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Three-dimensional $O(N)$-invariant $\phi^4$ models at criticality for $N\ge 4$

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arxiv 2112.03783 v2 pith:6QRYMW5E submitted 2021-12-07 hep-lat cond-mat.stat-mech

classification hep-latcond-mat.stat-mech
keywords invariantmodelscalingaccurateanalysiscarlocomparecontrol
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abstract

We study the $O(N)$-invariant $\phi^4$ model on the simple cubic lattice by using Monte Carlo simulations. By using a finite size scaling analysis, we obtain accurate estimates for the critical exponents $\nu$ and $\eta$ for $N=4$, $5$, $6$, $8$, $10$, and $12$. We study the model for each $N$ for at least three different values of the parameter $\lambda$ to control leading corrections to scaling. We compare our results with those obtained by other theoretical methods.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Accurate boundary bootstrap for the three-dimensional O($N$) normal universality class

    hep-th 2025-08 conditional novelty 6.0 of 10

    High-truncation eta-minimization bootstrap yields accurate boundary critical amplitudes for the 3d O(N) normal universality class, resolving prior Monte Carlo discrepancies and giving new Ising boundary data.

  2. Eliminating leading and subleading corrections to scaling in the three-dimensional XY universality class

    cond-mat.stat-mech 2025-07 accept novelty 6.0 of 10

    Tuning the ratio of two couplings in a cubic-lattice clock model removes the leading and shrinks the subleading corrections to scaling, yielding eta = 0.03816(2) and 1/nu = 1.48872(5).

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