Burgers equation vs. large N limit in TTbar-deformed O(N) vector model
Burgers equation vs. large N limit in TTbar-deformed O(N) vector model
复制标题
Burgers 方程与 TTbar 变形 O(N) 矢量模型中的大 N 限制
DOI：
10.1016/j.nuclphysb.2021.115499
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发表时间：
2021
影响因子：
2.8
通讯作者：
Yoshida Kentaroh
中科院分区：
文献类型：
--
作者：
Haruna Junichi;Sakai Katsuta;Yoshida Kentaroh
我们研究了一个T T‘-变形O(N)向量模型，它经典地等价于具有静态规范的Nambu-Goto作用量。利用Burgers方程作为T T‘形变的一种特殊性质，可以精确地计算出热自由能密度。所得到的表达式对任意值N有效。在保留该表达式的同时，可以考虑较大的N限制。我们试图利用大的N极限，直接在场论方法中得到这一结果。因此，主要贡献与确切贡献不谋而合。也就是说，1/N校正通过一个非平凡的机制被抵消。
We study a T T¯-deformed O (N) vector model, which is classically equivalent to the Nambu-Goto action with static gauge. The thermal free energy density can be computed exactly by using the Burgers equation as a special property of T T¯-deformation. The resulting expression is valid for an arbitrary value of N. One may consider a large N limit while preserving this expression. We try to derive this result in the field-theoretical approach directly by employing the large N limit. As a result, the leading contribution coincides with the exact one. That is, the 1/N corrections are canceled out through a non-trivial mechanism.