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arXiv · 1902.09542

Conformal dimensions in the large charge sectors at the O(4) Wilson-Fisher fixed point

Debasish Banerjee·Shailesh Chandrasekharan·Domenico Orlando·Susanne Reffert
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Abstract

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 $c_{1/2}=0.083(3)$.

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Debasish Banerjee, Shailesh Chandrasekharan, Domenico Orlando, Susanne Reffert. 2019-02-25. Conformal dimensions in the large charge sectors at the O(4) Wilson-Fisher fixed point. https://doi.org/10.1103/physrevlett.123.051603

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