Renormalization and running in the 2D CP (1) model

被引：0

作者：

Diego Buccio ^{[1
]}

John F. Donoghue ^{[2
]}

Gabriel Menezes ^{[3
]}

Roberto Percacci ^{[4
]}

机构：

[1] International School for Advanced Studies, Via Bonomea 265, Trieste

[2] INFN, Sezione di Trieste, Trieste

[3] Department of Physics, University of Massachusetts, Amherst, 01003, MA

[4] Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 — Bloco II, São Paulo, São Paulo

来源：

Journal of High Energy Physics | / 2025卷 / 2期

基金：

美国国家科学基金会; 巴西圣保罗研究基金会;

关键词：

Field Theories in Lower Dimensions; Renormalization and Regularization; Renormalization Group; Sigma Models;

D O I：

10.1007/JHEP02(2025)146

中图分类号：

学科分类号：

摘要：

We calculate the scattering amplitude in the two dimensional CP (1) model in a regularization scheme independent way. When using cutoff regularization, a new Feynman rule from the path integral measure is required if one is to preserve the symmetry. The physical running of the coupling with renormalization scale arises from a UV finite Feynman integral in all schemes. We reproduce the usual result with asymptotic freedom, but the pathway to obtaining the beta function can be different in different schemes. The results can be extended to the O(N) model, for all N. We also comment on the way that this model evades the classic argument by Landau against asymptotic freedom in non-gauge theories. © The Author(s) 2025.

引用

共 31 条

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