Conformal field theories in fractional dimensions.
Conformal field theories in fractional dimensions.
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DOI：
10.1103/physrevlett.112.141601
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发表时间：
2013-09
影响因子：
8.6
通讯作者：
S. El-Showk;M. Paulos;David Poland;S. Rychkov;D. Simmons-Duffin;A. Vichi
中科院分区：
文献类型：
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作者：
S. El-Showk;M. Paulos;David Poland;S. Rychkov;D. Simmons-Duffin;A. Vichi
研究了分数维时空中的共形自举问题，得到了算子维上的严格界。我们的结果有力地证明了在四维空间中存在一族连接二维伊辛模型、三维伊辛模型和自由标量理论的酉共形场理论。在不同的D值下，我们给出了这一族的前导算符维度和中心电荷的数值预测，并与ϕ4理论在ϵ展开中的计算结果进行了比较。
We study the conformal bootstrap in fractional space-time dimensions, obtaining rigorous bounds on operator dimensions. Our results show strong evidence that there is a family of unitary conformal field theories connecting the 2D Ising model, the 3D Ising model, and the free scalar theory in 4D. We give numerical predictions for the leading operator dimensions and central charge in this family at different values of D and compare these to calculations of ϕ4 theory in the ϵ expansion.