We propose a two-dimensional hard-core loop-gas model as a way to regularize the asymptotically free massive continuum quantum field theory that emerges at the Berezinskii-Kosterlitz-Thouless transition. Without fine-tuning, our model can reproduce the universal step-scaling function of the classical lattice model in the massive phase as we approach the phase transition. This is achieved by lowering the fugacity of Fock-vacuum sites in the loop-gas configuration space to zero in the thermodynamic limit. Some of the universal quantities at the Berezinskii-Kosterlitz-Thouless transition show smaller finite size effects in our model as compared to the traditional model. Our model is a prime example of qubit regularization of an asymptotically free massive quantum field theory in Euclidean space-time and helps understand how asymptotic freedom can arise as a relevant perturbation at a decoupled fixed point without fine-tuning.
Maiti, Sandip, et al. "Asymptotic Freedom at the Berezinskii-Kosterlitz-Thouless Transition without Fine-Tuning Using a Qubit Regularization." Physical Review Letters, vol. 132, no. 4, Jan. 2024. https://doi.org/10.1103/PhysRevLett.132.041601
Maiti, Sandip, Banerjee, Debasish, Chandrasekharan, Shailesh, & Marinkovic, Marina K. (2024). Asymptotic Freedom at the Berezinskii-Kosterlitz-Thouless Transition without Fine-Tuning Using a Qubit Regularization. Physical Review Letters, 132(4). https://doi.org/10.1103/PhysRevLett.132.041601
Maiti, Sandip, Banerjee, Debasish, Chandrasekharan, Shailesh, et al., "Asymptotic Freedom at the Berezinskii-Kosterlitz-Thouless Transition without Fine-Tuning Using a Qubit Regularization," Physical Review Letters 132, no. 4 (2024), https://doi.org/10.1103/PhysRevLett.132.041601
@article{osti_2282227,
author = {Maiti, Sandip and Banerjee, Debasish and Chandrasekharan, Shailesh and Marinkovic, Marina K.},
title = {Asymptotic Freedom at the Berezinskii-Kosterlitz-Thouless Transition without Fine-Tuning Using a Qubit Regularization},
annote = { We propose a two-dimensional hard-core loop-gas model as a way to regularize the asymptotically free massive continuum quantum field theory that emerges at the Berezinskii-Kosterlitz-Thouless transition. Without fine-tuning, our model can reproduce the universal step-scaling function of the classical lattice X Y model in the massive phase as we approach the phase transition. This is achieved by lowering the fugacity of Fock-vacuum sites in the loop-gas configuration space to zero in the thermodynamic limit. Some of the universal quantities at the Berezinskii-Kosterlitz-Thouless transition show smaller finite size effects in our model as compared to the traditional X Y model. Our model is a prime example of qubit regularization of an asymptotically free massive quantum field theory in Euclidean space-time and helps understand how asymptotic freedom can arise as a relevant perturbation at a decoupled fixed point without fine-tuning. Published by the American Physical Society 2024 },
doi = {10.1103/PhysRevLett.132.041601},
url = {https://www.osti.gov/biblio/2282227},
journal = {Physical Review Letters},
issn = {ISSN PRLTAO},
number = {4},
volume = {132},
place = {United States},
publisher = {American Physical Society},
year = {2024},
month = {01}}
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 380, Issue 2216https://doi.org/10.1098/rsta.2021.0068