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PreprintCC BY 4.0HAL

Asymptotically free solutions of the scalar flow equations

  • Christoph Kopper
Open at sourcePDFDOICite

Abstract

We analyse solutions of the flow equations of the renormalisation group for the n-point Schwinger functions of scalar field theory in four-dimensional Euclidean space with nonpolynomial boundary conditions. We show that there exist UV asymptotically free solutions of this type which are Bose symmetric, invariant under the Euclidean group, analytic in the flow parameter and the momenta, and satisfy the Osterwalder-Schrader growth condition.

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Cite

BibTeXRIS
BibTeX
@misc{kopper2026asymptotically,
  title = {{Asymptotically free solutions of the scalar flow equations}},
  author = {Christoph Kopper},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06165},
  eprint = {2610.06165},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05829808v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Asymptotically free solutions of the scalar flow equations
AU  - Christoph Kopper
PY  - 2026
DA  - 2026/10/05
PB  - HAL
DO  - 10.48550/arxiv.2610.06165
UR  - https://hal.science/hal-05829808v1
AB  - We analyse solutions of the flow equations of the renormalisation group for the n-point Schwinger functions of scalar field theory in four-dimensional Euclidean space with nonpolynomial boundary conditions. We show that there exist UV asymptotically free solutions of this type which are Bose symmetric, invariant under the Euclidean group, analytic in the flow parameter and the momenta, and satisfy the Osterwalder-Schrader growth condition.
ER  -