arXiv 1606.024252016-06hep-thhep-phnucl-th

没有全息对偶的场论

Field Theories Without a Holographic Dual

Brett McInnes

备注：: Conclusion now discusses question of fine tuning. Version to appear in Nuclear Physics B. 30 pages, 11 figures
发表信息：: Nuclear Physics B Volume 913, December 2016, Pages 852 to876
DOI：: 10.1016/j.nuclphysb.2016.10.015

摘要：

在将规范-引力对偶性应用于夸克-胶子等离子体时，人们用一种特殊的场论来模拟等离子体，其中包含特定的温度、磁场等。然后，我们假设本体，一个渐近的AdS黑洞时空，其性质被选择为与边界场论的性质相匹配，可以嵌入弦论。但情况并不总是这样：存在没有体对偶的场论。问题是，这些理论是否包括那些用来研究在RHIC实验或LHC的相关实验等设施中产生的实际等离子体的理论。我们认为，\emph{provided}，采取适当的照顾，包括与磁场所经历的周边碰撞产生的等离子体的角动量的影响，可以建立的RHIC等离子体的对偶的存在。在LHC等离子体的情况下，情况更加令人怀疑。

英文摘要：

In applying the gauge-gravity duality to the quark-gluon plasma, one models the plasma using a particular kind of field theory with specified values of the temperature, magnetic field, and so forth. One then assumes that the bulk, an asymptotically AdS black hole spacetime with properties chosen to match those of the boundary field theory, can be embedded in string theory. But this is not always the case: there are field theories with no bulk dual. The question is whether these theories might include those used to study the actual plasmas produced at such facilities as the RHIC experiment or the relevant experiments at the LHC. We argue that, \emph{provided} that due care is taken to include the effects of the angular momentum associated with the magnetic fields experienced by the plasmas produced by peripheral collisions, the existence of the dual can be established for the RHIC plasmas. In the case of the LHC plasmas, the situation is much more doubtful.

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