DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Asymptotic Freedom at the Berezinskii-Kosterlitz-Thouless Transition without Fine-Tuning Using a Qubit Regularization

Journal Article · · Physical Review Letters

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

Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
KA2401032; FG02-05ER41368
OSTI ID:
2282227
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Vol. 132 Journal Issue: 4; ISSN 0031-9007
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (54)

Chiral limit of strongly coupled lattice gauge theories journal July 2003
Bilayer Coulomb phase of two-dimensional dimer models: Absence of power-law columnar order journal April 2021
Ground-state phase diagram of S = 1 XXZ chains with uniaxial single-ion-type anisotropy journal March 2003
[Table of contents] journal June 2001
Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model journal August 1977
Kosterlitz-Thouless universality in dimer models journal November 2003
Finite size effects in the presence of a chemical potential: A study in the classical nonlinear O ( 2 ) sigma model journal June 2010
Exact solution of the 2d dimer model: Corner free energy, correlation functions and combinatorics journal May 2015
Dimer Statistics and Phase Transitions journal February 1963
C P ( N − 1 )  quantum field theories with alkaline-earth atoms in optical lattices journal July 2016
The Kosterlitz-Thouless universality class journal February 1997
Spinor Bose gases: Symmetries, magnetism, and quantum dynamics journal July 2013
Simulating lattice gauge theories within quantum technologies journal August 2020
D-theory: field quantization by dimensional reduction of discrete variables journal August 2004
Atomic Quantum Simulation of U ( N ) and SU ( N ) Non-Abelian Lattice Gauge Theories journal March 2013
The three-dimensionalXYuniversality class: a high precision Monte Carlo estimate of the universal amplitude ratioA+/A journal August 2006
Massive fermions without fermion bilinear condensates journal March 2015
σ Models on Quantum Computers journal August 2019
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm journal October 2004
Critical theory of quantum spin chains journal October 1987
Truncation effects in the charge representation of the O(2) model journal June 2021
Qubit Regularization of Asymptotic Freedom journal April 2021
Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models journal December 2015
Trailhead for quantum simulation of SU(3) Yang-Mills lattice gauge theory in the local multiplet basis journal May 2021
Quantum Phase Transitions book January 2011
Conformal Dimensions in the Large Charge Sectors at the O ( 4 ) Wilson-Fisher Fixed Point journal August 2019
Quantum and Classical Spin-Network Algorithms for q -Deformed Kogut-Susskind Gauge Theories journal October 2023
Hamiltonians and gauge-invariant Hilbert space for lattice Yang-Mills-like theories with finite gauge group journal June 2023
Fermion bag approach to lattice field theories journal July 2010
From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories journal December 2021
Classical dimers with aligning interactions on the square lattice journal October 2006
Quantum Field Theory and Critical Phenomena (4th Edition) book June 2002
Three-dimensional Gross-Neveu model with two flavors of staggered fermions
  • Maiti, Sandip; Banerjee, Debasish; Chandrasekharan, Shailesh
  • Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) https://doi.org/10.22323/1.396.0510
conference May 2022
Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers journal November 1963
Does the XY model have an integrable continuum limit? journal December 2001
Interacting double dimer model on the square lattice journal November 2020
3D Loop Models and the CP n − 1 Sigma Model journal September 2011
Origin of fermion masses without spontaneous symmetry breaking journal April 2016
Study of C P ( N − 1 ) θ -Vacua by Cluster Simulation of S U ( N ) Quantum Spin Ladders journal January 2005
String-net formulation of Hamiltonian lattice Yang-Mills theories and quantum many-body scars in a nonabelian gauge theory journal September 2023
Qubit regularized O ( N ) nonlinear sigma models journal June 2022
Spacetime symmetric qubit regularization of the asymptotically free two-dimensional O ( 4 ) model journal March 2022
The two-dimensional XY model at the transition temperature: a high-precision Monte Carlo study journal June 2005
Ordering, metastability and phase transitions in two-dimensional systems journal April 1973
Statistical Mechanics of Dimers on a Plane Lattice journal December 1961
From Asymptotic Freedom to θ Vacua: Qubit Embeddings of the O(3) Nonlinear σ Model journal July 2022
Topological lattice actions for the 2d XY model journal March 2013
Toward the continuum limit of a (1+1)D quantum link Schwinger model journal November 2022
Quantum spins and quantum links: The D-theory approach to field theory journal March 1999
Digitization of scalar fields for quantum computing journal May 2019
Dimensional reduction of fermions in brane worlds of the Gross-Neveu model journal October 2003
The renormalization group and critical phenomena journal July 1983
Loop models with crossings journal May 2013
Asymptotic Scaling in the Two-Dimensional O(3) σ Model at Correlation Length 1 0 5 journal September 1995

Similar Records

Symmetry breaking in an extended O(2) model
Journal Article · 2024 · Physical Review. D. · OSTI ID:2331321

Axion baryogenesis puts a new spin on the Hubble tension
Journal Article · 2024 · Physical Review. D. · OSTI ID:2475203

Gravitational waveforms: A tale of two formalisms
Journal Article · 2024 · Physical Review. D. · OSTI ID:2376237

Related Subjects