Exploring Topology Conserving Gauge Actions for Lattice QCD

K.-I. Nagai; K. Jansen; L. Scorzato; S. Necco; S. Shcheredin; W. Bietenholz

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Exploring Topology Conserving Gauge Actions for Lattice QCD

W. Bietenholz, K. Jansen, K.-I. Nagai, S. Necco, L. Scorzato, S. Shcheredin

High Energy Physics - Lattice · Submitted 7 Nov 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This topological stability facilitates the collection of a large set of configurations in a specific sector, which is profitable for numerical studies in the epsilon-regime.

how it is stated · asserted 0.79 read the record →

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arXiv IDhep-lat/0511016 (version 1)

Pith IDUP3SNTSW, Pith's permanent record of this paper and its review

CitationK.-I. Nagai, K. Jansen, L. Scorzato, S. Necco, S. Shcheredin, W. Bietenholz. "Exploring Topology Conserving Gauge Actions for Lattice QCD." arXiv:hep-lat/0511016 (2005). https://pith.science/paper/UP3SNTSW

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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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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,506 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.54 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.76 · compares with prior results 0.09 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We explore gauge actions for lattice QCD, which are constructed such that the occurrence of small plaquette values is strongly suppressed. By choosing strong bare gauge couplings we arrive at values for the physical lattice spacings of O(0.1 fm). Such gauge actions tend to confine the Monte Carlo history to a single topological sector. This topological stability facilitates the collection of a large set of configurations in a specific sector, which is profitable for numerical studies in the epsilon-regime. The suppression of small plaquette values is also expected to be favourable for simulations with dynamical quarks. We use a local Hybrid Monte Carlo algorithm to simulate such actions, and we present numerical results for the static potential, the physical scale, the topological stability and the kernel condition number of the overlap Dirac operator. In addition we discuss the question of reflection positivity for a class of such gauge actions.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We explore gauge actions for lattice QCD, which are constructed such that the occurrence of small plaquette values is strongly suppressed.	contribution 0.93	0.76	0.08	asserted 0.99
s1	By choosing strong bare gauge couplings we arrive at values for the physical lattice spacings of O(0.1 fm).	method 0.60	0.89	0.06	asserted 1.00
s2	Such gauge actions tend to confine the Monte Carlo history to a single topological sector.	result 0.81	0.44	0.18	hedged possibility 0.59
s3	This topological stability facilitates the collection of a large set of configurations in a specific sector, which is profitable for numerical studies in the epsilon-regime.	interpretation 0.98	0.26	0.21	asserted 0.79
s4	The suppression of small plaquette values is also expected to be favourable for simulations with dynamical quarks.	interpretation 0.88	0.08	0.07	hedged possibility 0.94
s5	We use a local Hybrid Monte Carlo algorithm to simulate such actions, and we present numerical results for the static potential, the physical scale, the topological stability and the kernel condition number of the overlap Dirac operator.	method 0.53	0.97	0.10	asserted 1.00
s6	In addition we discuss the question of reflection positivity for a class of such gauge actions.	contribution 0.99	0.57	0.05	unclear 0.90

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

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arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We explore gauge actions for lattice QCD, which are constructed such that the occurrence of small plaquette values is strongly suppressed. By choosing strong bare gauge couplings we arrive at values for the physical lattice spacings of O(0.1 fm). Such gauge actions tend to confine the Monte Carlo history to a single topological sector. This topological stability facilitates the collection of a large set of configurations in a specific sector, which is profitable for numerical studies in the epsilon-regime. The suppression of small plaquette values is also expected to be favourable for simulations with dynamical quarks. We use a local Hybrid Monte Carlo algorithm to simulate such actions, and we present numerical results for the static potential, the physical scale, the topological stability and the kernel condition number of the overlap Dirac operator. In addition we discuss the question of reflection positivity for a class of such gauge actions.

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References

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Lattice gauge action suppressing near-zero modes of H_W
hep-lat 2006-07 conditional novelty 5.0 of 10

A lattice action with extra negative-mass Wilson fermions produces a measured gap in the spectral density of the hermitian Wilson-Dirac operator near zero, removing the near-zero-mode bottleneck for overlap fermions.
Lattice QCD with fixed topology
hep-lat 2006-03 conditional novelty 5.0 of 10

Fixed-topology lattice QCD with an admissible gauge action or a negative-mass Wilson determinant stabilizes the topological charge and reproduces known low-energy constants in the epsilon-regime.
Tensor renormalization group study of the two-dimensional lattice U(1) gauge-Higgs model with a topological $\theta$ term under L\"uscher's admissibility condition
hep-lat 2025-01 conditional novelty 4.0 of 10

TRG computations show that Lüscher's admissibility condition moves the first-order transition of the 2D U(1) gauge-Higgs model at theta = pi closer to theta = pi under the field-theoretical definition, and locate the ...
Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations
hep-lat 2014-06 conditional novelty 4.0 of 10

The topological susceptibility of two-flavor QCD, measured with the Wilson-flow charge on three lattice spacings and extrapolated to the continuum, agrees with leading-order chiral perturbation theory within the quote...
Theta dependence of SU(N) gauge theories in the presence of a topological term
hep-th 2008-03 accept novelty 2.0 of 10

Lattice measurements of the topological susceptibility and its theta-expansion coefficients in SU(N) gauge theory agree with large-N scaling and the Witten-Veneziano explanation of the U(1)_A problem.

How the literature uses it

4 arXiv papers cite this in 4 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 2 papers

This enables the cumulation of statistics with a specific topological charge, which is needed for simulations of QCD in the $\epsilon$-regime.

Testing a Topology Conserving Gauge Action in QCD · 0.96
This is well suited for simulations in the epsilon-regime and it is expected to help in numerical simulations with dynamical quarks.

Lattice Gauge Actions for Fixed Topology · 0.83

Papers citing it · 3 sentences without a confident label

Cites it as background 1 paper

While for us it is desirable that the actions [ref] do not prevent topology from fluctuating, there have also been attempts to find actions which keep the topology fixed [ref] .

Bulk-preventing actions for SU(N) gauge theories · Bulk-preventing action · 0.85

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