用Dyson Schwinger方程研究Wick Cutkosky模型的经典基态
Studies of Wick Cutkosky model in light of its classical ground state using Dyson Schwinger equations
摘要：
在实验发现了标准模型希格斯粒子之后，额外的基本标量场的含义被认为是最重要的探索途径之一，特别是当已经存在支持它们存在的令人信服的论点时。在希格斯-标量单重态系统中观察到的一个特殊现象是标量单重态场具有负平方物理质量的趋势，这可能是快子场或对称性破缺的标志。假设这一特征是由于存在一种类似于传统理解的Higgs机制的现象，在Higgs质量为$125.09$ GeV的经典基态所建议的参数空间中研究了Wick Cutkosky模型，其中两个裸质量的平方都为正值.结果被发现有很强的负贡献平方标量质量。对于较高的截止值，重整化平方标量质量和平方裸耦合定性有利于一个类似的关系，在经典的基态的系统，高达一个附加常数。希格斯传播子几乎不受影响，如在先前探索的参数空间区域中所观察到的那样。然而，与之前对该模型的研究相比，标量单态传播子被发现具有相对不同的定性特征。顶点被发现具有定性相似的功能。没有发现任何琐碎的迹象。
英文摘要：
Implications of additional fundamental scalar fields are regarded as among the most important avenues to explore after the experimental discovery of the standard model Higgs, particularly when there already exist cogent arguments in favor of their existence. A peculiar observation in Higgs-scalar singlet system is tendency of scalar singlet field to have negative squared physical masses which may be a sign of either a tachyon field or symmetry breaking. Assuming that this feature is due to the presence of a phenomenon similar to the conventionally understood Higgs mechanism, Wick Cutkosky model is studied in the parameter space suggested by the classical ground state of the system at Higgs mass $125.09$ GeV with positive values for both squared bare masses. The results are found to have strong negative contributions to squared scalar masses. For higher cutoff values, the renormalized squared scalar masses and squared bare couplings are found to qualitatively favor a relationship similar to the one in the classical ground state of the system, upto an additive constant. Higgs propagators remain almost unaffected as observed in a previously explored region of parameter space. However, scalar singlet propagators are found to have relatively different qualitative features in comparison to the previous study of the model. Vertices are found to have qualitatively similar features. No sign of triviality is found.
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