Quantum Fluctuations of a 3-Dimensional φ4 Model-Quantum Ferroelectrics

摘要: A renormalization group transformation for quantum statistics is developed and applied to the φ4 model. We find that fluctuations at T = 0 thermal ≠ restore symmetry giving rise a ferroelectric-para-electric transition. The renormalized mass (the inverse dielectric susceptibility) coupling constant become temperature dependent. constants Wilson functions are given by calculation 0. susceptibility n 1 d 3 (n being number of components order parameter dimension) \( {\chi^{{ - 1}}} \sim \chi_{{qmf}}^{{ 1}}{\left| {Log\,\chi_{{qmf}}^{{ \right|^{{ 1/3}}} \) (qmf refers quantum-mean-field in paraelectric phase). For materials with TC we 1}} {T^2} {T^2}{\left| {Log\,{T^2}} \).