Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-11-18
Phys.Rev. D57 (1998) 7373-7382
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, REVTeX, 7 postscript figures, typos corrected and two references added
Scientific paper
10.1103/PhysRevD.57.7373
An indication of spontaneous symmetry breaking is found in the two-dimensional $\lambda\phi^4$ 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 wavefunction 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 $J\to 0$ limit. It is shown that there exists a nonzero field configuration in the broken phase of $Z_2$ symmetry because of a boundary effect.
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