Dynamic critical phenomena from spectral functions on the lattice

Abstract

We investigate spectral functions in the vicinity of the critical temperature of a second-order phase transition. Since critical phenomena in quantum field theories are governed by classical dynamics, universal properties can be computed using real-time lattice simulations. For the example of a relativistic single-component scalar field theory in 2+1 dimensions, we compute the spectral function described by universal scaling functions and extract the dynamic critical exponent z. Together with exactly known static properties of this theory, we obtain a verification from first principles that the relativistic theory is well described by the dynamic universality class of relaxational models with conserved density (Model C).

18 pages, 6 figures, NPB version, minor changes

References in corpus (7)

• Quarkonium correlators and spectral functions at zero and finite temperature
• Charmonium at high temperature in two-flavor QCD
• Dynamic universality class of the QCD critical point
• Lattice simulations of real-time quantum fields
• Real-time gauge theory simulations from stochastic quantization with optimized updating
• Instability-induced fermion production in quantum field theory
• Proper heavy-quark potential from a spectral decomposition of the thermal Wilson loop

Cited by in corpus (28)

• Basin of attraction for turbulent thermalization and the range of validity of classical-statistical simulations
• Universal off-equilibrium scaling of critical cumulants in the QCD phase diagram
• Spectral functions in the ${\varphi }^4$-theory from the spectral DSE
• Spectral functions and critical dynamics of the $O(4)$ model from classical-statistical lattice simulations
• Spectral functions and dynamic critical behavior of relativistic $Z_2$ theories
• Dynamics of the $O(4)$ critical point in QCD
• From quantum to classical dynamics: The relativistic $O(N)$ model in the framework of the real-time functional renormalization group
• Off-equilibrium infrared structure of self-interacting scalar fields: Universal scaling, Vortex-antivortex superfluid dynamics and Bose-Einstein condensation
• Spectral functions from the real-time functional renormalization group
• Dynamic universality class of Model C from the functional renormalization group
• Real-time methods for spectral functions
• Simulations of stochastic fluid dynamics near a critical point in the phase diagram
• Critical dynamics of relativistic diffusion
• Unraveling the nature of universal dynamics in $O(N)$ theories
• Fluctuating vector mesons in analytically continued FRG flow equations
• Transport coefficients of O(N) scalar field theories close to the critical point
• Self-consistent $O(4)$ model spectral functions from analytically continued FRG flows
• Many-body chaos near a thermal phase transition
• Dissipation dynamics of a scalar field
• Shear viscosity of the ${\Phi }^4$ theory from classical simulation
• Thermal critical dynamics from equilibrium quantum fluctuations
• N-particle irreducible actions for stochastic fluids
• Critical exponents from two-particle irreducible 1/N expansion
• Many-body chaos and anomalous diffusion across thermal phase transitions in two dimensions
• Nonperturbative treatment of a quenched Langevin field theory
• Enhancement of photon emission rate near QCD critical point
• Microscopic identification of dissipative modes in relativistic field theories
• Phase diagram of Model C in the parametric space of order parameter and space dimensions