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Energy gap, clustering, and the Goldstone theorem in statistical mechanics

https://doi.org/10.1007/bf01010937
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01011509openalex-snapshot
Estimates of critical lengths and critical temperatures for classical and quantum lattice systems
inferredcites →https://doi.org/10.1007/bf01614209openalex-snapshot
Stability properties of equilibrium states
inferredcites →https://doi.org/10.1007/bf01645173openalex-snapshot
Range of forces and broken symmetries in many-body systems
inferredcites →https://doi.org/10.1007/bf01646017openalex-snapshot
The Heisenberg ferromagnet as a quantum field theory
inferredcites →https://doi.org/10.1007/bf01646447openalex-snapshot
Spontaneous breakdown of symmetries and zero-mass states
inferredcites →https://doi.org/10.1007/bf01651541openalex-snapshot
Stability and equilibrium states
inferredcites →https://doi.org/10.1007/bf01773346openalex-snapshot
Conserved currents and associated symmetries; Goldstone's theorem
inferredcites →https://doi.org/10.1007/bf02906423openalex-snapshot
Concerning the ground state of the infinite heisenberg antiferromagnet
inferredcites →https://doi.org/10.1016/0003-4916(81)90183-4openalex-snapshot
Translation invariance in statistical mechanics of classical continuous systems
inferredcites →https://doi.org/10.1063/1.522789openalex-snapshot
Goldstone’s theorem for quantum spin systems of finite range
inferredcites →https://doi.org/10.1103/physrev.127.965openalex-snapshot
Broken Symmetries
inferredcites →https://doi.org/10.1103/physrev.131.2364openalex-snapshot
Broken Symmetries and Massless Particles
inferredcites →https://doi.org/10.1103/physrevlett.45.853openalex-snapshot
Can Classical Statistical Mechanics Describe an Infinite Crystal?

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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inferred← citeshttps://doi.org/10.1002/prop.2190350502openalex-snapshot
Charges and Symmetries in Quantum Theories without Locality
inferred← citeshttps://doi.org/10.1007/3-540-11192-1_7openalex-snapshot
Goldstone theorem in statistical mechanics
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Equilibrium theory of spin glasses: Mean-field theory and beyond
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The Goldstone Theorem at Non-zero Temperature
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Valence Bond Ground States in Isotropic Quantum Antiferromagnets
inferred← citeshttps://doi.org/10.1007/bf00419319openalex-snapshot
Goldstone theorem for bose systems
inferred← citeshttps://doi.org/10.1007/bf01020779openalex-snapshot
The mermin-wagner phenomenon and cluster properties of one- and two-dimensional systems
inferred← citeshttps://doi.org/10.1007/bf01208371openalex-snapshot
Euclidean invariance in statistical mechanics of classical continuous system
inferred← citeshttps://doi.org/10.1007/bf01218021openalex-snapshot
Valence bond ground states in isotropic quantum antiferromagnets
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Thermodynamic stability and decay of correlation in almost periodic and general aperiodic systems with special emphasis on interface structures
inferred← citeshttps://doi.org/10.1007/bf01342186openalex-snapshot
Energy-entropy inequalities for classical lattice systems
inferred← citeshttps://doi.org/10.1007/bf02175562openalex-snapshot
Quantum fluctuations in quantum lattice systems with continuous symmetry
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Fluctuation oscillations and symmetry breaking: The BCS-model
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Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States
inferred← citeshttps://doi.org/10.1007/s00220-006-0030-4openalex-snapshot
Spectral Gap and Exponential Decay of Correlations
inferred← citeshttps://doi.org/10.1007/s00220-007-0342-zopenalex-snapshot
A Multi-Dimensional Lieb-Schultz-Mattis Theorem
inferred← citeshttps://doi.org/10.1007/s00220-021-04148-1openalex-snapshot
Dimerization in Quantum Spin Chains with O(n) Symmetry
inferred← citeshttps://doi.org/10.1007/s002200000342openalex-snapshot
Goldstone Boson Normal Coordinates
inferred← citeshttps://doi.org/10.1007/s10955-013-0850-5openalex-snapshot
On Gapped Phases with a Continuous Symmetry and Boundary Operators
inferred← citeshttps://doi.org/10.1016/0375-9601(95)00246-yopenalex-snapshot
Energy spectra of the Nambu-Goldstone modes in the Hubbard model
inferred← citeshttps://doi.org/10.1016/0550-3213(84)90308-0openalex-snapshot
Non-relativistic supersymmetry
inferred← citeshttps://doi.org/10.1016/j.physrep.2024.05.006openalex-snapshot
A mathematical theory of the critical point of ferromagnetic Ising systems
inferred← citeshttps://doi.org/10.1016/s0375-9601(02)00068-3openalex-snapshot
Almost any quantum spin system with short-range interactions can support toric codes
inferred← citeshttps://doi.org/10.1023/a:1007396827804openalex-snapshot
On the Spectra of the Kink for Ferromagnetic XXZ Models
inferred← citeshttps://doi.org/10.1063/1.1424474openalex-snapshot
Fluctuation operators and spontaneous symmetry breaking
inferred← citeshttps://doi.org/10.1063/1.2437652openalex-snapshot
Spectral gap and decay of correlations in U(1)-symmetric lattice systems in dimensions D<2
inferred← citeshttps://doi.org/10.1063/1.3526961openalex-snapshot
A Goldstone theorem in thermal relativistic quantum field theory
inferred← citeshttps://doi.org/10.1063/1.4978328openalex-snapshot
Emergence of spontaneous symmetry breaking in dissipative lattice systems
inferred← citeshttps://doi.org/10.1063/1.5095769openalex-snapshot
Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms
inferred← citeshttps://doi.org/10.1088/0305-4470/18/4/017openalex-snapshot
Temperature states, ground states and relativistic vacuum states in the context of symmetry breakdown
inferred← citeshttps://doi.org/10.1088/0305-4470/37/30/004openalex-snapshot
Slow decay of dynamical correlation functions for nonequilibrium quantum states
inferred← citeshttps://doi.org/10.1088/1742-5468/2007/05/p05010openalex-snapshot
Quasi-adiabatic continuation in gapped spin and fermion systems: Goldstone’s theorem and flux periodicity
inferred← citeshttps://doi.org/10.1088/1751-8113/42/1/015207openalex-snapshot
On the mathematical theory of superfluidity
inferred← citeshttps://doi.org/10.1090/pspum/076.1/2310198openalex-snapshot
Quantum spin systems after DLS 1978
inferred← citeshttps://doi.org/10.1103/5lrn-h3cgopenalex-snapshot
Undecidability of the spectral gap in rotationally symmetric Hamiltonians
inferred← citeshttps://doi.org/10.1142/s0217979210055378openalex-snapshot
BOGOLIUBOV'S VISION: QUASIAVERAGES AND BROKEN SYMMETRY TO QUANTUM PROTECTORATE AND EMERGENCE
inferred← citeshttps://doi.org/10.1142/s2661339525500027openalex-snapshot
Wigner Crystallization Versus Goldstone Theorem in a 2D Surface One Component Plasma
inferred← citeshttps://doi.org/10.48550/arxiv.0805.3022openalex-snapshot
Spontaneous Symmetry Breaking of Lorentz and (Galilei) Boosts in (Relativistic) Many-Body Systems
inferred← citeshttps://doi.org/10.48550/arxiv.1712.09018openalex-snapshot
Maximum Spontaneous Magnetization and Nambu-Goldstone Mode
inferred← citeshttps://doi.org/10.48550/arxiv.math-ph/0106024openalex-snapshot
Some properties for the low-lying spectrum of the ferromagnetic, quantum XXZ spin system
inferred← citeshttps://doi.org/10.48550/arxiv.math-ph/0603017openalex-snapshot
Quantum Spin Systems after DLS1978
inferred← citeshttps://doi.org/10.48550/arxiv.math-ph/9809027openalex-snapshot
Interface states of quantum spin systems
inferred← citeshttps://doi.org/10.48550/arxiv.quant-ph/0207162openalex-snapshot
Dynamical Aspects of Information Storage in Quantum-Mechanical Systems
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