标量场模型的临界行为与稳定性问题

R. Vladimir
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引用次数: 0

摘要

如文献[1-3]所示,复标量场φ和实标量场χ具有相互作用的模型的传播子在欧几里得动量区域的渐近行为随着耦合常数的取值而急剧变化。对于较小的耦合值,场φ的传播子渐近表现为自由,而在强耦合区域,场φ的传播子在深欧几里得区域趋向于常数。本文研究了该模型的真空稳定性问题对该临界行为的影响。结果表明,在所使用的近似框架内,在拉格朗日量中加入一类稳定项会导致质量的重整化,并且不会改变改变传播子紫外行为的主要效果。PACS编号:11.10.Jj。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Critical behavior and stability problem in a scalar field model
As shown in the works [1-3], the asymptotic behavior of the propagator in the Euclidean region of momenta for the model of a complex scalar field φ and a real scalar field χ with the interaction drastically changes depending on the value of the coupling constant. For small values of the coupling, the propagator of the field φ behaves asymptotically as free, while in the strong-coupling region the propagator in the deep Euclidean region tends to be a constant. In this paper, the influence of the vacuum stability problem of this model on this critical behavior is investigated. It is shown that within the framework of the approximations used, the addition of a stabilizing term of type to the Lagrangian leads to a renormalization of the mass and does not change the main effect of changing the ultraviolet behavior of the propagator. PACS number: 11.10.Jj.
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