Continuum limit of finite temperature $\lambda {\varphi }_3^4$ from lattice Monte Carlo

Abstract

The ${\varphi }_3^4$ model at finite temperature is simulated on the lattice. For fixed $N_t$ we compute the transition line for $N_s\to \infty$ by means of Finite Size Scaling techniques. The crossings of a Renormalization Group trajectory with the transition lines of increasing $N_t$ give a well defined limit for the critical temperature in the continuum. By considering different RG trajectories, we compute $T^c/g$ as a function of the renormalized parameters.

26 pages, Latex, epsfig, 8 figures included

References in corpus (10)

• Is There a Hot Electroweak Phase Transition at $m_H\gsim m_W$?
• 3D Physics and the Electroweak Phase Transition: Perturbation Theory
• 3d physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis
• Is there a monopole problem?
• On Symmetry Non-Restoration at High Temperature
• Can Symmetry non-restoration solve the Monopole Problem?
• High Temperature Phase Transitions without Infrared Divergences
• On the CJT Formalism in Multi-Field Theories
• High Temperature Phase Transition in Two-Scalar Theories
• Renormalization Group Study of the soliton mass on the (lambda Phi^4)_{1+1} lattice model

Cited by in corpus (10)

• Quantum field theory on toroidal topology: algebraic structure and applications
• Boundary dependence of the coupling constant and the mass in the vector N-component $(\lambda {\varphi }^4{)}_D$ theory
• Inverse Symmetry Breaking on the lattice: an accurate MC study
• The thermal coupling constant and the gap equation in the $\lambda {\varphi }_D^4$ model
• The effective potential, critical point scaling and the renormalization group
• One-loop results for kink and domain wall profiles at zero and finite temperature
• Alternative Dimensional Reduction via the Density Matrix
• A Monte Carlo study of Inverse Symmetry Breaking
• A lattice Monte Carlo study of Inverse Symmetry Breaking in a two-scalar model in three dimensions
• The scaling region of the lattice O(N) sigma model at finite temperature