Tensor renormalization group computes symmetry-twisted partition functions to identify critical points solely from them, yielding Tc=2.2017(2) and nu=0.663(33) for the 3D O(2) model plus TBKT=0.8928(2) for the 2D O(2) BKT transition.
Carving out OPE space and preciseO(2) model critical exponents
7 Pith papers cite this work. Polarity classification is still indexing.
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Conformal bootstrap with a sparseness condition produces a cone whose apex matches QMC and fuzzy sphere data for the DQCP, supporting multicriticality via a relevant SO(5) singlet scalar.
A prototype successfully upgrades low-order extremal flow solutions to high numerical order for gap maximization in a simple spinning modular bootstrap test case.
Imposing a duality-inspired fusion rule that forbids the [ε] sector from appearing in the [ε] × [ε] OPE yields numerical bounds on (Δ_σ, Δ_ε) that include the 2d Ising model but exclude the 3d Ising model.
Functional dimensional regularization applied to the O(N) universality class yields critical exponents comparable to advanced non-perturbative methods while retaining efficiency and rapid convergence.
GoBlocks is a parallel Go package for recursive conformal-block evaluation that speeds moderate-precision bootstrap work and is demonstrated on mixed-correlator 3D Ising optimisation.
citing papers explorer
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Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions
Tensor renormalization group computes symmetry-twisted partition functions to identify critical points solely from them, yielding Tc=2.2017(2) and nu=0.663(33) for the 3D O(2) model plus TBKT=0.8928(2) for the 2D O(2) BKT transition.
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Bootstrap Cone of the Multicritical Deconfined Quantum Critical Point
Conformal bootstrap with a sparseness condition produces a cone whose apex matches QMC and fuzzy sphere data for the DQCP, supporting multicriticality via a relevant SO(5) singlet scalar.
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Upgrading Extremal Flows in the Space of Derivatives
A prototype successfully upgrades low-order extremal flow solutions to high numerical order for gap maximization in a simple spinning modular bootstrap test case.
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Conformal Bootstrap with Duality-Inspired Fusion Rule
Imposing a duality-inspired fusion rule that forbids the [ε] sector from appearing in the [ε] × [ε] OPE yields numerical bounds on (Δ_σ, Δ_ε) that include the 2d Ising model but exclude the 3d Ising model.
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Functional Dimensional Regularization for O(N) Models
Functional dimensional regularization applied to the O(N) universality class yields critical exponents comparable to advanced non-perturbative methods while retaining efficiency and rapid convergence.
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Efficient Conformal Block Evaluation with GoBlocks
GoBlocks is a parallel Go package for recursive conformal-block evaluation that speeds moderate-precision bootstrap work and is demonstrated on mixed-correlator 3D Ising optimisation.
- Conformal Data for the $O(2)$ Wilson-Fisher CFT in $(2+1)$-Dimensional Spacetime from Exact Diagonalization and Matrix Product States on the Fuzzy Sphere