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Review on novel methods for lattice gauge theories
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Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying quantum field theories, and has led to impressive achievements. In particular, it significantly deepened our understanding of quantum chromodynamics. Yet, some very relevant problems remain inherently challenging, such as real time evolution, or the presence of a chemical potential, cases in which Monte Carlo simulations are hindered by a sign problem. In the last few years, a number of possible alternatives have been put forward, based on quantum information ideas, which could potentially open the access to areas of research that have so far eluded more standard methods. They include tensor network calculations, quantum simulations with different physical platforms and quantum computations, and constitute nowadays a vibrant research area. Experts from different fields, including experimental and theoretical high energy physics, condensed matter, and quantum information, are turning their attention to these interdisciplinary possibilities, and driving the progress of the field. The aim of this article is to review the status and perspectives of these new avenues for the exploration of lattice gauge theories.
Forward citations
Cited by 7 Pith papers
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Higher-order structure of Hamiltonian truncation effective theory
All-order local and O(Emax⁻⁴) non-local corrections are derived for Hamiltonian truncation effective theory of 2D λφ⁴; numerically, NNLO barely improves on NLO.
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Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions
Exact diagonalization shows 1+1D SU(2) lattice gauge theory with dynamical fermions satisfies ETH, including for non-local string operators that display a memory peak.
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Quantum computation of hadron scattering in a lattice gauge theory
On a trapped-ion quantum computer, the authors prepared multiple meson wave packets and simulated their early-time collisions in a 1+1D Z2 lattice gauge theory.
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Confinement and String Breaking in the Compact Abelian Higgs Model
A spin-1 qutrit lattice model with a local chemical potential yields universal linear string potentials, from which string tension, breaking length, and meson mass can be extracted by DMRG.
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Observation of Robust and Coherent Non-Abelian Hadron Dynamics on Noisy Quantum Processors
A 60-site SU(2) lattice gauge theory was run on 120 qubits, but the implemented dynamics approximate to non-interacting fermion hopping, and the abstract's claimed breathing-mode frequency is not extracted anywhere.
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Landau-Zener-St\"uckelberg-Majorana dynamics of magnetized quarkonia
A Landau-Zener Hamiltonian fitted to the static charmonium spectrum predicts that fast magnetic-field sweeps drive nonadiabatic transitions between charmonium states, with Stückelberg interference controlling final po...
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Tensor-network toolbox for probing dynamics of non-Abelian gauge theories
A matrix-product-state ansatz in the loop-string-hadron basis is used to compute ground-state energies, static potentials, and string-breaking dynamics of (1+1)D SU(2) lattice gauge theory, reproducing known qualitati...
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