Pathologies of the large-\(N\) limit for \(\mathbb{RP}^{N-1}\), \(\mathbb{CP}^{N-1}\), \(\mathbb{QP}^{N-1}\) and mixed isovector/isotensor \(\sigma\)-models
From MaRDI portal
Publication:5935226
DOI10.1016/S0550-3213(01)00065-7zbMath0997.81073arXivhep-lat/0011043OpenAlexW1979627275WikidataQ56893286 ScholiaQ56893286MaRDI QIDQ5935226
Alan D. Sokal, Andrei O. Starinets
Publication date: 20 June 2001
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-lat/0011043
Related Items (10)
Phase transitions in one dimension and less ⋮ Liquid-gas and other unusual thermal phase transitions in some large-\(N\) magnets ⋮ Critical points in the CP N−1 model ⋮ Two-dimensional Heisenberg model with nonlinear interactions: \(1/N\) corrections ⋮ Large-N behavior of three-dimensional lattice CP N−1 models ⋮ The bundle Laplacian on discrete tori ⋮ Zeta functions, heat kernels, and spectral asymptotics on degenerating families of discrete tori ⋮ On the mean-field spherical model ⋮ Critical points in the RP N−1 model ⋮ Provable first-order transitions for nonlinear vector and gauge models with continuous sym\-metries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the zeros and poles of Padè approximants to \(e^z\). III
- Continuum limits and exact finite-size-scaling functions for one-dimensional \(O(N)\)-invariant spin models
- Phase structure of two-dimensional spin models and percolation
- On the zeros of the partial sums to \(_1F_1(1;b;z)\)
- On the slow decay of \(O(2)\) correlations in the absence of topological excitations: Remark on the Patrascioiu-Seiler model
- Normal families
- Nonlinear Models on Symmetric Spaces and Large N Limit
- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">O</mml:mi><mml:mn /><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>Matrix Spin Model with Unusual Critical Behavior in the Limit<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi><mml:mo>→</mml:mo><mml:mi>∞</mml:mi></mml:math>
- THE LACE EXPANSION FOR SELF-AVOIDING WALK IN FIVE OR MORE DIMENSIONS
- Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind
- Zero-Free Parabolic Regions for Sequences of Polynomials
- Definite integrals of the complete elliptic integral K
- Fourier Transforms with Only Real Zeros
- Extended Watson integrals for the cubic lattices
- Uniform Asymptotic Expansions of Confluent Hypergeometric Functions
- Statistical Field Theory
- New universality classes in one-dimensional O(N)-invariant spin-models with an n-parametric action
- The Szego curve, zero distribution and weighted approximation
- Intermediate phases in mixed nematic/Heisenberg spin models
- A class of integrals associated with the Bethe ansatz
- Chromatic Roots are Dense in the Whole Complex Plane
- Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
This page was built for publication: Pathologies of the large-\(N\) limit for \(\mathbb{RP}^{N-1}\), \(\mathbb{CP}^{N-1}\), \(\mathbb{QP}^{N-1}\) and mixed isovector/isotensor \(\sigma\)-models
