Asymptotic Freedom at the Berezinskii-Kosterlitz-Thouless Transition without Fine-Tuning Using a Qubit Regularization
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Date
2024-01-26Type
- Journal Article
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Abstract
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 XY 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 XY 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. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000656460Publication status
publishedExternal links
Journal / series
Physical Review LettersVolume
Pages / Article No.
Publisher
American Physical SocietySubject
Conformal field theory; Lattice field theory; Lower-dimensional field theories; Renormalization group; Sigma models; XY model; Continuous symmetries; Monte Carlo methodsOrganisational unit
09738 - Krstic Marinkovic, Marina / Krstic Marinkovic, Marina
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ETH Bibliography
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