A qubit regularization of asymptotic freedom without fine-tuning
Proceedings of The 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)(2024)
摘要
Other than the commonly used Wilson's regularization of quantum field
theories (QFTs), there is a growing interest in regularizations that explore
lattice models with a strictly finite local Hilbert space, in anticipation of
the upcoming era of quantum simulations of QFTs. A notable example is Euclidean
qubit regularization, which provides a natural way to recover continuum QFTs
that emerge via infrared fixed points of lattice theories. Can such
regularizations also capture the physics of ultraviolet fixed points? We
present a novel regularization of the asymptotically free massive continuum QFT
that emerges at the Berezenski-Kosterlitz-Thouless (BKT) transition through a
hard core loop-gas model, discussing the advantages this model provides
compared to traditional regularizations. In particular, we demonstrate that
without the need for fine-tuning, it can reproduce the universal step-scaling
function of the classical lattice XY model in the massive phase as we approach
the phase transition.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要