Shear Viscosity in the O(N) Model

We compute the shear viscosity in the O(N) model at first nontrivial order in the large N expansion. The calculation is organized using the 1/N expansion of the 2PI effective action (2PI-1/N expansion) to next-to-leading order, which leads to an integral equation summing ladder and bubble diagrams. We also consider the weakly coupled theory for arbitrary N, using the three-loop expansion of the 2PI effective action. In the limit of weak coupling and vanishing mass, we find an approximate analytical solution of the integral equation. For general coupling and mass, the integral equation is solved numerically using a variational approach. The shear viscosity turns out to be close to the result obtained in the weak-coupling analysis.

• Publication year

  2004

• Venue

  Journal of High Energy Physics

• Publication date

  2004-02-18

• Fields of study

  Physics

• Identifiers
  DOI 10.1088/1126-6708/2004/02/061arXiv hep-ph/0402192
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• N-PI effective action techniques for gauge theories

  2004cited by this paper
• Viscosity of meson matter

  2004cited by this paper
• Effect of memory on relaxation in a scalar field theory

  2004cited by this paper
• Nonequilibrium Quantum-Field Dynamics and Off-Shell Transport for $φ^4$-theory in 2+1 dimensions

  2004cited by this paper
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii

  2003cited by this paper
• The electrical conductivity and soft photon emissivity of the QCD plasma

  2003cited by this paper
• Hydrodynamic description of ultrarelativistic heavy ion collisions

  2003cited by this paper
• Quantum dynamics of Φ 4 field theory beyond leading order in 1 + 1 dimensions

  2003cited by this paper
• Viscosity of meson matter

  2003cited by this paper
• Holography and hydrodynamics: Diffusion on stretched horizons

  2003cited by this paper
• Out-of-equilibrium quantum fields with conserved charge

  2003cited by this paper
• Renormalization of Φ-derivable approximations in scalar field theories

  2003cited by this paper
• Shear viscosity coefficient from microscopic models

  2003cited by this paper
• Quantum dynamics and thermalization for out-of-equilibrium phi^4-theory

  2003cited by this paper
• Correlation entropy of an interacting quantum field and H theorem for the O ( N ) model

  2003cited by this paper
• Transport coefficients in high temperature gauge theories. 2. Beyond leading log

  2003influential reference
• Renormalizability of -derivable approximations in scalar ' 4 theory

  2003cited by this paper
• Real-time dynamics of the O(N) model in 1+1 dimensions

  2003cited by this paper
• Transport coefficients from the two particle irreducible effective action

  2003cited by this paper
• Transport coefficients from the lattice

  2002cited by this paper
• Ward identity and electrical conductivity in hot QED

  2002cited by this paper
• From AdS/CFT correspondence to hydrodynamics

  2002cited by this paper
• Transport coefficients, spectral functions and the lattice

  2002cited by this paper
• Thermalization of fermionic quantum fields

  2002cited by this paper
• Parametric resonance in quantum field theory.

  2002cited by this paper
• Quantum dynamics of phase transitions in broken symmetry lambda phi**4 field theory

  2002cited by this paper
• Far-from-equilibrium dynamics with broken symmetries from the 1/N expansion of the 2PI effective action

  2002cited by this paper
• Dynamics of broken symmetry lambda phi**4 field theory

  2002cited by this paper
• Transport coefficients and ladder summation in hot gauge theories

  2002influential reference
• Dynamical renormalization group approach to transport in ultrarelativistic plasmas: the electrical conductivity in high temperature QED

  2002cited by this paper
• Effective kinetic theory for high temperature gauge theories

  2002cited by this paper
• Shear viscosity of hot scalar field theory in the real-time formalism

  2002cited by this paper
• Nonequilibrium evolution ofΦ4theory in1+1dimensions in the two-particle point-irreducible formalism

  2002cited by this paper
• Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma.

  2001cited by this paper
• Controlled nonperturbative dynamics of quantum fields out-of-equilibrium

  2001cited by this paper
• Anisotropic lattice and its application to quark gluon plasma

  2001cited by this paper
• Renormalization of self-consistent approximation schemes at finite temperature. II. Applications to the sunset diagram

  2001cited by this paper
• Classical aspects of quantum fields far from equilibrium.

  2001cited by this paper
• Renormalization of Self-consistent Approximation schemes II: Applications to the sunset diagram

  2001cited by this paper
• Renormalization in self-consistent approximation schemes at finite temperature: Theory

  2001cited by this paper
• Nonequilibrium time evolution of the spectral function in quantum field theory

  2001cited by this paper
• Transport coefficients in large N f gauge theory: testing hard thermal loops

  2001influential reference
• Thermalization of quantum fields from time-reversal invariant evolution equations

  2000cited by this paper
• Transport coefficients in high temperature gauge theories (I): leading-log results

  2000influential reference
• Resumming the large-N approximation for time evolving quantum systems

  2000cited by this paper
• Hydrodynamic transport functions from quantum kinetic field theory

  1999cited by this paper
• Hydrodynamic transport coefficients in relativistic scalar field theory.

  1994influential reference
• Thermal Green's functions and transport coefficients on the lattice.

  1987cited by this paper
• Quark-Gluon Plasma

  1986cited by this paper
• Effective Action for Composite Operators

  1974influential reference
• Self-Consistent Approximations in Many-Body Systems

  1962cited by this paper
• Ground-State Energy of a Many-Fermion System. II

  1960influential reference

• Coupling renormalization flow in the strongly interacting regime of an asymptotically free quantum field theory in four dimensions

  2024cites this paper
• Bulk viscosity of rotating, hot and dense spin 1/2 fermionic systems from correlation functions

  2023cites this paper
• Determining all thermodynamic transport coefficients for an interacting large N quantum field theory

  2022cites this paper
• Shear Viscosity at Infinite Coupling: A Field Theory Calculation.

  2021cites this paper
• Functional renormalization group and 2PI effective action formalism

  2021cites this paper
• Spectral representation of the shear viscosity for local scalar QFTs at finite temperature

  2021cites this paper
• Perturbative thermal QCD: Formalism and applications

  2020cites this paper
• Many-body chaos near a thermal phase transition

  2019cites this paper
• Hydrodynamics and the quantum butterfly effect in black holes and large N quantum field theories

  2019cites this paper
• Renormalization of the 4PI effective action using the functional renormalization group

  2019cites this paper
• QCD shear viscosity at (almost) NLO

  2018cites this paper
• 2PI effective theory at next-to-leading order using the functional renormalization group

  2017cites this paper
• Statistical and Thermodynamical Studies of the Strongly Interacting Matter

  2016cites this paper
• Nuclear and quark matter at high temperature

  2016cites this paper
• A dynamical quasiparticle approach for the QGP bulk and transport properties

  2016cites this paper
• Techniques for calculations with nPI effective actions

  2015cites this paper
• Linear Sigma Model and Phase Transitions

  2014cites this paper
• Microscopic identification of dissipative modes in relativistic field theories

  2013cites this paper
• UvA-DARE ( Digital Academic Repository ) Holography out of equilibrium

  2013cites this paper
• Transport coefficients from field theory and FAIR physics

  2013cites this paper
• 2PI effective action and evolution equations of N = 4 super Yang–Mills

  2012cites this paper
• Hadronic Transport Coefficients from Effective Field Theories

  2012cites this paper
• A new resummation scheme in scalar field theories

  2012cites this paper
• Results from the 4PI effective action in 2- and 3-dimensions

  2012cites this paper
• Shear viscosity of a hot pion gas

  2012cites this paper
• Transport coefficients of strongly interacting matter

  2011cites this paper
• 2PI effective action and evolution equations of $\mathcal{N} = 4$ super Yang–Mills

  2011cites this paper
• Shear viscous effects on the primordial power spectrum from warm inflation

  2011cites this paper
• Ultrasoft fermionic modes at high temperature

  2011cites this paper
• Bulk viscosity of the massive Gross-Neveu model

  2010cites this paper
• Topological defect formation from 2PI effective action techniques

  2010cites this paper
• Minimum shear viscosity over entropy density at phase transition?—A counterexample

  2010cites this paper
• 2PI functional techniques for gauge theories: QED

  2009cites this paper
• Minimum of η/s and the phase transition of the linear sigma model in the large-N limit

  2009cites this paper
• Small shear viscosity in the semiquark gluon plasma

  2009cites this paper
• Parton transport and hadronization from the dynamical quasiparticle point of view

  2008cites this paper
• Phase transitions and perfectness of fluids in weakly coupled real scalar field theories

  2007cites this paper
• Ward Identities for the 2PI effective action in QED

  2007cites this paper
• Leading order calculation of shear viscosity in hot quantum electrodynamics from diagrammatic methods

  2007cites this paper
• Looking for defects in the 2PI correlator

  2006cites this paper
• Transport coefficients from the 2PI effective action: weak coupling and large N analysis

  2006cites this paper
• Looking for defects in the 2 PI correlator

  2006cites this paper
• 2PI effective action for gauge theories: Renormalization

  2006cites this paper
• Kinetics calculation on the shear viscosity in hot QEDat finite density

  2005cites this paper
• Non-perturbative renormalization of Φ-derivable approximations in theories with fermions

  2005cites this paper
• Transport coefficients in large Nf gauge theories with massive fermions

  2005influential citation
• Critical phenomena from the two-particle irreducible 1/N expansion

  2004cites this paper
• Out-of-equilibrium electromagnetic radiation

  2003cites this paper