Translation Invariance and a Reduced Model for Summing Planar Diagrams in {QCD}
Translation Invariance and a Reduced Model for Summing Planar Diagrams in {QCD}
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{QCD} 中平面图求和的平移不变性和简化模型
DOI：
10.1016/0370-2693(82)90552-4
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发表时间：
1982
影响因子：
4.4
通讯作者：
S. Wadia
中科院分区：
文献类型：
--
作者：
Sumit R. Das;S. Wadia
通过在内部对称群中表示时空平移来执行大N自由度的减少。在平移不变规范中构造了U(∞)规范理论的约化模型。规则是U(x，x+μ)→dk(X)Vμdk+(X)其中Vμ属于陪集U(N)U(1)N，dk(X)是表示平移的对角平面波矩阵。我们证明了当N较大时，规范理论的平面微扰展开式与约化模型的平面微扰展开式相同。
A reduction of degrees of freedom at large N is performed by representing space-time translations in the internal symmetry group. The reduced model for the U(∞) gauge theory is constructed in a translation invariant gauge. The rule is U(x, x+μ)→Dk(x)VμDk+(x) where Vμbelong to the coset U (N) U (1)Nand Dk(x) is a diagonal plane-wave matrix representing translations. We show that at large N, the planar perturbation expansion of the gauge theory is identical to that of the reduced model.