Looking for defects in the 2PI correlator

Abstract

Truncations of the 2PI effective action are seen as a promising way of studying non-equilibrium dynamics in quantum field theories. We probe their applicability in the non-perturbative setting of topological defect formation in a symmetry-breaking phase transition, by comparing full classical lattice field simulations and the 2PI formulation for classical fields in an O($N$) symmetric scalar field theory. At next-to-leading order in 1/N, the 2PI formalism fails to reproduce any signals of defects in the two-point function. This suggests that one should be careful when applying the 2PI formalism for symmetry breaking phase transitions.

22 pages, 6 figures

References in corpus (14)

• Nonperturbative renormalization for 2PI effective action techniques
• Quantum dynamics and thermalization for out-of-equilibrium phi^4-theory
• Thermalization of fermionic quantum fields
• Tachyonic preheating using 2PI-1/N dynamics and the classical approximation
• Renormalization of Φ-derivable approximations in scalar field theories
• Equilibration in phi^4 theory in 3+1 dimensions
• Shear Viscosity in the O(N) Model
• Renormalizability of Phi-derivable approximations in scalar phi^4 theory
• Chern-Simons number asymmetry from CP violation at electroweak tachyonic preheating
• Transport coefficients from the 2PI effective action
• Transport coefficients in large N_f gauge theories with massive fermions
• Critical phenomena from the two-particle irreducible 1/N expansion
• Domain Formation: Decided Before, or After the Transition?
• Nonequilibrium dynamics in the O(N) model to next-to-next-to-leading order in the 1/N expansion

Cited by in corpus (19)

• Low-cost fermions in classical field simulations
• Nonthermal fixed points and solitons in a one-dimensional Bose gas
• O(N) symmetry-breaking quantum quench: Topological defects versus quasiparticles
• 2PI functional techniques for gauge theories: QED
• Universal scaling of unequal-time correlation functions in ultracold Bose gases far from equilibrium
• Semiclassical decay of topological defects
• Broken phase scalar effective potential and Phi-derivable approximations
• Non-equilibrium Quantum Spin Dynamics from 2PI Functional Integral Techniques in the Schwinger Boson Representation
• Topological defect formation from 2PI effective action techniques
• Thermal effects on slow-roll dynamics
• Effective convergence of the 2PI-1/N expansion for nonequilibrium quantum fields
• Universal late-time dynamics in isolated one-dimensional statistical systems with topological excitations
• A critical look at the role of the bare parameters in the renormalization of Phi-derivable approximations
• Counting defects with the two-point correlator
• Super-horizon cosmic string correlations
• Topological Defects in Quantum Field Theory with Matrix Product States
• The Kibble Zurek Mechanism of Topological Defect Formation in Quantum Field Theory with Matrix Product States
• 2PI simulations in expanding backgrounds: Doing it anyway!
• Bubble nucleation and quantum initial conditions in classical statistical simulations