Critical Temperature in Weakly Interacting Multicomponent Field Theory

Abstract

A method is suggested for calculating the critical temperature in multicomponent field theory with weak interactions. The method is based on self-similar approximation theory allowing for the extrapolation of series in powers of asymptotically small coupling to finite and even infinite couplings. The extrapolation for the critical temperature employs self-similar factor approximants. The found results are in perfect agreement with Monte Carlo simulations.

Latex file, 10 pages

References in corpus (5)

• Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Seven Loops
• Asymptotically Improved Convergence of Optimized Perturbation Theory in the Bose-Einstein Condensation Problem
• Non-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift
• Method of self-similar factor approximants
• Shift of BEC Temperature of Homogenous Weakly Interacting Bose Gas

Cited by in corpus (5)

• Bose-Einstein condensation temperature of weakly interacting atoms
• Interplay Between Approximation Theory and Renormalization Group
• Deconfinement and freezeout boundaries in equilibrium thermal models
• $1/N$-expansion for the critical temperature of the Bose gas
• From Asymptotic Series to Self-Similar Approximants