From quantum to classical dynamics: The relativistic O ( N ) model in the framework of the real-time functional renormalization group

Mesterházy, D.; Stockemer, J. H.; Tanizaki, Y.

doi:10.1103/PhysRevD.92.076001

Title: From quantum to classical dynamics: The relativistic $O (N)$ model in the framework of the real-time functional renormalization group

Authors:: Mesterházy, D.; Stockemer, J. H.; Tanizaki, Y.

Publication Date:: Tue Oct 06 00:00:00 EDT 2015

Sponsoring Org.:: USDOE

OSTI Identifier:: 1223030

Grant/Contract Number:: FG0201ER41195

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 92 Journal Issue: 7; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Mesterházy, D., Stockemer, J. H., and Tanizaki, Y. From quantum to classical dynamics: The relativistic O ( N ) model in the framework of the real-time functional renormalization group.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevD.92.076001.

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                    Mesterházy, D., Stockemer, J. H., & Tanizaki, Y. From quantum to classical dynamics: The relativistic O ( N ) model in the framework of the real-time functional renormalization group.  United States.  https://doi.org/10.1103/PhysRevD.92.076001

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                    Mesterházy, D., Stockemer, J. H., and Tanizaki, Y. Tue .  
"From quantum to classical dynamics: The relativistic O ( N ) model in the framework of the real-time functional renormalization group".  United States.  https://doi.org/10.1103/PhysRevD.92.076001.

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@article{osti_1223030,

  title        = {From quantum to classical dynamics: The relativistic O ( N ) model in the framework of the real-time functional renormalization group},

  author       = {Mesterházy, D. and Stockemer, J. H. and Tanizaki, Y.},

  abstractNote = {},

  doi          = {10.1103/PhysRevD.92.076001},

  journal      = {Physical Review D},

  number       = 7,

  volume       = 92,

  place        = {United States},

  year         = {Tue Oct 06 00:00:00 EDT 2015},

  month        = {Tue Oct 06 00:00:00 EDT 2015}

}

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Title: From quantum to classical dynamics: The relativistic O ( N ) model in the framework of the real-time functional renormalization group

Citation Formats

Field-theory renormalization and critical dynamics above T c : Helium, antiferromagnets, and liquid-gas systems journal, July 1978

Derivative expansion and renormalisation group flows journal, November 2001

Nonperturbative renormalization group approach to the Ising model: A derivative expansion at order ∂ 4 journal, August 2003

Quantum Monte Carlo simulations and maximum entropy: Dynamics from imaginary-time data journal, September 1991

Dynamic critical phenomena at a holographic critical point journal, December 2011

Nonperturbative Renormalization Group for the Kardar-Parisi-Zhang Equation journal, April 2010

Kardar-Parisi-Zhang equation with spatially correlated noise: A unified picture from nonperturbative renormalization group journal, February 2014

Theory of Many-Particle Systems. I journal, September 1959

Conservation Laws and Correlation Functions journal, October 1961

Anomalous scaling at nonthermal fixed points of Burgers' and Gross-Pitaevskii turbulence journal, August 2015

25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple-cubic lattice journal, June 2002

The theory of equilibrium critical phenomena journal, July 1967

Transport coefficients of O ( N ) scalar field theories close to the critical point journal, May 2012

Critical exponents from the effective average action journal, July 1994

Finite-temperature quantum field theory in Minkowski space journal, January 1984

Transient fluctuation relations for time-dependent particle transport journal, September 2010

Replica symmetry breaking and the nature of the spin glass phase journal, January 1984

Generalized fluctuation-dissipation theorem for nonlinear response functions journal, July 2002

Holographic thermalization journal, July 2011

Nonperturbative renormalization group for the stationary Kardar-Parisi-Zhang equation: Scaling functions and amplitude ratios in 1+1, 2+1, and 3+1 dimensions journal, November 2012

Controlled nonperturbative dynamics of quantum fields out of equilibrium journal, March 2002

Time-reversal Symmetry Relations for Fluctuating Currents in Nonequilibrium Systems journal, January 2013

Real- and imaginary-time field theory at finite temperature and density journal, January 1987

Aspects of the functional renormalisation group journal, December 2007

Nonequilibrium quantum fields: Closed-time-path effective action, Wigner function, and Boltzmann equation journal, May 1988

Solutions of renormalization-group flow equations with full momentum dependence journal, September 2009

Nonequilibrium functional renormalization for driven-dissipative Bose-Einstein condensation journal, April 2014

Critical phenomena and renormalization-group theory journal, October 2002

Dynamical renormalization group approach to relaxation in quantum field theory journal, October 2003

Derivative expansion of the renormalization group in O(N) scalar field theory journal, January 1998

Introduction to the nonequilibrium functional renormalization group journal, July 2012

Remarks on the chiral phase transition in chromodynamics journal, January 1984

A New Approach to Quantum-Statistical Mechanics journal, October 1955

Bose-Einstein condensation in the alkali gases: Some fundamental concepts journal, April 2001

Critical exponents from optimised renormalisation group flows journal, June 2002

Self-Consistent Approximations in Many-Body Systems journal, August 1962

Quantum dynamics and thermalization for out-of-equilibrium φ 4 theory journal, January 2004

Formation of Topological Defects in Gauge Field Theories journal, January 2002

Non-perturbative renormalization flow in quantum field theory and statistical physics journal, June 2002

Signatures of the Tricritical Point in QCD journal, November 1998

Exact evolution equation for the effective potential journal, February 1993

Equilibrium and nonequilibrium formalisms made unified journal, February 1985

Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models journal, November 1966

QCD Phase Diagram and the Critical Point journal, January 2004

Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data journal, May 1996

Event-by-event fluctuations in heavy ion collisions and the QCD critical point journal, November 1999

Optimisation of the exact renormalisation group journal, July 2000

Dynamic critical phenomena from spectral functions on the lattice journal, June 2010

Far-from-equilibrium quantum many-body dynamics journal, September 2010

Order Parameter for Spin-Glasses journal, June 1983

Poisson brackets in condensed matter physics journal, March 1980

Nonperturbative renormalization group and momentum dependence of n -point functions. I journal, November 2006

Higgs amplitude mode in the vicinity of a ( 2 + 1 ) -dimensional quantum critical point journal, May 2014

Quantum Phase Transitions book, January 2011

A non-perturbative approach to critical dynamics journal, February 2007

Nonequilibrium functional renormalization group with frequency-dependent vertex function: A study of the single-impurity Anderson model journal, May 2010

Towards far-from-equilibrium quantum field dynamics: A functional renormalisation-group approach journal, December 2008

Field Theory of Non-Equilibrium Systems book, January 2011

The fluctuation-dissipation theorem journal, January 1966

Symmetry behavior at finite temperature journal, June 1974

Irreversibility and Generalized Noise journal, July 1951

Quantum Field Theory and Critical Phenomena (4th Edition) book, June 2002

Theory of dynamic critical phenomena journal, July 1977

Critical phenomena in SYM plasma journal, December 2010

Critical Exponents aboveTctoO(1n) journal, June 1973

Exact renormalization group equations: an introductory review journal, July 2001

Closed-time-path functional formalism in curved spacetime: Application to cosmological back-reaction problems journal, January 1987

Slowing out of equilibrium near the QCD critical point journal, April 2000

Renormalization Group Equation for Critical Phenomena journal, July 1973

Field-theoretic approach to second-order phase transitions in two- and three-dimensional systems journal, July 1980

Fundamentals of the exact renormalization group journal, February 2012

Feynman-Graph Expansion for Critical Exponents journal, February 1972

The Exact Renormalization Group and Approximate Solutions journal, June 1994

Ising exponents from the functional renormalization group journal, April 2011

Derivative expansion of the exact renormalization group journal, June 1994

Nonthermal fixed points and the functional renormalization group journal, June 2009

The average action for scalar fields near phase transitions journal, September 1993

Static and dynamic critical phenomena at a second order QCD phase transition journal, July 1993

Title: From quantum to classical dynamics: The relativistic $O (N)$ model in the framework of the real-time functional renormalization group

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Derivative expansion and renormalisation group flows
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Nonperturbative renormalization group approach to the Ising model: A derivative expansion at order $\partial^{4}$
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Quantum Monte Carlo simulations and maximum entropy: Dynamics from imaginary-time data
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Dynamic critical phenomena at a holographic critical point
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Nonperturbative Renormalization Group for the Kardar-Parisi-Zhang Equation
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Kardar-Parisi-Zhang equation with spatially correlated noise: A unified picture from nonperturbative renormalization group
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Theory of Many-Particle Systems. I
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Conservation Laws and Correlation Functions
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Anomalous scaling at nonthermal fixed points of Burgers' and Gross-Pitaevskii turbulence
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25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple-cubic lattice
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The theory of equilibrium critical phenomena
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Transport coefficients of $O (N)$ scalar field theories close to the critical point
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Critical exponents from the effective average action
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Finite-temperature quantum field theory in Minkowski space
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Transient fluctuation relations for time-dependent particle transport
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Replica symmetry breaking and the nature of the spin glass phase
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Generalized fluctuation-dissipation theorem for nonlinear response functions
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Holographic thermalization
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Nonperturbative renormalization group for the stationary Kardar-Parisi-Zhang equation: Scaling functions and amplitude ratios in 1+1, 2+1, and 3+1 dimensions
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Controlled nonperturbative dynamics of quantum fields out of equilibrium
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Time-reversal Symmetry Relations for Fluctuating Currents in Nonequilibrium Systems
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Real- and imaginary-time field theory at finite temperature and density
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Aspects of the functional renormalisation group
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Nonequilibrium quantum fields: Closed-time-path effective action, Wigner function, and Boltzmann equation
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Solutions of renormalization-group flow equations with full momentum dependence
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Nonequilibrium functional renormalization for driven-dissipative Bose-Einstein condensation
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Critical phenomena and renormalization-group theory
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Dynamical renormalization group approach to relaxation in quantum field theory
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Derivative expansion of the renormalization group in O(N) scalar field theory
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Introduction to the nonequilibrium functional renormalization group
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Remarks on the chiral phase transition in chromodynamics
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A New Approach to Quantum-Statistical Mechanics
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Bose-Einstein condensation in the alkali gases: Some fundamental concepts
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Critical exponents from optimised renormalisation group flows
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Self-Consistent Approximations in Many-Body Systems
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Quantum dynamics and thermalization for out-of-equilibrium $φ^{4}$ theory
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Formation of Topological Defects in Gauge Field Theories
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Non-perturbative renormalization flow in quantum field theory and statistical physics
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Signatures of the Tricritical Point in QCD
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Exact evolution equation for the effective potential
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Equilibrium and nonequilibrium formalisms made unified
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Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
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QCD Phase Diagram and the Critical Point
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Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
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Event-by-event fluctuations in heavy ion collisions and the QCD critical point
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Optimisation of the exact renormalisation group
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Dynamic critical phenomena from spectral functions on the lattice
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Order Parameter for Spin-Glasses
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Poisson brackets in condensed matter physics
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Nonperturbative renormalization group and momentum dependence of $n$ -point functions. I
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Higgs amplitude mode in the vicinity of a $(2 + 1)$ -dimensional quantum critical point
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Quantum Phase Transitions
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A non-perturbative approach to critical dynamics
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Nonequilibrium functional renormalization group with frequency-dependent vertex function: A study of the single-impurity Anderson model
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Towards far-from-equilibrium quantum field dynamics: A functional renormalisation-group approach
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Field Theory of Non-Equilibrium Systems
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The fluctuation-dissipation theorem
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Symmetry behavior at finite temperature
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Irreversibility and Generalized Noise
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Quantum Field Theory and Critical Phenomena (4th Edition)
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Theory of dynamic critical phenomena
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Critical phenomena in SYM plasma
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Critical Exponents aboveTctoO(1n)
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Exact renormalization group equations: an introductory review
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Closed-time-path functional formalism in curved spacetime: Application to cosmological back-reaction problems
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Slowing out of equilibrium near the QCD critical point
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Renormalization Group Equation for Critical Phenomena
journal, July 1973

Field-theoretic approach to second-order phase transitions in two- and three-dimensional systems
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Fundamentals of the exact renormalization group
journal, February 2012

Feynman-Graph Expansion for Critical Exponents
journal, February 1972

The Exact Renormalization Group and Approximate Solutions
journal, June 1994

Ising exponents from the functional renormalization group
journal, April 2011

Derivative expansion of the exact renormalization group
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Nonthermal fixed points and the functional renormalization group
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The average action for scalar fields near phase transitions
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Static and dynamic critical phenomena at a second order QCD phase transition
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Thermalization of quantum fields from time-reversal invariant evolution equations
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