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--- o2_model [2021/04/14 03:18]
Scott Lawrence [$O(2)$ model]
+++ o2_model [2022/12/21 04:46] (current)
Rajeev S. Erramilli [Operator content]
@@ Line 7: / Line 7: @@
 ===== Operator content =====
-[[https://arxiv.org/pdf/1603.04436.pdf]]
+Three of the leading operators in the spectrum: $\phi$ (an $O(2)$ vector), $s$ (a singlet), and $t$ (a symmetric rank-2 tensor i.e. a charge 2 operator) have been determined precisely and rigorously. The scaling dimensions are
+\[
+\Delta_\phi = 0.519088(\mathbf{22}),~\Delta_s = 1.51136(\mathbf{22}),~\Delta_t = 1.23629(\mathbf{11}).
+\]
+Four of OPE coefficients between these leading operators have also been determined, albeit not rigorously:
+\[
+\lambda_{\phi\phi s} = 0.687126(27),~\lambda_{s s s} = 0.830914(32),~\lambda_{t t s} = 1.25213(14),~\lambda_{\phi\phi t} = 1.213408(65).
+\]
+Additionally, the flavor current and stress tensor central charges have been determined nonrigorously:
+\[
+C_J / C_J^{\text {free}}=0.904395(28),~C_T / C_T^{\text {free}}=0.944056(15).
+\]
+Finally, four additional scalar operators: $s'$ (the next-to-leading singlet), $t'$ (the next-to-leading charge 2 operator), and the leading charge 3 and charge 4 operators, have been determined nonrigorously:
+\[
+\Delta_{s'} = 3.794(8),~\Delta_{t'} = 3.650(2),~\Delta_{3} = 2.1086(3),~\Delta_{4}=3.14(2).
+\]
+These data are from the bootstrap, computed here: [[https://arxiv.org/pdf/1912.03324.pdf]].
 ===== Physical realizations =====

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