
arXiv: 2201.00123
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.
19 pages, 2 figures, RevTeX 4-2
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences
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