AI 中文总结
本研究针对标量传播子和 tadpole 自能，考虑参数 σ 结合实时形式，构建不同基下的自能，发现新基可减少自能分量，为实时热自能研究提供新基选择。
AI 中文摘要
在本研究中，我们引入一项系统研究，用于研究标量传播子和 tadpole 自能，方法是考虑任意参数 σ，该参数允许实时形式（RTF）中的路径积分描述。闭时间路径形式（CTP）和热场动力学（TFD）是费曼规则中参数 σ 的两种常用选择。我们在动量空间的两种不同基以及混合空间中构建了标量传播子和 tadpole 自能。结果表明，在 RTF 框架内，1/2 基下两种空间中自能的对角分量在两种方法中一致，而其他非对角分量因依赖路径参数而不同。另一方面，在 RTF 框架内，新基下两种空间中自能的对角分量在两种方法中不一致，而非对角分量消失。这意味着新基可减少所研究量的分量，如自能或其他量。
英文摘要
In this work, we introduce a systematic study for studying the scalar propagator and tadpole self-energy by considering an arbitrary parameter $σ$ that allows for a path integral description in real-time formalism (RTF). The closed time path formalism (CTP) and Thermofield Dynamics (TFD) are two popular choices for the parameter $σ$ in the Feynman rules. We have constructed a scalar propagator and a tadpole self-energy in two different bases in the momentum space as well as the mixed space. The results show that the diagonal components of self-energy in both spaces for the 1/2 basis are the same in both approaches within RTF, whereas the other off-diagonal components of self-energy are different because they depend on the path parameter. On the other hand, the diagonal components of self-energy in both spaces for the new basis are not the same in both approaches within RTF, whereas the off-diagonal components of self-energy are vanishing. That means the new basis allows one to reduce the components for the quantities studied, like self-energy or other.
Journal refResults in Physics 39 (2022) 105691
