Dynamics of broken symmetry lambda phi^4 field theory

Abstract

We study the domain of validity of a Schwinger-Dyson (SD) approach to non-equilibrium dynamics when there is broken symmetry. We perform exact numerical simulations of the one- and two-point functions of lambda phi^4 field theory in 1+1 dimensions in the classical domain for initial conditions where < phi(x) > not equal to 0. We compare these results to two self-consistent truncations of the SD equations which ignore three-point vertex function corrections. The first approximation, which sets the three-point function to one (the bare vertex approximation (BVA)) gives an excellent description for < phi(x) > = phi(t). The second approximation which ignores higher in 1/N corrections to the 2-PI generating functional (2PI -1/N expansion) is not as accurate for phi(t). Both approximations have serious deficiencies in describing the two-point function when phi(0) > .4.

10 pages, 6 figures

References in corpus (6)

• Far-from-equilibrium dynamics with broken symmetries from the 2PI-1/N expansion
• Classical aspects of quantum fields far from equilibrium
• Quantum dynamics of phase transitions in broken symmetry $\lambda {\varphi }^4$ field theory
• Classical Limit of Time-Dependent Quantum Field Theory-a Schwinger-Dyson Approach
• Parallel algorithm with spectral convergence for nonlinear integro-differential equations
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• An O(N) symmetric extension of the Sine-Gordon Equation
• Quantum dynamics of Phi**4 field theory beyond leading order in 1+1 dimensions
• Supersymmetric approximations to the 3D supersymmetric O(N) model
• Stochastic ${\varphi }^4-$Theory in the Strong Coupling Limit