论文标题
相对论$ n $ - 粒子能量转移有限量
Relativistic $N$-particle energy shift in finite volume
论文作者
论文摘要
我们提出了一种在有限体积的$ N $无旋转粒子的相互作用系统的能量转移的一般方法。为此，我们使用非依赖性的有效场理论（NREFT），并将相关的低能常数与散射幅度相匹配。相对论更正被明确包含在$ 1/l $扩展中的给定订单。我们将此方法应用于$ n $颗粒的基态，而两个和三个粒子的第一个激发态在两种和三粒子相对论散射幅度的阈值参数方面订购$ l^{ - 6} $。我们使用这些表达式分析复杂$φ^4 $理论中的$ n $粒子基态能量转移。
We present a general method for deriving the energy shift of an interacting system of $N$ spinless particles in a finite volume. To this end, we use the nonrelativistic effective field theory (NREFT), and match the pertinent low-energy constants to the scattering amplitudes. Relativistic corrections are explicitly included up to a given order in the $1/L$ expansion. We apply this method to obtain the ground state of $N$ particles, and the first excited state of two and three particles to order $L^{-6}$ in terms of the threshold parameters of the two- and three-particle relativistic scattering amplitudes. We use these expressions to analyze the $N$-particle ground state energy shift in the complex $φ^4$ theory.
