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

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

1996-09-09

arxiv.org/abs/hep-th/9609067v2

Phys.Rev. D55 (1997) 2218-2226

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, LaTeX, 6 Postscript figures, uses revTeX and epsbox.sty. A slight revision of statements made, some references added

Scientific paper

10.1103/PhysRevD.55.2218

The three-dimensional real scalar model, in which the $Z_2$ symmetry spontaneously breaks, is renormalized in a nonperturbative manner based on the Tamm-Dancoff truncation of the Fock space. A critical line is calculated by diagonalizing the Hamiltonian regularized with basis functions. The marginal ($\phi^6$) coupling dependence of the critical line is weak. In the broken phase the canonical Hamiltonian is tachyonic, so the field is shifted as $\phi(x)\to\varphi(x)+v$. The shifted value $v$ is determined as a function of running mass and coupling so that the mass of the ground state vanishes.

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