标题： UV完整的四导数标量场理论 显示英文标题

标题： UV-complete 4-derivative scalar field theory

摘要： 一个具有四阶导数动能项和四阶导数三线性和四线性耦合的标量场理论被提出作为量子二次引力（QQG）的代理。该标量理论是可重整化的且渐近自由的，剩下的关键问题是单位性，或者说正性，正如在QQG中一样。我们扩展了光学定理和微分截面的计算，两者都在高能极限下，以说明正性如何约束该理论。结果还表明微分截面为何可以具有良好的高能行为。最后，我们利用该标量理论将一个质量为U(1)规范玻色子的Stuckelberg理论扩展为一个自相互作用规范玻色子的可重整化理论。 显示英文摘要

摘要： A scalar field theory with 4-derivative kinetic terms and 4-derivative cubic and quartic couplings is presented as a proxy for quantum quadratic gravity (QQG). The scalar theory is renormalizable and asymptotically free and the remaining key issue is unitarity, or more precisely positivity, just as it is in QQG. We have extended calculations for the optical theorem and for a differential cross section, both in the high energy limit, to show how positivity constrains the theory. The results also show how it is that differential cross sections can have good high energy behavior. Finally we use the scalar theory to extend the Stuckelberg theory of a massive U(1) gauge boson to a renormalizable theory of a self-interacting gauge boson.