Non-analyticity of the S-matrix with spontaneously broken Lorentz invariance

被引：1

作者：

Creminelli, Paolo ^{[1
,2
]}

Delladio, Matteo ^{[3
]}

Janssen, Oliver ^{[4
]}

Longo, Alessandro ^{[5
,6
]}

Senatore, Leonardo ^{[3
]}

机构：

[1] Abdus Salaam Int Ctr Theoret Phys, High Energy Cosmol & Astroparticle Phys, Str Costiera 11, I-34151 Trieste, Italy

[2] Inst Fundamental Phys Universe IFPU, Via Beirut 2, I-34014 Trieste, Italy

[3] Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland

[4] Ecole Polytech Fed Lausanne, Lab Theoret Fundamental Phys, CH-1015 Lausanne, Switzerland

[5] SISSA, Int Sch Adv Studies, Via Bonomea 265, I-34136 Trieste, Italy

[6] Natl Inst Nucl Phys, INFN, Via Alfonso Valerio 2, I-34127 Trieste, Italy

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2024年 / 06期

基金：

瑞士国家科学基金会;

关键词：

Effective Field Theories; Global Symmetries; Spontaneous Symmetry Breaking; Violation of Lorentz and/or CPT Symmetry;

D O I：

10.1007/JHEP06(2024)201

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We study the S-matrix of Goldstones in the renormalizable theory of a U(1) complex scalar at finite charge, i.e. in a state that breaks Lorentz invariance. The theory is weakly coupled so that this S-matrix exists at all energies. Unlike the Lorentz invariant case, the resulting S-matrix is not analytic in the exchanged (complexified) four-momentum. The non-analyticities stem from the LSZ reduction formula, as a consequence of the energy-dependent mixing between the radial and Goldstone modes.

引用

页数：28

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