论文标题

部分可观测时空混沌系统的无模型预测

Sigma model on a squashed sphere with a Wess-Zumino term

论文作者

Schubring, Daniel, Shifman, Mikhail

论文摘要

A class of two-dimensional sigma models interpolating between $CP^1$ and the $SU(2)$ principal chiral model is discussed.我们添加了WESS-Zumino-Novikov-on-inter项,并检查两个耦合常数的重新归一化组流,这些耦合常数表征了所考虑的模型。 The model flows to the $SU(2)$ WZNW conformal field theory in the IR.有一个普通的阶段,模型从渐近免费的$ CP^1 $模型流到紫外线中额外的无质量自由度。 At higher loop order we discover that there is also a phase in which the model can flow from non-trivial fixed points in the UV. A non-perturbative confirmation of these extra fixed points would be desirable.

A class of two-dimensional sigma models interpolating between $CP^1$ and the $SU(2)$ principal chiral model is discussed. We add the Wess-Zumino-Novikov-Witten term and examine the renormalization group flow of the two coupling constants which characterize the model under consideration. The model flows to the $SU(2)$ WZNW conformal field theory in the IR. There is an ordinary phase in which the model flows from the asymptotically free $CP^1$ model coupled to an extra massless degree of freedom in the UV. At higher loop order we discover that there is also a phase in which the model can flow from non-trivial fixed points in the UV. A non-perturbative confirmation of these extra fixed points would be desirable.

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