标题： “平凡性”变得简单：(lambda Phi^4)_4的真实故事 显示英文标题

标题： "TRIVIALITY" MADE EASY: the real (lambda Phi^4)_4 story

摘要： (λΦ⁴)₄ 理论的“平凡性”的真正含义概述如下。假设“平凡性”会导致一个有效势能，该势能仅仅是经典势能加上自由场涨动的零点能。这个 V_{eff}导致自发对称破缺。其正确的重整化结果是所有散射振幅都消失，从而自洽地验证了最初的假设。然而，该理论在物理上与自由场理论不同；它在有限临界温度下存在对称恢复的相变。 显示英文摘要

摘要： The real meaning of `triviality' of (lambda Phi^4)_4 theory is outlined. Assuming `triviality' leads to an effective potential that is just the classical potential plus the zero-point energy of the free-field fluctuations. This V_{eff} gives spontaneous symmetry breaking. Its proper renormalization has the consequence that all scattering amplitudes vanish, self-consistently validating the original assumption. Nevertheless, the theory is physically distinguishable from a free field theory; it has a symmetry-restoring phase transition at a finite critical temperature.