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

Journal Article · · Physical Review, D
 [1];  [2]
  1. Department of Physics, Kyushu University, Fukuoka 812-81 (Japan)
  2. University of Fisheries, Shimonoseki 759-65 (Japan)
The three-dimensional real scalar model, in which the Z{sub 2} 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 ({phi}{sup 6}) coupling dependence of the critical line is weak. In the broken phase the canonical Hamiltonian is tachyonic, so the field is shifted as {phi}(x){r_arrow}{var_phi}(x)+v. The shifted value v is determined as a function of running mass and coupling so that the mass of the ground state vanishes. {copyright} {ital 1997} {ital The American Physical Society}
OSTI ID:
467479
Journal Information:
Physical Review, D, Journal Name: Physical Review, D Journal Issue: 4 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English