Goldstone and Pseudo-Goldstone Bosons in Nuclear, Particle and Condensed-Matter Physics

Abstract

These notes review the effective lagrangian treatment of Goldstone and pseudo-Goldstone bosons, taking examples from high-energy/nuclear and condensed-matter physics. The contents are: 1. Goldstone Bosons 2. Pions: A Relativistic Application 3. Magnons: Nonrelativistic Applications 4. SO(5) Invariance and Superconductors 5. Bibliography

119 pages, LaTeX, five figures included with epsf. Lectures given to NUSS98, Seoul National University, June 1998. Typos cleaned up and minor changes to improve the presentation

References in corpus (6)

• $Nd\to {}^{3}H\gamma$ with Effective Field Theory
• What is Quantum Field Theory, and What Did We Think It Is?
• Effective Field Theory in Condensed Matter Physics
• A Microscopic Derivation of the SO(5)-Symmetric Landau-Ginzburg Potential
• A Critique of ``A Critique of Two Metals''
• A Critique of Two Metals

Cited by in corpus (106)

• Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
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• Chiral Perturbation Theory Beyond One Loop
• Particle-Vortex Duality and the Modular Group: Applications to the Quantum Hall Effect and Other 2-D Systems
• General Axisymmetric Solutions and Self-Tuning in 6D Chiral Gauged Supergravity
• Axion Quasiparticles for Axion Dark Matter Detection
• A Higgs or Not a Higgs? What to Do if You Discover a New Scalar Particle
• Holographic Axion Model: a simple gravitational tool for quantum matter
• Counting Rules of Nambu-Goldstone Modes
• Emergent Models for Gravity: an Overview of Microscopic Models
• Robust Inflation from Fibrous Strings
• Selected Topics in the Large Quantum Number Expansion
• Colloquium: Hydrodynamics and holography of charge density wave phases
• Hydrodynamic fluctuations and the minimum shear viscosity of the dilute Fermi gas at unitarity
• Ultraviolet Sensitivity in Higher Dimensions
• General coordinate invariance in quantum many-body systems
• Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
• Ultralight bosons for strong gravity applications from simple Standard Model extensions
• Effective Actions, Boundaries and Precision Calculations of Casimir Energies
• Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence
• Inflating with Large Effective Fields
• Effective Field Theory for Quasicrystals and Phasons Dynamics
• Pseudo-spontaneous $U(1)$ Symmetry Breaking in Hydrodynamics and Holography
• Effective theory for deformed nuclei
• UV Sensitivity in Supersymmetric Large Extra Dimensions: The Ricci-flat Case
• Low-Energy Excitations of Skyrmion Crystals in a Centrosymmetric Kondo-Lattice Magnet: Decoupled Spin-Charge Excitations and Nonreciprocity
• Feeding your Inflaton: Non-Gaussian Signatures of Interaction Structure
• Multicritical Symmetry Breaking and Naturalness of Slow Nambu-Goldstone Bosons
• Effective Lagrangians for quantum many-body systems
• Spontaneous Magnetization of the O(3) Ferromagnet at Low Temperatures
• Cascading Multicriticality in Nonrelativistic Spontaneous Symmetry Breaking
• Spontaneous Magnetization of an Ideal Ferromagnet: Beyond Dyson's Analysis
• On a radiative origin of the Standard Model from Trinification
• Bulk Axions, Brane Back-reaction and Fluxes
• From Rational Bubbles to Crashes
• The Hierarchy Problem and the Self-Localized Higgs
• Effective field theory and dispersion law of the phonons of a non-relativistic superfluid
• U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography
• Thermodynamics of O(N) Antiferromagnets in 2+1 Dimensions
• Accidental SUSY: Enhanced Bulk Supersymmetry from Brane Back-reaction
• The Schwinger-Keldysh Coset Construction
• Low-Temperature Properties of Two-Dimensional Ideal Ferromagnets
• Inflation by Alignment
• Quench dynamics of a confined ultracold Fermi gas: Direct visibility of the Goldstone mode in the single-particle excitations
• Analogue Models for Emergent Gravity
• Pseudo-Goldstone modes and dynamical gap generation from order-by-thermal-disorder
• Pure Goldstone mode in the quench dynamics of a confined ultracold Fermi gas in the BCS-BEC crossover regime
• Electroweak Corrections in a Pseudo-Nambu Goldstone Dark Matter Model Revisited
• A Definition of Background Independence
• Topological interactions of Nambu-Goldstone bosons in quantum many-body systems
• Optimal anti-ferromagnets for light dark matter detection
• An Introduction to Effective Field Theories
• Effective field theory and the scattering process for magnons in the ferromagnet, antiferromagnet, and ferrimagnet
• Observation of Momentum Space Josephson Effects
• Hadronic interactions of the J/psi and Adler's theorem
• Magnon Inflation: Slow Roll with Steep Potentials
• Valley-polarized nematic order in twisted moiré systems: In-plane orbital magnetism and non-Fermi liquid to Fermi liquid crossover
• Thermodynamics of Two-Dimensional Ideal Ferromagnets - Three-Loop Analysis
• Hydrodynamic fluctuations in relativistic superfluids
• Thermal fluctuations in the conical state of monoaxial helimagnets
• Isospin Breaking in $K_{\ell 4}$ Decays of the Neutral Kaon
• Collective modes at a disordered quantum phase transition
• Effective field theory of magnon: Dynamics in chiral magnets and Schwinger mechanism
• Inhomogeneous mean-field approach to collective excitations in disordered interacting bosons
• Flavor vacuum entanglement in boson mixing
• Eta Photoproduction as a Test of the Extended Chiral Symmetry
• Pseudo-Goldstone Excitations in a Striped Bose-Einstein Condensate
• Dissipative fracton superfluids
• Quintessentially Flat Scalar Potentials
• Magnon-Magnon Interactions in O(3) Ferromagnets and Equations of Motion for Spin Operators
• Criteria for the absence of quantum fluctuations after spontaneous symmetry breaking
• Low-Temperature Properties of Ferromagnetic Spin Chains in a Magnetic Field
• Order-by-disorder without quantum zero-point fluctuations in the pyrochlore Heisenberg ferromagnet with Dzyaloshinskii-Moriya interactions
• Magnon Energy Renormalization and Low-Temperature Thermodynamics of O(3) Heisenberg Ferromagnets
• A new class of quantum bound states: diprotons in extreme magnetic fields
• Goldstone Boson Interaction in D=2+1 (Pseudo-)Lorentz-Invariant Systems with a Spontaneously Broken Internal Rotation Symmetry
• Systematic Effective Field Theory Analysis of the D=2+1 Quantum XY Model at Low Temperatures
• Universality of pseudo-Goldstone damping near critical points
• Non-equilibrium dynamics in Holography
• Localization of the Higgs mode at the superfluid-Mott glass transition
• Ground state properties of the Heisenberg-compass model on the square lattice
• Mermin-Wagner at the Crossover Temperature
• Dynamical Mass Generations and Collective Excitations in the (Supersymmetric-)Nambu$-$Jona-Lasinio Model and a Gauge Theory with Left-Right-Asymmetric Majorana Mass Terms
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• Chiral effective field theories of the strong interactions
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• Quantum Gravity and Precision Tests
• Thermodynamics of the $d$=3+1 Quantum XY Model
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• Electromagnetism and photons in continuous media
• Scalar susceptibility of a diluted classical XY model
• An introduction to Goldstone boson physics and to the coset construction
• An EFT for anisotropic anti-ferromagnets: gapped Goldstones, pseudo-Goldstones, and phase transitions
• Geometry of Classical Nambu-Goldstone Fields
• Spontaneous symmetry breaking in strong and electroweak interactions
• D-Brane Chemistry
• Hamiltonian dynamics of classical spins
• $\hslash$-perturbative solutions of quantum Snyder and Yang models with parameters describing spontaneous symmetry breaking
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• Remarks on Goldstone bosons and hard thermal loops