BOGOLIUBOV'S VISION: QUASIAVERAGES AND BROKEN SYMMETRY TO QUANTUM PROTECTORATE AND EMERGENCE
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Publication:3560135
DOI10.1142/S0217979210055378zbMath1186.82002arXiv1110.1189MaRDI QIDQ3560135
Publication date: 19 May 2010
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.1189
chiralityemergencesymmetry principlesquantum theory of magnetismtheory of superconductivityquasiaveragesBogoliubov's inequalityquantum protectoratestatistical physics and condensed matter physicsthe breaking of symmetries
Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Statistical mechanics of superconductors (82D55) Symmetry breaking in quantum theory (81R40) Statistical mechanics of semiconductors (82D37) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)
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Cites Work
- More accurate theory for Bose-Einstein condensation fraction
- The two-dimensional Hubbard model on the honeycomb lattice
- Order by disorder, without order, in a two-dimensional spin system with \(O(2)\) symmetry
- Thermodynamic limit, Hilbert space and breaking of time symmetry
- Bose-Einstein condensation and spontaneous symmetry breaking
- The BCS functional for general pair interactions
- Absence of crystalline ordering in two dimensions
- Group theory of spontaneous symmetry breaking
- Absence of ordering in a class of lattice systems
- Flux operators of physical variables and the method of quasiaverages
- Quantum fluctuations in quantum lattice systems with continuous symmetry
- Effective potentials and Bogolyubov's quasi-averages
- Symmetry breaking in Heisenberg antiferromagnets
- Chirality and symmetry measures: a transdisciplinary review
- On the absence of spontaneous breakdown of continuous symmetry for equilibrium states in two dimensions
- Symmetry breaking and finite-size effects in quantum many-body systems
- There are no Goldstone bosons in two dimensions
- Spin-flip dynamics of the Curie-Weiss model: loss of Gibbsianness with possibly broken symmetry
- Conserved currents and associated symmetries; Goldstone's theorem
- On the asymptotic exactness of the Bogoliubov approximation for many boson systems
- An upper bound on the condensate fraction in a Bose gas with weak repulsion
- Generalized Goldstone theorem: Automatic imposition of the Higgs mechanism and application to scale and conformal symmetry breaking
- Nobel Lecture: Asymptotic freedom: From paradox to paradigm
- Theory of the weakly interacting Bose gas
- Historical roots of gauge invariance
- HIGH Tc SUPERCONDUCTIVITY: SYMMETRIES AND REFLECTIONS
- SPECTRAL PROPERTIES OF THE GENERALISED SPIN-FERMION MODELS
- Analysis and Computation of Symmetry-Breaking Bifurcation and Scaling Laws Using Group-Theoretic Methods
- Ground-State Energy and Excitation Spectrum of a System of Interacting Bosons
- On a new method in the theory of superconductivity
- Significance of Electromagnetic Potentials in the Quantum Theory
- Broken Symmetries
- THE HISTORY OF THE GURALNIK, HAGEN AND KIBBLE DEVELOPMENT OF THE THEORY OF SPONTANEOUS SYMMETRY BREAKING AND GAUGE PARTICLES
- Quantum Measurement Driven by Spontaneous Symmetry Breaking
- MANY-BODY PHYSICS AND SPONTANEOUS SYMMETRY BREAKING
- Numerical approximations of the Ginzburg–Landau models for superconductivity
- Spectral gap and decay of correlations in U(1)-symmetric lattice systems in dimensions D<2
- THEORY OF TRANSPORT PROCESSES AND THE METHOD OF THE NONEQUILIBRIUM STATISTICAL OPERATOR
- ANTICIPATING A NEW GOLDEN AGE
- On the Kondo Problem and Thermodynamics of Dilute Magnetic Alloys
- INTERACTING QUANTUM TOPOLOGIES AND THE QUANTUM HALL EFFECT
- Long-range order in lattice spin systems
- Plasmons, Gauge Invariance, and Mass
- Spontaneous Breakdown of Elementary Particle Symmetries
- Bifurcation and symmetry breaking in applied mathematics
- BOUND AND SCATTERING STATES OF ITINERANT CHARGE CARRIERS IN COMPLEX MAGNETIC MATERIALS
- Néel order in the ground state of Heisenberg antiferromagnetic chains with long-range interactions
- A NEW LOOK AT GOLDSTONE’S THEOREM
- ERGODIC CONDITION AND MAGNETIC MODELS
- ON THE SYMMETRY BREAKING PHENOMENON
- EVOLUTION OF THE CONCEPT OF THE VECTOR POTENTIAL IN THE DESCRIPTION OF FUNDAMENTAL INTERACTIONS
- FROM BCS TO THE LHC
- Gauge formulation of general relativity using conformal and spin symmetries
- Emergent physics: Fermi-point scenario
- Phase transition in space: how far does a symmetry bend before it breaks?
- Generalized Group-Theoretical Analysis of Spontaneous Symmetry Breaking
- THE FUTURE OF PHYSICS
- The mathematical structure of the bardeen-cooper-schrieffer model
- Broken Symmetries and Massless Particles
- Spin Density Waves in an Electron Gas
- The Structure of Electronic Excitation Levels in Insulating Crystals
- On the Problem of Degeneracy in Quantum Mechanics
- On the Theory of Spin Waves in Ferromagnetic Media
- The Theoretical and Experimental Status of the Collective Electron Theory of Ferromagnetism
- Conservation Laws in Classical and Quantum Physics
- Antiferromagnetism
- Theory of Superconductivity
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