First-order and pseudo-first-order transition in the high dimensional O(N)⊗ O(M) model

2021/04/30 by А. О. Сорокин, A. O. Sorokin, Sorokin, A. O.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.2105.00072

6 pages, 5 figures

arxiv created 2021/04/30 · openalex publication_date 2021/04/30 · arxiv updated 2021/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the renormalization group approach, we consider the O(N)⊗ O(M) model in four and more dimensions. We find that independently on N and M, for N≥ M≥ 2, a transition can be of both the first and second order. In d>4, we also cannot exclude a pseudo-first-order behavior. As specific physically interesting cases, we consider the lattice version of the O(2)⊗ O(2), O(3)⊗ O(2) and O(3)⊗ O(3) sigma models on a four dimensional hypercubic lattice. In all these cases, we find a distinct first-order transition.

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