The fixed points of RG flow with a tachyon
The fixed points of RG flow with a tachyon
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带有快子的 RG 流的不动点
DOI：
10.1088/1126-6708/2006/09/045
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发表时间：
2006
影响因子：
5.4
通讯作者：
V. Suneeta
中科院分区：
文献类型：
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作者：
J. Gegenberg;V. Suneeta
我们研究了具有背景度规场、膨胀场和速子场的非线性sigma模型的一阶RG流的不动点。我们证明了在紧致目标空间上，具有非零速子的不动点的存在与速子势V''(T)的二阶导数的符号有关（这是零速子情况下布吉尼翁结果的类比）。对于只有前导项的速子势，这样的不动点是可能的。在非紧目标空间上，我们引入了一个小的非零速子，并计算了在含有三次项速子势的微扰理论中对欧几里得二维黑洞（雪茄）二阶解的修正。度规、速子和膨胀子的修正在这个数量级上表现良好，而且速子的“毛发”持续存在。我们还简要讨论了存在速子时RG流动方程的解，这些解与Yang和Zwiebach得到的动态不动点解比较。
We examine the fixed points to first-order RG flow of a non-linear sigma model with background metric, dilaton and tachyon fields. We show that on compact target spaces, the existence of fixed points with non-zero tachyon is linked to the sign of the second derivative of the tachyon potential V''(T) (this is the analogue of a result of Bourguignon for the zero-tachyon case). For a tachyon potential with only the leading term, such fixed points are possible. On non-compact target spaces, we introduce a small non-zero tachyon and compute the correction to the Euclidean 2d black hole (cigar) solution at second order in perturbation theory with a tachyon potential containing a cubic term as well. The corrections to the metric, tachyon and dilaton are well-behaved at this order and tachyon `hair' persists. We also briefly discuss solutions to the RG flow equations in the presence of a tachyon that suggest a comparison to dynamical fixed point solutions obtained by Yang and Zwiebach.
用于闭弦快子凝聚的 CFT
DOI：
--
发表时间：
2007
期刊：
Progress of Theoretical Physics 117
影响因子：
--
作者：
Kan Tanoue;Shunji Kaya;Yutaro Hayashi;Kazuhiro Abe;Toshiaki Imagawa;Kazuya Taniguchi;Kazuyasu Sakaguchi;Takao Suyama
通讯作者：
Takao Suyama