• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physical review, D >Revisited functional renormalization group approach for random matrices in the large-N limit
【24h】

Revisited functional renormalization group approach for random matrices in the large-N limit

机译：重新讨论了大n限制中随机矩阵的功能重整组方法

获取原文
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The nonperturbative renormalization group has been considered as a solid framework to investigate fixed point and critical exponents for matrix and tensor models, expected to correspond with the so-called double scaling limit. In this paper, we focus on matrix models and address the question of the compatibility between the approximations used to solve the exact renormalization group equation and the modified Ward identities coming from the regulator. We show in particular that standard local potential approximation strongly violates the Ward identities, especially in the vicinity of the interacting fixed point. Extending the theory space including derivative couplings, we recover an interacting fixed point with a critical exponent not so far from the exact result, but with a nonzero value for derivative couplings, evoking a strong dependence concerning the regulator. Finally, we consider a modified regulator, allowing to keep the flow not so far from the ultralocal region and recover the results of the literature up to a slight improvement.
机译：非触发重整化组被认为是调查矩阵和张量模型的固定点和临界指数的坚实框架，预期与所谓的双重缩放限制相对应。在本文中，我们专注于矩阵模型，并解决了用于解决精确的重新运行组方程和来自调节器的改进的病房标识的近似值之间的兼容性问题。我们特别展示标准局部电位近似强烈违反病房标识，尤其是在交互的定点附近。扩展包括衍生耦合的理论空间，我们恢复了与临界指数的相互作用的传出点，这不是到目前为止的确切结果，但是对于衍生耦合的非零值，唤起了对调节器的强烈依赖。最后，我们考虑改良的调节器，允许将流量与超级区域保持不变，并将文献的结果恢复到略微改善。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号