Quantum dynamics of Phi**4 field theory beyond leading order in 1+1 dimensions

Abstract

We consider the out-of-equilibrium evolution of a classical condensate field $\varphi =<\Phi >$ and its quantum fluctuations for a ${\Phi }^4$ model in 1+1 dimensions with a double well potential. We use the two-particle point-irreducible (2PPI) formalism in the two-loop approximation. We compare our results to those obtained in the Hartree approximation, in the bare vertex approximation (BVA) and in the two-particle irreducible next-to-leading order large-N (2PI-1/N) approach, with thermal initial conditions. In the 2PPI scheme we find that the system tends to the symmetric configuration at late times, as expected in the absence of spontaneous symmetry breaking.

4 pages, 8 encapsulated postscript figures

References in corpus (4)

• Quantum dynamics of phase transitions in broken symmetry $\lambda {\varphi }^4$ field theory
• The O(N) linear sigma model at finite temperature beyond the Hartree approximation
• Nonequilibrium evolution of Phi**4 theory in 1+1 dimensions in the 2PPI formalism
• Real-time dynamics of the O(N) model in 1+1 dimensions

Cited by in corpus (10)

• n-Particle irreducible effective action techniques for gauge theories
• Renormalized thermodynamics from the 2PI effective action
• Shear Viscosity in the O(N) Model
• The approach to thermalization in the classical phi^4 theory in 1+1 dimensions: energy cascades and universal scaling
• Gapless Hartree-Fock Resummation Scheme for the O(N) Model
• Renormalizing the Schwinger-Dyson equations in the auxiliary field formulation of $\lambda {\varphi }^4$ field theory
• Out-of-equilibrium evolution of quantum fields in the hybrid model with quantum back reaction
• The effect of memory on relaxation in a scalar field theory
• The 2PI finite temperature effective potential of the O(N) linear sigma model in 1+1 dimensions, at next-to-leading order in 1/N
• Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory