论文标题
标量自我相互作用理论中的肾素：热，热磁和热电校正的所有温度值
Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature
论文作者
论文摘要
在本文中，我们在存在热磁效应的情况下，即磁性和热效应的情况下，在标量自我相互作用的$ λϕ^{4} $理论的框架内重新讨论了对Renormalons的讨论。现在，我们对残基演变的结果是通过明确的分析表达式给出的，对温度的所有值有效，而无需在低温区域分析中分离讨论。我们对外部恒定电场的情况进行了相同的讨论，在这种情况下，在整个范围O温度下也获得了分析表达式。在这两种情况下，骨平面中的杆的位置都没有相对于真空案例发生变化。但是，它们的残留物获得了对温度和外场的依赖。结果显示了在热磁和热电病例中残基的演变。我们在热磁性案例中与我们先前的结果进行了比较，还详细介绍了我们的分析表达式在整个温度范围内所需的数学技术。
In this article we revisit the discussion of renormalons in the frame of a scalar self-interacting $λϕ^{4}$ theory in the presence of thermomagnetic effects, i.e magnetic and thermal effects. Our results for the evolution of the residues is now given by an explicit analytic expression, valid for all values of temperature, without the necessity of separating the discussion in a low- and a high temperature region analyses. We carry out the same discussion for the case of an external constant electric field, obtaining also in this case an analytic expression for the whole range o temperature. In both cases, the location of the poles in the Borel plane does not change with respect to the vacuum case. Their residues, however, acquire a dependence on temperature and the external field. Results are presented for the evolution of residues in the thermomagnetic and thermoelectric cases. We show a comparison with our previous results in the thermomagnetic case, presenting also in detail the mathematical techniques needed for our analytic expressions to be valid in the whole range of temperature.
