Temporally, Spatially or Light-like Modulated Vacua in Lorentz Invariant Theories

Abstract

We study the vacuum structure of a class of Lorentz invariant field theories where the vacuum expectation values are not constant but are (phase) modulated. The vacua are classified into spatial, temporal, and light-like modulation types according to the patterns of spontaneous breaking of translational symmetry. The conditions for having temporal or light-like modulated vacua imply severe constraints on the models. We utilize the notion of generalized Nambu-Goldstone modes which appear in the modulated vacua. Finally, we examine fluctuation modes around these vacua and discuss their dynamics and the absence of ghosts.

arXiv comment36 pages, 2 figures, version published in PRD

References in corpus (38)

• Observation of a Discrete Time Crystal
• Observation of discrete time-crystalline order in a disordered dipolar many-body system
• Quantum Time Crystals
• Ghost Condensation and a Consistent Infrared Modification of Gravity
• Spin-Imbalance in a One-Dimensional Fermi Gas
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Absence of Quantum Time Crystals
• Classical Time Crystals
• Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem
• Imbalanced Feshbach-resonant Fermi gases
• Gravity Dual of Spatially Modulated Phase
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Chiral symmetry and density wave in quark matter
• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• How many phases meet at the chiral critical point?
• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• Fluctuations and phase transitions in Larkin-Ovchinnikov liquid crystal states of population-imbalanced resonant Fermi gas
• More on gapped Goldstones at finite density: More gapped Goldstones
• Effective holographic theory of charge density waves
• Phonons, pions and quasi-long-range order in spatially modulated chiral condensates
• DC resistivity of quantum critical, charge density wave states from gauge-gravity duality
• Intertwined order and holography: the case of the parity breaking pair density wave
• Landau-Peierls instability in a Fulde-Ferrell type inhomogeneous chiral condensed phase
• A holographic perspective on phonons and pseudo-phonons
• Spontaneous Symmetry Probing
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• Commensurate lock-in in holographic non-homogeneous lattices
• Spatially Modulated Vacua in a Lorentz-invariant Scalar Field Theory
• Spin imbalance effect on Larkin-Ovchinnikov-Fulde-Ferrel state
• Fulde-Ferrell-Larkin-Ovchinnikov states in a superconducting ring with magnetic fields: Phase diagram and the first-order phase transitions
• Supersymmetry Breaking in Spatially Modulated Vacua
• Supersymmetry breaking and ghost Goldstino in modulated vacua
• Diffusive Nambu-Goldstone modes in quantum time-crystals
• Temporal Chiral Spiral in Strong Magnetic Fields
• Solitons and Their Arrays: from Quasi One-Dimensional Conductors to Stripes

Cited by in corpus (11)

• Holographic Axion Model: a simple gravitational tool for quantum matter
• How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
• BPS soliton-impurity models and supersymmetry
• Universal Bounds on Transport in Holographic Systems with Broken Translations
• Effective Field Theory for Quasicrystals and Phasons Dynamics
• Homogeneous Holographic Viscoelastic Models & Quasicrystals
• Chiral Magnets from String Theory
• Supersymmetry breaking and ghost Goldstino in modulated vacua
• Solitonic ground state in supersymmetric theory in background
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Vacua by Derivative Corrections in $\mathcal{N}=1$ Supergravity with Matter Multiplets