1997/11/30 by Takanori Sugihara · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Boundary value problem #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Discretization #Effective action #Ground state #Hamiltonian (control theory) #Lambda #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum mechanics #Wave function #hep-th
paper · pdf · doi:10.1103/physrevd.57.7373
published as Phys.Rev. D57 (1998) 7373-7382 · 26 pages, REVTeX, 7 postscript figures, typos corrected and two references added
arxiv created 1998/02/19 · openalex publication_date 1998/06/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An indication of spontaneous symmetry breaking is found in the two-dimensional \ensuremathλ\ensuremathφ4 model, where attention is paid to the functional form of an effective action. An effective energy, which is an effective action for a static field, is obtained as a functional of the classical field from the ground state of the Hamiltonian H[J] interacting with a constant external field. The energy and wave function of the ground state are calculated in terms of DLCQ (discretized light-cone quantization) under antiperiodic boundary conditions. A field configuration that is physically meaningful is found as a solution of the quantum mechanical Euler-Lagrange equation in the \stackrel\ensuremath→J0 limit. It is shown that there exists a nonzero field configuration in the broken phase of Z2 symmetry because of a boundary effect.