The three-dimensional real scalar model, in which the [Formula presented] symmetry spontaneously breaks, is renormalized in a nonperturbative manner based on the Tamm-Dancoff truncation of Fock space. A critical line is calculated by diagonalizing the Hamiltonian regularized with basis functions. The marginal [Formula presented] coupling dependence of the critical line is weak. In the broken phase the canonical Hamiltonian is tachyonic, so the field is shifted as [Formula presented]. The shifted value [Formula presented] is determined as a function of running mass and coupling so that the mass of the ground state vanishes.
|Number of pages
|Physical Review D - Particles, Fields, Gravitation and Cosmology
|Published - 1997
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)