Field Theory of Dissipative Systems with Gapped Momentum States
arXiv:2004.13613 · doi:10.1103/PhysRevD.102.025012
Abstract
We develop a field theory with dissipation based on a finite range of wave propagation and associated gapped momentum states in the wave spectrum. We analyze the properties of the Lagrangian and the Hamiltonian with two scalar fields in different representations and show how the new properties of the two-field Lagrangian are related to Keldysh-Schwinger formalism. The proposed theory is non-Hermitian, and we discuss its properties related to symmetry. The calculated correlation functions show a decaying oscillatory behavior related to gapped momentum states. We corroborate this result using path integration. The interaction potential becomes short-ranged due to dissipation. Finally, we observe that the proposed field theory represents a departure from the harmonic paradigm and discuss the implications of our theory for the Lagrangian formulation of hydrodynamics.
arXiv commentv3: matching the published version (PRD)
References in corpus (43)
- Making Sense of Non-Hermitian Hamiltonians
- Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- From AdS/CFT correspondence to hydrodynamics
- Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
- Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
- Quasinormal modes and holography
- Lectures on hydrodynamic fluctuations in relativistic theories
- Collective modes and thermodynamics of the liquid state
- A review of progress in the physics of open quantum systems: theory and experiment
- "Liquid-gas" transition in the supercritical region: Fundamental changes in the particle dynamics
- Universal origin of boson peak vibrational anomalies in ordered crystals and in amorphous materials
- Viscosity and dissipative hydrodynamics from effective field theory
- Viscous plasma evolution from gravity using AdS/CFT
- Dual PT-Symmetric Quantum Field Theories
- Holography and hydrodynamics with weakly broken symmetries
- Gapped momentum states
- Emergence and evolution of -gap in spectra of liquid and supercritical states
- Ghost Busting: PT-Symmetric Interpretation of the Lee Model
- Minimal quantum viscosity from fundamental physical constants
- Dissipation in the effective field theory for hydrodynamics: First order effects
- The eightfold way to dissipation
- Symmetries and conservation laws in non-Hermitian field theories
- Spontaneous symmetry breaking and the Goldstone theorem in non-Hermitian field theories
- Holographic Schwinger-Keldysh effective field theories
- A panoply of Schwinger-Keldysh transport
- Gauge invariance and the Englert-Brout-Higgs mechanism in non-Hermitian field theories
- Understanding the problem of glass transition on the basis of elastic waves in a liquid
- Lagrangian formulation and symmetrical description of liquid dynamics
- Unified theory of vibrational spectra in amorphous materials
- Low frequency propagating shear waves in holographic liquids
- Maxwell interpolation and close similarities between liquids and holographic models
- Vibrational density of states and specific heat in glasses from random matrix theory
- Holographic Plasmon Relaxation with and without Broken Translations
- Hydrodynamics of disordered marginally-stable matter
- Non-Hermitian Chiral Magnetic Effect in Equilibrium
- Quantum dissipation in a scalar field theory with gapped momentum states
- Black hole quasinormal modes in the era of LIGO
- Non-divergent representation of non-Hermitian operator near the exceptional point with application to a quantum Lorentz gas
- Transverse Collective Modes in Interacting Holographic Plasmas
- Generalized unparticles, zeros of the Green function, and momentum space topology of the lattice model with overlap fermions
- Consistent description of field theories with non-Hermitian mass terms
- Effective Non-Hermitian Hamiltonians for Studying Resonance Statistics in Open Disordered Systems
- Stable equilibrium point and oscillatory motion of the Universe in a model with variable vacuum energy
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- How does heat propagate in Liquids?
- A novel general modeling of the viscoelastic properties of fluids: application to mechanical relaxation and low frequency oscillation measurements of liquid water
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