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W4225546895 abstract "We study instability of the lowest dimension operator (it i.e., rm the imaginary part of its operator dimension) in the rank-$Q$ traceless symmetric representation of the $O(N)$ Wilson-Fisher fixed point in $D=4+epsilon$. We find a new semi-classical bounce solution, which gives an imaginary part to the operator dimension of order $Oleft({{{epsilon^{-1/2}}}}expleft[-frac{N+8}{3epsilon}F(epsilon Q)right]right)$ in the double-scaling limit where $epsilon Q leq frac{N+8}{6sqrt{3}}$ is fixed. The form of $F(epsilon Q)$, normalised as $F(0)=1$, is also computed. This non-perturbative correction continues to give the leading effect even when $Q$ is finite, indicating the instability of operators for any values of $Q$. We also observe a phase transition at $epsilon Q=frac{N+8}{6sqrt{3}}$ associated with the condensation of bounces, similar to the Gross-Witten-Wadia transition." @default.
W4225546895 created "2022-05-05" @default.
W4225546895 creator A5027754361 @default.
W4225546895 date "2022-03-16" @default.
W4225546895 modified "2023-10-17" @default.
W4225546895 title "Stability Analysis of a Non-Unitary CFT" @default.
W4225546895 doi "https://doi.org/10.48550/arxiv.2203.08843" @default.
W4225546895 hasPublicationYear "2022" @default.
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