Title: Modified Euler-Heisenberg effective action and Proper-Time Method in Lorentz-Violating Scalar QED Show Chinese title

Title: 修正的欧拉-海森堡有效作用量和洛伦兹破缺标量QED中的固有时方法

Abstract: Quantum photon effects in vacuum provide an interesting setting to test quantum electrodynamics, serving as a source for predictions about physics beyond the Standard Model. In this paper, we investigate these effects by calculating the one-loop Euler-Heisenberg-like effective action within a Lorentz-violating scalar quantum electrodynamics framework. In both CPT-even and CPT-odd scenarios, we obtain the exact result in all orders of the stress tensor $F_{\mu\nu}$ and evaluate explicitly the lower orders of this effective action. We identify the quantum effects coming from Lorentz violation in an explicitly gauge invariant way. Nonlinear Lorentz-violating contributions that may affect photon-photon scattering are explicitly evaluated. Show Chinese abstract

Abstract: 量子光子效应在真空中提供了一个测试量子电动力学的有趣场景，可以作为超出标准模型物理预测的来源。 在本文中，我们通过计算在洛伦兹破坏标量量子电动力学框架内的单圈欧拉-海森堡类有效作用量来研究这些效应。 在CPT偶和CPT奇情景下，我们在应力张量 $F_{\mu\nu}$ 的所有阶次中获得了精确结果，并明确评估了该有效作用量的低阶项。 我们以显式规范不变的方式识别出源自洛伦兹破坏的量子效应。 可能影响光子-光子散射的非线性洛伦兹破坏贡献被明确计算。