Hydrodynamic Transport Coefficients in Relativistic Scalar Field Theory

Abstract

Hydrodynamic transport coefficients may be evaluated from first principles in a weakly coupled scalar field theory at arbitrary temperature. In a theory with cubic and quartic interactions, the infinite class of diagrams which contribute to the leading weak coupling behavior are identified and summed. The resulting expression may be reduced to a single linear integral equation, which is shown to be identical to the corresponding result obtained from a linearized Boltzmann equation describing effective thermal excitations with temperature dependent masses and scattering amplitudes. The effective Boltzmann equation is valid even at very high temperature where the thermal lifetime and mean free path are short compared to the Compton wavelength of the fundamental particles. Numerical results for the shear and the bulk viscosities are presented.

116 pages. An error in printing the figures file is corrected. The bulk viscosity sections are corrected and entirely rewritten. 38 figures in post-script format. One style file is included

References in corpus (2)

• Resummation in a Hot Scalar Field Theory
• Computing Spectral Densities in Finite Temperature Field Theory

Cited by in corpus (290)

• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• From AdS/CFT correspondence to hydrodynamics
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• Viscosity, Black Holes, and Quantum Field Theory
• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• Effective Kinetic Theory for High Temperature Gauge Theories
• From Quantum Field Theory to Hydrodynamics: Transport Coefficients and Effective Kinetic Theory
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• The Bulk Viscosity of High-Temperature QCD
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Extraction of Heavy-Flavor Transport Coefficients in QCD Matter
• Strong Dissipative Behavior in Quantum Field Theory
• Transport Coefficients of Hadronic Matter near $T_c$
• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Controlled nonperturbative dynamics of quantum fields out of equilibrium
• Radiative energy loss and v2 spectra for viscous hydrodynamics
• Many-body chaos at weak coupling
• Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation
• Thermalization of Quantum Fields from Time-Reversal Invariant Evolution Equations
• Dynamic universality class of the QCD critical point
• Dissipation coefficients from scalar and fermion quantum field interactions
• Advances in perturbative thermal field theory
• General dissipation coefficient in low-temperature warm inflation
• Transport coefficients, spectral functions and the lattice
• Second order hydrodynamic coefficients from kinetic theory
• Hydrodynamic Fluctuations, Long-time Tails, and Supersymmetry
• Hot B violation, color conductivity, and log(1/alpha) effects
• Classical Fields Near Thermal Equilibrium
• Bulk viscosity, particle spectra and flow in heavy-ion collisions
• Quantum dynamics and thermalization for out-of-equilibrium phi^4-theory
• Perturbative Thermal QCD: Formalism and Applications
• The Hydrodynamics of M-Theory
• On the equivalence between the Boltzmann equation and classical field theory at large occupation numbers
• Kubo formulas for relativistic fluids in strong magnetic fields
• Semi-classical transport theory for non-Abelian plasmas
• A Generalized Fluctuation-Dissipation Theorem for Nonlinear Response Functions
• Axial Current Generation from Electric Field: Chiral Electric Separation Effect
• A Boltzmann Equation for the QCD Plasma
• Dark goo: Bulk viscosity as an alternative to dark energy
• Transport Coefficients in Yang--Mills Theory and QCD
• Dynamics of oscillating scalar field in thermal environment
• Shear and bulk viscosities of the gluon plasma in a quasiparticle description
• Affinity for Scalar Fields to Dissipate
• Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
• Transport coefficients and resonances for a meson gas in Chiral Perturbation Theory
• Stochastic dynamics of correlations in quantum field theory: From Schwinger-Dyson to Boltzmann-Langevin equation
• The electrical conductivity of a pion gas
• Equilibration in phi^4 theory in 3+1 dimensions
• Shear Viscosity Coefficient from Microscopic Models
• Exploring the partonic phase at finite chemical potential within an extended off-shell transport approach
• Kubo Formulae for Second-Order Hydrodynamic Coefficients
• Shear Viscosity to Entropy Density Ratio of QCD below the Deconfinement Temperature
• Leading Order Calculation of Shear Viscosity in Hot Quantum Electrodynamics from Diagrammatic Methods
• Cosmological fluctuations of a random field and radiation fluid
• Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
• Dissipation in the effective field theory for hydrodynamics: First order effects
• Shear Viscosity in the O(N) Model
• QCD Viscosity to Entropy Density Ratio in the Hadronic Phase
• Viscosity coefficients for hadron and quark-gluon phases
• Quasiparticle Theory of Transport Coefficients for Hadronic Matter at Finite Temperature and Baryon Density
• QCD Shear Viscosity at (almost) NLO
• Transport coefficients and ladder summation in hot gauge theories
• Classical Field Dynamics of the Electroweak Phase Transition
• Effective theories for real-time correlations in hot plasmas
• BCS/BEC crossover in Quark Matter and Evolution of its Static and Dynamic properties
• Bulk viscosity and the conformal anomaly in the pion gas
• Chiral electric separation effect in the quark-gluon plasma
• Dissipation and Fluctuation at the Chiral Phase Transition
• Towards a Nonequilibrium Quantum Field Theory Approach to Electroweak Baryogenesis
• Introduction to the nonequilibrium functional renormalization group
• Ratio of bulk to shear viscosity in a quasigluon plasma: from weak to strong coupling
• Moduli decay in the hot early Universe
• Transport coefficients of a hot QCD medium and their relative significance in heavy-ion collisions
• The QCD phase diagram and Beam Energy Scan physics: a theory overview
• Forming Disoriented Chiral Condensates through Fluctuations
• Small shear viscosity in the semi quark gluon plasma
• The Bulk Viscosity of a Pion Gas
• Dynamical Renormalization Group Approach to Quantum Kinetics in Scalar and Gauge Theories
• Theories of Relativistic Dissipative Fluid Dynamics
• Viscosities in the Gluon-Plasma within a Quasiparticle Model
• Relaxation and Kinetics in Scalar Field Theories
• The Plasmon in Hot ${\varphi }^4$ Theory
• Runaway potentials in warm inflation satisfying the swampland conjectures
• Coarse Grained Quantum Dynamics
• Diagrammatic approach to soft non-Abelian dynamics at high temperature
• Hydrodynamic transport functions from quantum kinetic theory
• Transport coefficients from the 2PI effective action
• Bulk Viscosity of a Gas of Massless Pions
• Instability induced pressure isotropization in a longitudinally expanding system
• Bulk viscosity and the phase transition of the linear sigma model
• Coupled kinetic equations for quarks and gluons in the relaxation time approximation
• Stability analysis for the background equations for inflation with dissipation and in a viscous radiation bath
• Leading Order Calculation of Electric Conductivity in Hot Quantum Electrodynamics from Diagrammatic Methods
• Shear Viscosity of a Hot Pion Gas
• Non-equilibrium quantum chains under multi-site Lindblad baths
• Dynamic critical phenomena from spectral functions on the lattice
• Kinetic theory for classical and quantum many-body chaos
• Bulk viscosity in a cold CFL superfluid
• Transport coefficients in large N_f gauge theories with massive fermions
• A real-time thermal field theoretical analysis of Kubo-type shear viscosity : Numerical understanding with simple examples
• Ward identity and electrical conductivity in hot QED
• Stress Tensor and Bulk Viscosity in Relativistic Nuclear Collisions
• The effect of finite-range interactions in classical transport theory
• Phase Transitions and the Perfectness of Fluids
• Shear viscosity in ${\varphi }^4$ theory from an extended ladder resummation
• Quasiparticle second-order viscous hydrodynamics from kinetic theory
• Non-Equilibrium Statistical Mechanics of Classical Lattice ${\varphi }^4$ Field Theory
• Shear Viscosity of a Gluon Plasma in Perturbative QCD
• Gravitational wave background from non-Abelian reheating after axion-like inflation
• Microscopic theory of a non-equilibrium open bosonic chain
• Decay of the de Sitter Vacuum
• Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
• Bulk Viscosity and Relaxation Time of Causal Dissipative Relativistic Fluid Dynamics
• Ultrasoft Amplitudes in Hot QCD
• Spectral function at high temperature in the classical approximation
• Nonperturbative calculation of the shear viscosity in hot phi**4 theory in real time
• Hydrodynamic tails and a fluctuation bound on the bulk viscosity
• Shear viscosity from Kubo formalism: NJL-model study
• Bulk Viscosity at Extreme Limits: From Kinetic Theory to Strings
• Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics
• Fluctuating relativistic dissipative hydrodynamics as a gauge theory
• Warm inflation dynamics in the low temperature regime
• Covariant kinetic theory for effective fugacity quasi particle model and first order transport coefficients for hot QCD matter
• Electrical conductivity of hadronic matter from different possible mesonic and baryonic thermal fluctuations
• Multiple Scattering Expansion of the Self-Energy at Finite Temperature
• Classical and Quantum Computing of Shear Viscosity for $2+1D$ SU(2) Gauge Theory
• Kubo formulae for the shear and bulk viscosity relaxation times and the scalar field theory shear ${\tau }_{\pi }$ calculation
• Shear viscosity of hot scalar field theory in the real-time formalism
• Causal Viscous Hydrodynamics for Relativistic Heavy Ion Collisions
• Nonequilibrium dynamics in the O(N) model to next-to-next-to-leading order in the 1/N expansion
• Photon emission from quark-gluon plasma out of equilibrium
• Stress-stress correlator in lambda phi^4 theory: Poles or a Cut?
• Leading Order QCD Shear Viscosity from the 3PI Effective Action
• From integrability to conductance, impurity systems
• Ultrasoft Fermionic Modes at High Temperature
• QED Electrical Conductivity using the 2PI Effective Action
• Microphysical manifestations of viscosity and consequences for anisotropies in the very early universe
• Helical massive fermions under rotation
• Upper Bound on Thermal Gravitational Wave Backgrounds from Hidden Sectors
• Spectral functions for composite fields and viscosity in hot scalar field theory
• Thermalization of non-abelian gauge theories at next-to-leading order
• Viscosity of an ideal relativistic quantum fluid: A perturbative study
• Dynamical renormalization group approach to transport in ultrarelativistic plasmas: the electrical conductivity in high temperature QED
• 2+1 dimensional hydrodynamics including bulk viscosity: a systematics study
• Transport coefficients in Chiral Perturbation Theory
• Bulk viscosity of strongly interacting matter in the relaxation time approximation
• Renormalized Linear Kinetic Theory as Derived from Quantum Field Theory - a novel diagrammatic method for computing transport coefficients -
• Transport Theory beyond Binary Collisions
• One-loop Kubo estimations of the shear and bulk viscous coefficients for hot and magnetized Bosonic and Fermionic systems
• Shear and bulk viscosities for pure glue matter
• Semiclassical Approximation meets Keldysh-Schwinger diagrammatic technique: Scalar ${\phi }^4$
• Towards a full solution of relativistic Boltzmann equation for quark-gluon matter on GPUs
• Chiral waves in quark matter
• Relativistic Causal Hydrodynamics Derived from Boltzmann Equation: a novel reduction theoretical approach
• Divergences in open quantum systems
• How Perfect a Gluon Plasma Can Be in Perturbative QCD?
• Kinetic theory of a longitudinally expanding system of scalar particles
• The universal viscosity to entropy density ratio from entanglement
• Covariant kinetic theory and transport coefficients for Gribov plasma
• Friction in inflaton equations of motion
• Shear Viscosity at Infinite Coupling: A Field Theory Calculation
• Color conductivity and ladder summation in hot QCD
• Shear Viscosity of Quark Matter
• Some Aspects of the Theory of Heavy Ion Collisions
• Shear and Bulk Viscosities of a Gluon Plasma in Perturbative QCD: Comparison of Different Treatments for the gg<->ggg Process
• Shear viscosity of the quark matter
• Second Order Transport Coefficient from Chiral Anomaly at Weak Coupling: Diagrammatic Resummation
• Shear and Bulk Viscosities of a Weakly Coupled Quark Gluon Plasma with Finite Chemical Potential and Temperature---Leading-Log Results
• Transport coefficients of O(N) scalar field theories close to the critical point
• Analytic Transport from Weak to Strong Coupling in the O(N) model
• Divergences in Real-Time Classical Field Theories at Non-Zero Temperature
• Shear viscosity, Bulk viscosity and Relaxation Times of Causal Dissipative Relativistic Fluid-Dynamics at Finite Temperature and Chemical Potential
• Reheating and turbulence
• Next-to-Leading Order Shear Viscosity in lambda phi^4 Theory
• On the thermal sunset diagram for scalar field theories
• In-medium viscous coefficients of a hot hadronic gas mixture
• Negative Off-Diagonal Conductivities in a Weakly Coupled Quark Gluon Plasma
• Analytic Properties of Finite-Temperature Self-Energies
• Transport coefficients from the lattice?
• Relativistic theories of interacting fields and fluids
• Non-universal lower bound for the shear viscosity to entropy density ratio
• Minimum Shear Viscosity over Entropy Density at Phase Transition? --- A Counterexample
• Scalar field damping at high temperatures
• Mesoscopic dynamics of fermionic cold atoms ---Quantitative analysis of transport coefficients and relaxation times---
• Ultra-soft fermionic excitation at finite chemical potential
• Bulk viscosity of the massive Gross-Neveu model
• Spectral Function of Fermion Coupled with Massive Vector Boson at Finite Temperature in Gauge Invariant Formalism
• Nonlinear Response from Transport Theory and Quantum Field Theory at Finite Temperature
• Lindblad dynamics of the quantum spherical model
• The Boltzmann Equation in Classical Yang-Mills Theory
• Quantum version of transport coefficients in Nambu--Jona-Lasinio model at finite temperature and strong magnetic field
• Shear Viscosity in a Non-Fermi Liquid Phase of a Quadratic Semimetal
• Ultrasoft fermion mode and off-diagonal Boltzmann equation in quark-gluon plasma at high temperature
• Effects of friction on the chiral symmetry restoration in high energy heavy-ion collisions
• Hydrodynamic fluctuations from a weakly coupled scalar field
• Spectral representation of the shear viscosity for local scalar QFTs at finite temperature
• The refractive index in the viscous quark-gluon plasma
• All orders Boltzmann collision term from the multiple scattering expansion of the self-energy
• Plasmon properties in classical lattice gauge theory
• Branch Cuts Due to Finite-Temperature Quasiparticles
• Transport coefficients from the Boson Uehling-Uhlenbeck Equation
• Effect of friction on disoriented chiral condensate formation
• Impact of momentum anisotropy and turbulent chromo-fields on thermal particle production in quark-gluon plasma medium
• Four-Point Spectral Functions and Ward Identities in Hot QED
• Ising-like dynamical signatures and the end-point of the QCD transition line
• Finite temperature CFT results for all couplings: O(N) model in 2+1 dimensions
• Emergent Hydrodynamic Mode on SU(2) Plaquette Chains and Quantum Simulation
• Chaos in the Fishnet
• Relaxation time ansatz and shear and bulk viscosities of gluon matter
• Specific viscosity of neutron-rich nuclear matter from a relaxation time approach
• Dissipation in equations of motion of scalar fields
• General Markovian Equation for Scalar Fields in a Slowly Evolving Background
• Remarks concerning bulk viscosity of hadron matter in relaxation time ansatz
• Bulk viscosity, interaction and the viability of phantom solutions
• Nonlinear evolution of the momentum dependent condensates in strong interaction: the ``pseudoscalar laser''
• Dynamical Evolution of the Scalar Condensate in Heavy Ion Collisions
• Hydrodynamics of Resonances
• The effect of memory on relaxation in a scalar field theory
• Production of ${\eta }^{\prime }$ from Thermal Gluon Fusion
• Viscous Leptons in the Quark Gluon Plasma
• Shear viscosity of the ${\Phi }^4$ theory from classical simulation
• Nuclear and Quark Matter at High Temperature
• Chaotic Symmetry Breaking and Dissipative Two-Field Dynamics
• Landau-Pomeranchuck-Migdal effect in a quark-gluon plasma and the Boltzmann equation
• Bubble Trouble: a Review on Electroweak Baryogenesis
• On the contribution of plasminos to the shear viscosity of a hot and dense Yukawa-Fermi gas
• Systematics of High Temperature Perturbation Theory: The Two-Loop Electron Self-Energy in QED
• Critical Viscosity of a Fluctuating Superconductor
• Nonequilibrium pion dynamics near the critical point in a constituent quark model
• Thermal conductivity of a weakly interacting Bose gas in quasi-one-dimension
• Two-loop hard thermal loops for any model
• Kinetics calculation on the shear viscosity in hot QED at finite density
• Real-Time Nucleation and Off-Equilibrium Effects in High-Temperature Quantum Field Theories
• HTL approach to the viscosity of quark plasma
• Charm contribution to bulk viscosity
• Microscopic derivation of the Boltzmann equation for transport coefficients of resonating fermions at high temperature
• Contribution of Kaon component in viscosity and conductivity of hadronic medium
• From Non-interacting to Interacting Picture of Thermodynamics and Transport Coefficients for Quark Gluon Plasma
• A Diagrammatic Interpretation of the Boltzmann Equation
• Low-mass dilepton production through transport process in quark-gluon plasma
• Viscous coefficients and thermal conductivity of a $\pi KN$ gas mixture in the medium
• Kelvin-Helmholz instability in high energy heavy ion collisions
• Shear and bulk viscosity of quark-gluon plasma with Gribov gluons and quasiparticle quarks
• Thermal Operator and Cutting Rules at Finite Temperature and Chemical Potential
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• A simple criterion for effects beyond hard thermal loops
• Hot QED beyond ladder graphs
• X(3872) as a D-D* molecule bound by quark exchange forces
• Bulk viscosity of resonantly interacting fermions in the quantum virial expansion
• Fate of homogeneous ${\mathbb{Z}}_2$-symmetric scalar condensates
• Quasiparticle excitations in relativistic quantum field theory
• Nonequilibrium perturbation theory for spin-1/2 fields
• Shear viscosity over entropy density ratio with extended quasi-particles
• Bulk Viscosity of Hot Quark Plasma from Non-Equilibrium Statistical Operator
• A consistent nonperturbative approach to thermal damping-rates
• Oscillatory behavior of the in-medium interparticle potential in hot gauge system with scalar bound states
• A Possible Mechanism for the Low Shear Viscosity in the QGP Created by RHIC
• Off-diagonal kinetic theory in ultrasoft momentum region at high temperature
• Relativistic fluid dynamics in heavy ion collisions
• Shear Viscosity in Weakly Coupled N-Component Scalar Field Theories
• Geometrisation of Ohm's reciprocity relation in a holographic plasma
• Effect of chiral imbalance on the electrical conductivity of hot and dense quark matter using Green-Kubo Method within the 2-flavour gauged NJL model
• Phase space analysis of a FRW cosmology in the Maxwell$-$Cattaneo approach
• Shear viscosity in QCD and why it's hard to calculate
• Viscosities of the quasigluon plasma
• Analytical formulas for shear and bulk viscosities in relativistic gaseous mixtures with constant cross sections
• Vortical waves in a quantum fluid with vector, axial and helical charges. II. Dissipative effects
• Electromagnetic fields and transport coefficients in a hot pion gas
• Quasiparticle Cosmology
• Microscopic identification of dissipative modes in relativistic field theories
• Wilsonian renormalisation group and thermal field theory in the Schwinger-Keldysh closed-time-path formalism
• Non-Equilibrium 2PI Potential and Its Possible Application to Evaluation of Bulk Viscosity
• Universal thermalization dynamics in (1+1)d QFTs
• Effective field theory description of horizon-fluid determines the scrambling time
• Transport coefficients of a massive pion gas
• Transport Coefficients and Analytic Continuation in Dual 1+1 Dimensional Models at Finite Temperature
• Electronic properties of the boson mode in a three-point fermion loop and the emergent SYK physics
• Shear and bulk viscosities of the gluon plasma across the transition temperature from lattice QCD
• Accelerating Universe with binary mixture of bulk viscous fluid and dark energy
• Microscopic Model building for Black Hole Membranes from Constraints of Symmetry
• Shear Viscosity of hadronic matter at finite temperature and magnetic field
• On the contribution of plasminos to the shear viscosity of a hot and dense Yukawa-Fermi gas
• Quantum field theoretical structure of electrical conductivity of cold and dense fermionic matter in the presence of a magnetic field
• Electrical conductivity of hot Abelian plasma with scalar charge carriers
• Thermoelectric coefficients of two-flavor quark matter from the Kubo formalism
• Shear Viscosity of Yang-Mills Theory in the Confinement Phase
• The spectrum of tensor perturbations in warm inflation
• The shear and bulk relaxation times from the general correlation functions
• Some Applications of Hard Thermal Loop Perturbation Theory in Quark Gluon Plasma