Nonperturbative renormalization group in a light-front three-dimensional real scalar model

Takanori Sugihara, Masanobu Yahiro

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)2218-2226
Number of pages9
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number4
Publication statusPublished - 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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