Quantum equivalence of σ models related by non-Abelian duality transformations
Quantum equivalence of σ models related by non-Abelian duality transformations
复制标题
非阿贝尔对偶变换相关的 σ 模型的量子等价性
DOI：
10.1103/physrevd.57.3585
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发表时间：
1997
影响因子：
5
通讯作者：
J. Schnittger
中科院分区：
文献类型：
--
作者：
L. K. Bal'azs;J. Balog;P. Forg'acs;N. Mohammedi;L.Palla;J. Schnittger
研究了由非阿贝尔对偶变换相关的二维sigma模型的耦合常数重整化问题。在这方面，证明了在单环阶摄动理论中，在SU(2)主模型和O(3) σ模型之间插值的单参数模型族的对偶表现出与原始模型相同的行为。对于O(3)模型，也研究了两环等效性，并发现它与已知的主模型的例子一样被打破。
Coupling constant renormalization is investigated in 2 dimensional sigma models related by non Abelian duality transformations. In this respect it is shown that in the one loop order of perturbation theory the duals of a one parameter family of models, interpolating between the SU(2) principal model and the O(3) sigma model, exhibit the same behaviour as the original models. For the O(3) model also the two loop equivalence is investigated, and is found to be broken just like in the already known example of the principal model.