大电荷扇区中 O(4)威尔逊-费希尔不动点的共形维数。
Conformal Dimensions in the Large Charge Sectors at the O(4) Wilson-Fisher Fixed Point.
机构信息
Institut für Physik, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, D-12489 Berlin, Germany.
Department of Physics, Duke University, Durham, North Carolina 27708, USA.
出版信息
Phys Rev Lett. 2019 Aug 2;123(5):051603. doi: 10.1103/PhysRevLett.123.051603.
We study the O(4) Wilson-Fisher fixed point in 2+1 dimensions in fixed large-charge sectors identified by products of two spin-j representations (j_{L},j_{R}). Using effective field theory we derive a formula for the conformal dimensions D(j_{L},j_{R}) of the leading operator in terms of two constants, c_{3/2} and c_{1/2}, when the sum j_{L}+j_{R} is much larger than the difference |j_{L}-j_{R}|. We compute D(j_{L},j_{R}) when j_{L}=j_{R} with Monte Carlo calculations in a discrete formulation of the O(4) lattice field theory, and show excellent agreement with the predicted formula and estimate c_{3/2}=1.068(4) and c_{1/2}=0.083(3).
我们研究了 2+1 维中的 O(4)威尔逊-费舍尔不动点，在该空间中，通过两个自旋-j 表示（j_{L}，j_{R}）的乘积来确定固定大电荷区域。我们使用有效场论推导出了一个公式，用于根据两个常数 c_{3/2} 和 c_{1/2}，计算当 j_{L}+j_{R} 远大于 j_{L}-j_{R}| 时，主导算子的共形维数 D(j_{L}，j_{R})。我们通过在 O(4)格点场论的离散形式中进行蒙特卡罗计算，计算了当 j_{L}=j_{R} 时的 D(j_{L}，j_{R})，并与预测公式进行了很好的吻合，同时估计出 c_{3/2}=1.068(4) 和 c_{1/2}=0.083(3)。
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