Critical exponents of the 3d Ising and related models from conformal bootstrap
By F. Gliozzi, Antonio Rago. Journal of High Energy Physics, 2014
168 citations recorded by the source corpus.
The constraints of conformal bootstrap are applied to investigate a set of conformal field theories in various dimensions. The prescriptions can be applied to both unitary and non unitary theories allowing for the study of the spectrum of low-lying primary operators of the theory. We evaluate the lowest scaling dimensions of the local operators associated with the Yang-Lee edge singularity for 2 ≤ D ≤ 6. Likewise we obtain the scaling dimensions of six scalars and four spinning operators for the 3d critical Ising model. Our findings are in agreement with existing results to a per mill precision and estimate several new exponents.
Subfields: Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/4d9f480eac454f3f1d8ebc4494cc9ba5e72472fa
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Citations in the corpus
- Boundary and interface CFTs from the conformal bootstrap (2015, methodology): “What is especially disturbing for us is that the method of determinants applied to the four-point function gave very different values for these quantities [20], so we decided to”
- The lightcone bootstrap and the spectrum of the 3d Ising CFT (2016, methodology): “On the other hand, the possibility of working with fewer derivatives, at lower precision, with larger systems of correlators, and perhaps without imposing unitarity (using the methods of [15, 90, 91])(42) makes this hybrid approach worth exploring.”
- The ϵ ?> -expansion from conformal field theory (2015, background): “An interesting open question is whether conformal bootstrap can reproduce these See [13–17] for prior work and [18–20] for closely related results by another technique.”
- Bootstrapping mixed correlators in the 3D Ising model (2014, unknown): “05(5) using the truncated bootstrap approach [24].”
- Conformal invariance in the long-range Ising model (2015, methodology): “An alternative technique has been developed in [20–22].”
- Bootstrapping the O(N) archipelago (2015, unknown): “In recent years great progress has been made in the conformal bootstrap in d > 2, including rigorous bounds on operator dimensions and operator product expansion (OPE) coefficients [3–32], analytical constraints [33–45], and methods for approximate direct solutions to the bootstrap [46–49], includin”
- Three loop analysis of the critical O (N) models in 6-ε dimensions (2014, methodology): “It would be interesting to study this Z2 symmetric fixed point using a conformal boostrap approach along the lines of [29].”
- An Asymptotically Safe Guide to Quantum Gravity and Matter (2018, methodology): “It has been characterized with various methods (Guida and Zinn-Justin, 1998; Campostrini et al., 1999; Pelissetto and Vicari, 2002; Canet et al., 2003; Litim and Zappala, 2011; ElShowk et al., 2012, 2014; Gliozzi and Rago, 2014) and serves as a benchmark example for many techniques.”