A quantum field-theoretical perspective on scale anomalies in 1D systems with three-body interactions

被引：6
|
作者：
Daza, W. S. [1 ]
Drut, J. E. [2 ]
Lin, C. L. [1 ]
Ordonez, C. R. [1 ,3 ]
机构：
[1] Univ Houston, Phys Dept, Houston, TX 77024 USA
[2] Univ N Carolina, Dept Phys & Astron, Chapel Hill, NC 27599 USA
[3] Univ Panama, ICAB, Panama City, Panama
来源：
MODERN PHYSICS LETTERS A | 2019年 / 34卷 / 35期
基金：
美国国家科学基金会;
关键词：
Renormalization; analytic properties of S matrix; quantum mechanics; field theory; scattering theory; FERMI; SYMMETRY;
D O I：
10.1142/S0217732319502912
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We analyze, from a canonical quantum field theory (QFT) perspective, the problem of one-dimensional particles with three-body attractive interactions, which was recently shown to exhibit a scale anomaly identical to that observed in two-dimensional (2D) systems with two-body interactions. We study in detail the properties of the scattering amplitude including both bound and scattering states, using cutoff and dimensional regularization, and clarify the connection between the scale anomaly derived from thermodynamics to the nonvanishing non-relativistic trace of the energy-momentum tensor.
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页数：16
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