更不寻常的θ值处的相变
Phase Transitions at More Unusual Values of Theta
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中文总结 AI 辅助
本文通过N=1有效场论方法精确分析QCD近亲家族的真空能θ依赖,发现相变可发生在θ/π的分数和无理数值处。
中文摘要 AI 辅助
我们计算了QCD的一个无限家族近亲中真空能量对θ的依赖关系,在这些理论中真空结构可以被精确分析。这些理论是N=1有效场论,它们源自具有N_f个基本超多重态味的N=2 SU(N_c)规范理论,然后通过反常介导的超对称破缺(AMSB)进行形变。我们重现了先前工作中使用完整N=2机制得到的结果,但采用了更简单的N=1方法。我们的方法可以轻松扩展到无限多个理论,对于这些理论,完整的N=2方法变得难以处理。我们确定了理论发生相变的θ值,并发现这些值可以出现在θ/π的分数值和无理数值处。
英文摘要
We calculate the $θ$ dependence of the vacuum energy in an infinite family of cousins of QCD, where the vacuum structure can be analyzed exactly. These theories are $\mathcal{N}=1$ EFTs that descend from $\mathcal{N}=2$ $SU(N_c)$ gauge theory with $N_f$ flavors of fundamental hypermultiplets, that are then deformed by anomaly mediated supersymmetry breaking (AMSB). We reproduce results found in previous work that used the full $\mathcal{N}=2$ machinery but via a much simpler $\mathcal{N}=1$ method. Our method easily extends to infinitely many more theories for which the full $\mathcal{N}=2$ approach becomes intractable. We identify values of $θ$ for which the theory undergoes a phase transition, and find that they can occur at both fractional and irrational values of $θ/π$.
发表机构
- University of California, Berkeley(加州大学伯克利分校)
- Ernest Orlando Lawrence Berkeley National Laboratory(欧内斯特·奥兰多·劳伦斯伯克利国家实验室)
- Kavli Institute for the Physics and Mathematics of the Universe (WPI), University of Tokyo(东京大学宇宙物质研究前沿中心(WPI))
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