论文标题

雪人白皮书:汉密尔顿截断

Snowmass White Paper: Hamiltonian Truncation

论文作者

Fitzpatrick, A. Liam, Katz, Emanuel

论文摘要

强耦合量子场理论(QFTS)在高能量物理和多体物理学中无处不在,但是我们在此类系统中进行精确计算的能力仍然有限。哈密​​顿截断是一种在连续限制中强耦合QFT中实时演变进行非扰动计算的方法,并通过数值求解整个希尔伯特空间的截断子空间中的schrodinger方程来起作用。从$ d \ ge 2 $尺寸到相对论的非平衡物理学,了解这种方法的最新进展为一系列应用程序开辟了大门。

Strongly-coupled Quantum Field Theories (QFTs) are ubiquitous in high energy physics and many-body physics, yet our ability to do precise computations in such systems remains limited. Hamiltonian Truncation is a method for doing nonperturbative computations of real-time evolution in strongly coupled QFT in the continuum limit, and works by numerically solving the Schrodinger equation in a truncated subspace of the full Hilbert space. Recent advances in understanding this method have opened the door to progress in a range of applications, from gauge theories in $d\ge 2$ dimensions to relativistic nonequilibrium physics.

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