Non-relativistic Nambu-Goldstone modes associated with spontaneously broken space-time and internal symmetries
arXiv:1402.6826 · doi:10.1103/PhysRevLett.113.120403
Abstract
We show that a momentum operator of a translational symmetry may not commute with an internal symmetry operator in the presence of a topological soliton in non-relativistic theories. As a striking consequence, there appears a coupled Nambu-Goldstone mode with a quadratic dispersion consisting of translational and internal zero modes in the vicinity of a domain wall in an O(3) sigma model, a magnetic domain wall in ferromagnets with an easy axis.
13 pages (including Supplemental Material), 1 figure, 3 mpg files (relativistic NG modes for translation and phase, and coupled type-II NG mode), v2: the same text, mpg files added, v3: added discussion on interpolation between relativistic and non-relativistic NG modes, published version
References in corpus (9)
- All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
- Counting rule for Nambu-Goldstone modes in nonrelativistic systems
- Construction of Non-Abelian Walls and Their Complete Moduli Space
- Non-Abelian Walls in Supersymmetric Gauge Theories
- Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
- D-brane Construction for Non-Abelian Walls
- Josephson vortices and the Atiyah-Manton construction
- Nambu-Goldstone bosons with fractional-power dispersion relations
- Noncommuting Momenta of Topological Solitons
Cited by in corpus (29)
- Counting Rules of Nambu-Goldstone Modes
- Landau-Peierls instability in a Fulde-Ferrell type inhomogeneous chiral condensed phase
- Counting rule of Nambu-Goldstone modes for internal and spacetime symmetries: Bogoliubov theory approach
- Dispersion relations of Nambu-Goldstone modes at finite temperature and density
- Anomalous electrodynamics of neutral pion matter in strong magnetic fields
- Fractional instantons and bions in the O(N) model with twisted boundary conditions
- Counting Nambu-Goldstone modes of higher-form global symmetries
- Effective field theory for spacetime symmetry breaking
- Magnetic Domain Walls as Hosts of Spin Superfluids and Generators of Skyrmions
- Nambu-Goldstone Modes Propagating along Topological Defects: Kelvin and Ripple Modes from Small to Large Systems
- Axion electrodynamics and nonrelativistic photons in nuclear and quark matter
- Spin textures and spin-wave excitations in doped Dirac-Weyl semimetals
- Quasi-Nambu-Goldstone modes in nonrelativistic systems
- Baryonic torii: Toroidal baryons in a generalized Skyrme model
- Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
- Conformal symmetry of trapped Bose-Einstein condensates and massive Nambu-Goldstone modes
- Non-relativistic Nambu-Goldstone modes propagating along a skyrmion line
- Topological interactions of Nambu-Goldstone bosons in quantum many-body systems
- Exact Ground States and Domain Walls in One Dimensional Chiral Magnets
- Effective Field Theory for Spontaneously Broken Symmetry
- Interpolating relativistic and non-relativistic Nambu-Goldstone and Higgs modes
- Effective field theory of magnon: Dynamics in chiral magnets and Schwinger mechanism
- Field theoretical model of multi-layered Josephson junction and dynamics of Josephson vortices
- Quantum Exact Non-Abelian Vortices in Non-relativistic Theories
- Speed limit in internal space of domain walls via all-order effective action of moduli motion
- Effective field theory of fluctuating wall in open systems: from a kink in Josephson junction to general domain wall
- Modified dilepton production rate from charged pion-pair annihilation in the inhomogeneous chiral condensed phase
- Magnetic D-brane solitons: skyrmion strings ending on a Néel wall in chiral magnets
- Investigations of symmetry breakings by multiple condensates on exotic chiral condensed phases