Effective Field Theory for Spontaneously Broken Symmetry
arXiv:2404.14518 · doi:10.1007/978-3-031-48378-3
Abstract
This is a preprint of an open-access book published by Springer Cham. The book gives an up-to-date overview of the physics of spontaneously broken continuous symmetry from the point of view of effective field theory. Upon building up the necessary foundations, the text reviews the classification of Nambu-Goldstone bosons and then focuses on the construction of the effective-field-theoretic description of their dynamics. Both internal and spacetime broken symmetries are covered, including numerous illustrative examples and a few selected applications, worked out in greater detail.
arXiv comment400 pages; preprint of an open-access book published by Springer Cham. Comments are welcome, no citation requests please
References in corpus (96)
- Generalized Global Symmetries
- The Effective Field Theory of Inflation
- Quantum Time Crystals
- Absence of Quantum Time Crystals
- On the Foundations of Chiral Perturbation Theory
- Classical Time Crystals
- General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
- Null energy condition and superluminal propagation
- Impossibility of Spontaneously Rotating Time-Crystals: A No-Go Theorem
- Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem
- Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
- Solid Inflation
- Effective Field Theories from Soft Limits
- Nonrelativistic effective Lagrangians
- Colloquium: Quantum and Classical Discrete Time Crystals
- An Introduction to Spontaneous Symmetry Breaking
- On-Shell Recursion Relations for Effective Field Theories
- Spacetime Symmetries of the Quantum Hall Effect
- A Periodic Table of Effective Field Theories
- Counting rule for Nambu-Goldstone modes in nonrelativistic systems
- Perfect Fluid Theory and its Extensions
- Computation of the O(p^6) order low-energy constants: an update
- Relativistic Fluids, Superfluids, Solids and Supersolids from a Coset Construction
- Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems
- Field Theories With a Vector Global Symmetry
- Lectures on the Quantum Hall Effect
- On the number of Nambu-Goldstone bosons and its relation to charge densities
- Redundancies in Nambu-Goldstone Bosons
- On the coupling of Galilean-invariant field theories to curved spacetime
- Galileons as Wess-Zumino Terms
- Effective Lagrangian for Nonrelativistic Systems
- A Hidden Symmetry of the Galileon
- Effective Lagrangian and Topological Interactions in Supersolids
- Soft Bootstrap and Supersymmetry
- Massive Nambu-Goldstone Bosons
- Meson condensation
- A relativistic non-relativistic Goldstone theorem: gapped Goldstones at finite charge density
- QCD Inequalities
- Anyon spin and the exotic central extension of the planar Galilei group
- Symmetry Breaking and Finite Size Effects in Quantum Many-Body Systems
- Relativistic fluid dynamics: physics for many different scales
- Galileon Duality
- Discovering Technicolor
- General Effective Actions
- Riemann Normal Coordinate expansions using Cadabra
- Spontaneous breaking of spacetime symmetries and the inverse Higgs effect
- The absence of finite-temperature phase transitions in low-dimensional many-body models: a survey and new results
- An Introduction to Higher-Form Symmetries
- Spontaneous breaking of continuous translational invariance
- Adler's Zero and Effective Lagrangians for Nonlinearly Realized Symmetry
- Quasi-Nambu-Goldstone Modes in Bose-Einstein Condensates
- Invariant Effective Actions, Cohomology of Homogeneous Spaces and Anomalies
- Introduction to Generalized Global Symmetries in QFT and Particle Physics
- Wess-Zumino Terms for Relativistic Fluids, Superfluids, Solids, and Supersolids
- Effective Field Theory Approach to Ferromagnets and Antiferromagnets in Crystaline Solids
- The coset construction for non-equilibrium systems
- Nonlinear realizations of symmetries and unphysical Goldstone bosons
- New Soft Theorems for Goldstone Boson Amplitudes
- Nonlinear smectic elasticity of a helical state in cholesterics and helimagnets
- Double Soft Theorems and Shift Symmetry in Nonlinear Sigma Models
- Nambu-Goldstone bosons with fractional-power dispersion relations
- Non-relativistic Nambu-Goldstone modes associated with spontaneously broken space-time and internal symmetries
- Dispersion relations of Nambu-Goldstone modes at finite temperature and density
- UV completion without symmetry restoration
- Counting Nambu-Goldstone modes of higher-form global symmetries
- An Algebraic Classification of Exceptional EFTs
- Inequivalence of Coset Constructions for Spacetime Symmetries
- Multicritical Symmetry Breaking and Naturalness of Slow Nambu-Goldstone Bosons
- Effective field theory for spacetime symmetry breaking
- Effective Lagrangians for quantum many-body systems
- Spontaneous Magnetization of the O(3) Ferromagnet at Low Temperatures
- Effective Lagrangian for Nambu-Goldstone modes in nonequilibrium open systems
- Spontaneous symmetry breaking in the linear sigma model at finite chemical potential: One-loop corrections
- Cascading Multicriticality in Nonrelativistic Spontaneous Symmetry Breaking
- Field theories with higher-group symmetry from composite currents
- Goldstone modes in Larkin-Ovchinnikov-Fulde-Ferrell superconductors
- Broken spacetime symmetries and elastic variables
- Gauged Wess-Zumino terms for a general coset space
- Quasi-Nambu-Goldstone modes in nonrelativistic systems
- Triangle anomalies and nonrelativistic Nambu-Goldstone modes of generalized global symmetries
- Non-relativistic Nambu-Goldstone modes propagating along a skyrmion line
- Lectures on Effective Field Theory
- Effective Field Theories on the Jet Bundle
- An Introduction to Effective Field Theories
- Introduction to Effective Field Theories
- Nonrelativistic effective field theories with enhanced symmetries and soft behavior
- Nonanalytic Corrections to Fermi-Liquid Behavior in Helimagnets
- Soft Phonon Theorems
- Lectures on Generalized Symmetries
- Scattering amplitudes of massive Nambu-Goldstone bosons
- An improved Noether's theorem for spacetime symmetries
- Solving puzzles of spontaneously broken spacetime symmetries
- Improvement of a conserved current density versus adding a total derivative to a Lagrangian density
- Coset space construction for the conformal group. I. Unbroken phase
- Inequivalent Goldstone Hierarchies for Spontaneously Broken Spacetime Symmetries
- Are there Goldstone bosons in ?
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- An EFT for anisotropic anti-ferromagnets: gapped Goldstones, pseudo-Goldstones, and phase transitions
- Discrete time crystal order in spin chains enabled by Floquet flat bands
- Geometric duality between effective field theories I: scattering amplitudes
- Effective field theory for the superfluid vortex lattice from coset construction
- Hamiltonian dynamics of classical spins