A qubit regularization of asymptotic freedom without fine-tuning

• URL: http://arxiv.org/abs/2401.10157v1
• Date: Mon, 15 Jan 2024 15:11:47 GMT
• Title: A qubit regularization of asymptotic freedom without fine-tuning
• Authors: Sandip Maiti, Debasish Banerjee, Shailesh Chandrasekharan, Marina Krstic Marinkovic
• Abstract summary: We present a novel regularization of the infraredally free massive QFT that emerges at the Berezenski-Kosterlitz-Thouless transition through a hard core loop-gas model. 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.
• Score: 1.9074059825851202
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: 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.

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