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Quantum computational representation of gauge field theory
Quantum Physics · Submitted 17 Oct 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The low-energy expansions of the lattice model and Euler-Lagrange equations of the curved-space gauge field theory are the same equations of motion.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
Presented is a quantum computing model of a quantum field theory for a system of fermions interacting via a massive gauge field. The model describes a relativistic superconducting fluid and uses a metric tensor field to both encode the fermion's intrinsic spin in the torsion of curved space and encode the coupling of fermions via a massive 4-potential field. The quantum computing model is a lattice model whose cell size is a deformation parameter: the equivalent lattice and curved-space gauge field theory models both reduce to quantum field theory in flat Minkowski space at zero cell size. The low-energy expansions of the lattice model and Euler-Lagrange equations of the curved-space gauge field theory are the same equations of motion. The fermion and gauge fields obey the Dirac and Proca equations, and the gauge field strength is determined by the fermion field.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Presented is a quantum computing model of a quantum field theory for a system of fermions interacting via a massive gauge field. | contribution 0.99 | 0.86 | 0.22 | asserted 1.00 |
| s1 | The model describes a relativistic superconducting fluid and uses a metric tensor field to both encode the fermion's intrinsic spin in the torsion of curved space and encode the coupling of fermions via a massive 4-potential field. | method 0.81 | 0.73 | 0.15 | asserted 1.00 |
| s2 | The quantum computing model is a lattice model whose cell size is a deformation parameter: the equivalent lattice and curved-space gauge field theory models both reduce to quantum field theory in flat Minkowski space at zero cell size. | method 0.88 | 0.76 | 0.18 | asserted 1.00 |
| s3 | The low-energy expansions of the lattice model and Euler-Lagrange equations of the curved-space gauge field theory are the same equations of motion. | result 1.00 | 0.83 | 0.38 | asserted 1.00 |
| s4 | The fermion and gauge fields obey the Dirac and Proca equations, and the gauge field strength is determined by the fermion field. | result 0.98 | 0.70 | 0.22 | asserted 1.00 |
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The paper
Original abstract
Presented is a quantum computing model of a quantum field theory for a system of fermions interacting via a massive gauge field. The model describes a relativistic superconducting fluid and uses a metric tensor field to both encode the fermion's intrinsic spin in the torsion of curved space and encode the coupling of fermions via a massive 4-potential field. The quantum computing model is a lattice model whose cell size is a deformation parameter: the equivalent lattice and curved-space gauge field theory models both reduce to quantum field theory in flat Minkowski space at zero cell size. The low-energy expansions of the lattice model and Euler-Lagrange equations of the curved-space gauge field theory are the same equations of motion. The fermion and gauge fields obey the Dirac and Proca equations, and the gauge field strength is determined by the fermion field.
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How the literature uses it
3 arXiv papers cite this in 3 sentences
What it cites · 11 sentences without a confident label
Uses the method or tool of 1 paper
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With stream operator $Ŝ(n) =e^ iℓσ_z σ·p̂_n /ħ$ expressed with the momentum operator $p̂_n = ħn·σ/(Lℓ)$, one converts to the Bloch-Wannier picture by replacing the spacetime operators $p̂_n$ and $Ê_n$ on the qubit array with derivative operators acting on a Dirac field $Ψ(x)$ in continuous spacetime [ref] , i.e.
Quantum computational path summation for relativistic quantum mechanics and a time dilation relation for a Dirac Hamiltonian generator on a qubit array · Path integration · 0.84
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