PreprintCC BY 4.0arXiv
UV/IR scale dependence in a four-derivative scalar field theory
Abstract
An analog of the standard renormalization procedure may be useful for four-derivative theories, and we illustrate it with the four-derivative scalar field theory in the m→0 limit. The renormalization scale μ appears in momentum-dependent logarithms associated with both UV and IR divergences. At one loop, the on-shell scattering amplitude satisfies an analog Callan--Symanzik equation involving the analog beta functions. These functions are determined from the combined UV and IR pole parts of the 1PI functions.
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BibTeX
@misc{holdom2026uvir,
title = {{UV/IR scale dependence in a four-derivative scalar field theory}},
author = {Bob Holdom},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.04347},
eprint = {2609.04347},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04347},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - UV/IR scale dependence in a four-derivative scalar field theory
AU - Bob Holdom
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2609.04347
UR - https://arxiv.org/abs/2609.04347
AB - An analog of the standard renormalization procedure may be useful for four-derivative theories, and we illustrate it with the four-derivative scalar field theory in the m→0 limit. The renormalization scale μ appears in momentum-dependent logarithms associated with both UV and IR divergences. At one loop, the on-shell scattering amplitude satisfies an analog Callan--Symanzik equation involving the analog beta functions. These functions are determined from the combined UV and IR pole parts of the 1PI functions.
ER -