Critical phenomena from the two-particle irreducible 1/N expansion

Abstract

The 1/N expansion of the two-particle irreducible (2PI) effective action is employed to compute universal properties at the second-order phase transition of an O(N)-symmetric N-vector model directly in three dimensions. At next-to-leading order the approach cures the spurious small-N divergence of the standard (1PI) 1/N expansion for a computation of the critical anomalous dimension eta(N), and leads to improved estimates already for moderate values of N.

18 pages, 3 figures

References in corpus (7)

• Quantum Field Theory in the Large N Limit: a review
• Parametric resonance in quantum field theory
• n-Particle irreducible effective action techniques for gauge theories
• Thermalization of fermionic quantum fields
• Shear Viscosity in the O(N) Model
• Quantum dynamics of phase transitions in broken symmetry $\lambda {\varphi }^4$ field theory
• Transport coefficients from the 2PI effective action

Cited by in corpus (27)

• Nonperturbative renormalization for 2PI effective action techniques
• Nonthermal fixed points and the functional renormalization group
• Universal self-similar dynamics of relativistic and nonrelativistic field theories near nonthermal fixed points
• Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
• Renormalized thermodynamics from the 2PI effective action
• Nonperturbative dynamical many-body theory of a Bose-Einstein condensate
• Pion and Kaon Condensation at Finite Temperature and Density
• Far-from-equilibrium quantum many-body dynamics
• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
• Nonthermal Fixed Points in Quantum Field Theory Beyond the Weak-Coupling Limit
• The 2PI effective theory at next-to-leading order using the functional renormalization group
• 2PI functional techniques for gauge theories: QED
• Progress in nonequilibrium quantum field theory III
• The 2PI effective action at four loop order in ${\phi }^4$ theory
• The Quark Propagator in the NJL Model in a self-consistent 1/Nc Expansion
• Looking for defects in the 2PI correlator
• Broken phase effective potential in the two-loop Phi-derivable approximation and nature of the phase transition in a scalar theory
• Non-equilibrium Quantum Spin Dynamics from 2PI Functional Integral Techniques in the Schwinger Boson Representation
• Topological defect formation from 2PI effective action techniques
• The O(N)-model within the Phi-derivable expansion to order lambda^2: on the existence, UV and IR sensitivity of the solutions to self-consistent equations
• Selfconsistent approximations, symmetries and choice of representation
• Non-equilibrium dynamics of a Bose-Einstein condensate in an optical lattice
• Spontaneous versus explicit replica symmetry breaking in the theory of disordered systems
• Critical exponents from two-particle irreducible 1/N expansion
• Ultracold atomic quantum gases far from equilibrium
• nPI Resummation in 3D SU(N) Higgs Theory
• Microscopic identification of dissipative modes in relativistic field theories