Amplitudes and renormalization group techniques: A case study

被引：10

作者：

Buccio, Diego ^{[1
,2
]}

Donoghue, John F. ^{[3
]}

Percacci, Roberto ^{[1
,2
]}

机构：

[1] Scuola Int Super Studi Avanzati, Via Bonomea 265, I-34134 Trieste, Italy

[2] INFN, Sez Trieste, Trieste, Italy

[3] Univ Massachusetts, Dept Phys, Amherst, MA 01003 USA

来源：

PHYSICAL REVIEW D | 2024年 / 109卷 / 04期

基金：

美国国家科学基金会;

关键词：

FIELD-THEORY; QUANTUM; EQUATION;

D O I：

10.1103/PhysRevD.109.045008

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We explore the properties of a simple renormalizable shift-symmetric model with a higher-derivative kinetic energy and quartic-derivative coupling that can serve as a toy model for higher-derivative theories of gravity. The scattering amplitude behaves as in a normal effective field theory below the threshold for the production of ghosts, but has an unexpectedly soft behavior above the threshold. The physical running of the parameters is extracted from the two-point and four-point amplitudes. The results are compared to those obtained by other methods and are found to agree only in limiting cases. We draw several lessons that may also apply to gravity.

引用

页数：16

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