光锋量子化中的蝌蚪和真空泡
Tadpoles and vacuum bubbles in light-front quantization
摘要：
我们开发了一种方法，通过该方法，真空跃迁可能包括在光阵面计算。这使得蝌蚪的贡献，这是重要的破坏性的影响，但从标准的光前计算失踪。这些转变也决定了一个不平凡的真空和贡献，从真空泡的物理状态。在非微扰计算中，这些单独的贡献类别（蝌蚪和气泡）不能被过滤;相反，我们调节气泡并从物理状态的本征能中减去真空能。关键是用有限宽度的模型函数代替动量守恒的δ函数;宽度成为调节器，并在减法后被删除。该方法是说明在自由标量理论，淬火标量汤川理论，并在有限的福克空间截断的$ϕ^4$理论。
英文摘要：
We develop a method by which vacuum transitions may be included in light-front calculations. This allows tadpole contributions which are important for symmetry-breaking effects and yet are missing from standard light-front calculations. These transitions also dictate a nontrivial vacuum and contributions from vacuum bubbles to physical states. In nonperturbative calculations these separate classes of contributions (tadpoles and bubbles) cannot be filtered; instead, we regulate the bubbles and subtract the vacuum energy from the eigenenergy of physical states. The key is replacement of momentum-conserving delta functions with model functions of finite width; the width becomes the regulator and is removed after subtractions. The approach is illustrated in free scalar theory, quenched scalar Yukawa theory, and in a limited Fock-space truncation of $ϕ^4$ theory.
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