论文标题
NLO有限的系统大小更正到$ 2 \ to2 $散射$ ϕ^4 $理论，使用新得出的SINC函数总和
NLO finite system size corrections to $2\to2$ scattering in $ϕ^4$ theory using newly derived sum of sinc functions
论文作者
论文摘要
以前使用晶格仪理论方法计算了在LHC和RHIC的重离子碰撞中遇到的相对论水动力学的状态方程。由于计算出的痕量异常，这导致了非常低粘度的预测。由于晶格计算是在有效的无限系统中完成的，因此对此轨迹异常的有限系统校正可能会挑战此计算。为了验证这种迹线异常，添加与现象学相关的有限系统校正是明智的。我们研究了具有定期边界条件的大量$ ϕ^4 $理论，该条件是3 $的$ n $。然后计算$ 2 \ to2 $ nlo散射。使用新得出的公式用于SINC函数的任意维数，我们表明NLO有限尺寸校正可以保留单位性。
Previously an equation of state for the relativistic hydrodynamics encountered in heavy-ion collisions at the LHC and RHIC has been calculated using lattice gauge theory methods. This leads to a prediction of very low viscosity, due to the calculated trace anomaly. Finite system corrections to this trace anomaly could challenge this calculation, since the lattice calculation was done in an effectively infinite system. In order to verify this trace anomaly it is sensible to add phenomenologically relevant finite system corrections. We investigate massive $ϕ^4$ theory with periodic boundary conditions on $n$ of the 3 spatial dimensions. $2\to2$ NLO scattering is then computed. Using a newly derived formula for an arbitrary dimensional sum of sinc functions, we show that the NLO finite size corrections preserve unitarity.
