Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-12-28
Phys.Rev. D53 (1996) 7239-7249
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, LaTeX, 7 figures, uses revtex and epsbox.sty
Scientific paper
10.1103/PhysRevD.53.7239
A perturbative renormalization group (RG) scheme for light-front Hamiltonian is formulated on the basis of the Bloch-Horowitz effective Hamiltonian, and applied to the simplest $\phi^4$ model with spontaneous breaking of the $Z_2$ symmetry. 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 $\phi$ as $\phi \rightarrow\phi-v$ 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.
Sugihara Takanori
Yahiro Masanobu
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