轴子质量问题:保持冷静与重子
Axion Quality Problem: Keep Calm and Baryon
AI总结:
针对轴子与引力耦合时的质量问题,提出基于重子数对称性自发破缺的高质量轴子模型,利用超对称QCD中重子算符的高维数保护轴子平移对称性。
摘要:
轴子模型在与引力耦合时通常会遭受严重的质量问题。本文提供了一个具有高质量轴子的非常简单模型。该轴子是重子数对称性 $U(1)_B$ 的赝南布-戈德斯通玻色子,来自一个新的复合扇区,该扇区在禁闭时自发破缺 $U(1)_B$。一个受控的例子是具有 $N_c = N_f$ 的超对称QCD(SQCD)。由于规范不变的重子算符具有高维数,轴子平移对称性自动受到保护,Peccei-Quinn破缺算符出现在维度 $N_c+2$ 处。标准模型规范群作为SQCD味对称性群的一个子群嵌入,该子群与 $U(1)_B$ 存在反常,从而产生与胶子的标准耦合。
英文摘要:
Axion models generically suffer from a severe quality problem when coupled to gravity. In this article we provide a very simple model with a high quality axion. The axion is a pseudo-Nambu-Goldstone boson of the baryon number symmetry, $U(1)_B$, of a new composite sector that breaks $U(1)_B$ spontaneously when it confines. A controlled example is a supersymmetric QCD (SQCD) with $N_c = N_f$. The axion shift symmetry is automatically protected due to the high dimension of the gauge-invariant baryon operator, with the Peccei-Quinn breaking operators arising at dimension $N_c+2$. The standard model gauge group is embedded as a subgroup of the flavor symmetry group of SQCD that has an anomaly with $U(1)_B$, generating the standard coupling with gluons.
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