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

Abstract

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 (${\varphi }^6$) coupling dependence of the critical line is weak. In the broken phase the canonical Hamiltonian is tachyonic, so the field is shifted as $\varphi (x)\to \phi (x)+v$. The shifted value $v$ is determined as a function of running mass and coupling so that the mass of the ground state vanishes.

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

References in corpus (6)

• Spontaneous Symmetry Breaking of phi4(1+1) in Light Front Field Theory
• A renormalization group approach to Hamiltonian light-front field theory
• The massive Schwinger model with $SU(2{)}_f$ on the light cone
• NAMBU-GOLDSTONE BOSON ON THE LIGHT-FRONT
• $k^{+}=0$ Modes in Light-Cone Quantization
• A perturbative renormalization group approach to light-front Hamiltonian

Cited by in corpus (2)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED