A perturbative renormalization group (RG) scheme for the light-front Hamiltonian is formulated on the basis of the Bloch-Horowitz effective Hamiltonian, and applied to the simplest φ4 model with spontaneous breaking of Z2symmetry. RG equations are derived at one-loop order for both symmetric and broken phases. The equations are consistent with those calculated in the covariant perturbation theory. For the symmetric phase, an initial cutoff Hamiltonian in the RG procedure is made by excluding the zero mode from the canonical Hamiltonian with an appropriate regularization. An initial cutoff Hamiltonian for the broken phase is constructed by shifting φ by φ→φ-v in the initial Hamiltonian for the symmetric phase. The shifted value v is determined on a renormalization trajectory. The minimum of the effective potential occurs on the trajectory.
|Number of pages
|Physical Review D - Particles, Fields, Gravitation and Cosmology
|Published - 1996
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)