation & general relativityarXiv
  2. Informative Fisher Modes in Neural Networks as a Result of Explicit Symmetry Breaking
    Ibrahim Talha Ersoy, Björn Ladewig, Karoline Wiesner
    arXivPreprintCC BY 4.0Full textMathematical physicsCondensed matterarXiv
  3. Spontaneous symmetry breaking as a mechanism for the Gribov scale in a BRST-invariant formulation
    M. A. L. Capri, V. E. R. Lemes
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  4. Optimizing Laguerre-Gaussian Mode Interferometry in Gravitational-Wave Detectors through Modal Degeneracy Breaking
    Liu Tao, Eleonora Capocasa, Matteo Barsuglia
    HALPreprintCC BY 4.0Full textInstrumentation & methodsApplied physics & instrumentationHALarXiv
  5. Symmetry Breaking and Transition to robust excitonic topological order in InAs/GaSb bilayers
    Xinghao Wang, Wenfeng Zhang, Yujiang Dong +3
    Physical Review ResearchPeer-reviewedCC BY 4.0Atomic, molecular & optical physicsCrossref

Cite

BibTeXRIS
BibTeX
@misc{vieira2026soft,
  title = {{Soft Scale Symmetry Breaking with Laguerre Explicit Regulators}},
  author = {A. R. Vieira},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.23713},
  eprint = {2608.23713},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.23713},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Soft Scale Symmetry Breaking with Laguerre Explicit Regulators
AU  - A. R. Vieira
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2608.23713
UR  - https://arxiv.org/abs/2608.23713
AB  - In this work, we search for explicit regulators that do not spuriously break scale invariance starting from conditions established by implicit regularization. There is a family of regulator functions that obeys the conditions and leads to soft breaking terms of the dilatation current. This family of functions is shown to be related to the Laguerre polynomials. We apply this approach by revisiting quadratic divergences in the context of the naturalness problem of the Standard Model and show that the quadratic dependence of the Higgs mass on the cutoff is not required by consistency of scale-symmetry breaking and can be removed within this class of regulators.
ER  -