High Energy Physics - Lattice · arXiv:0909.2281 v1 · submitted 14 Sep 2009
The vector and axial currents in Wilson chiral perturbation theory
The paper says
“In particular, we discuss in detail the impact of the finite renormalization of the currents on their matching from the lattice theory to WChPT.We explicitly show that imposing chiral Ward-Takahashi identities on the currents leads, in general, to additional terms of O(a) in the axial current.”
from the abstract · picked out as the main claim by a classifier
Reviews
Reviews by people
No person has reviewed this paper on Pith yet. A scientist listed on Pith can review it for a fee, and their review is published here whatever it concludes.
The paper
Abstract
We reconsider the construction and matching of the vector and axial currents in Wilson Chiral Perturbation Theory (WChPT), the low-energy effective theory for lattice QCD with Wilson fermions. In particular, we discuss in detail the impact of the finite renormalization of the currents on their matching from the lattice theory to WChPT.We explicitly show that imposing chiral Ward-Takahashi identities on the currents leads, in general, to additional terms of O(a) in the axial current. We illustrate the impact on physical quantities by computing the pion decay constant to one-loop order in the two flavor theory. Our result differs from previously published ones.
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. No sentence in this record was written by a model.
abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.99
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.18 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.94 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We reconsider the construction and matching of the vector and axial currents in Wilson Chiral Perturbation Theory (WChPT), the low-energy effective theory for lattice QCD with Wilson fermions. | contribution 0.82 | 0.63 | 0.05 | asserted 0.77 |
| In particular, we discuss in detail the impact of the finite renormalization of the currents on their matching from the lattice theory to WChPT.We explicitly show that imposing chiral Ward-Takahashi identities on the currents leads, in general, to additional terms of O(a) in the axial current. | result 0.58 | 0.90 | 0.56 | asserted 0.99 |
| We illustrate the impact on physical quantities by computing the pion decay constant to one-loop order in the two flavor theory. | contribution 0.51 | 0.95 | 0.08 | asserted 0.98 |
| Our result differs from previously published ones. | result 0.92 | 0.77 | 0.20 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.97
What was examined, and what was not
Sources read
- arXiv listing abstract v1
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,628 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
How the literature uses it
1 arXiv paper cite this in 1 sentence
Papers whose main result relates to this one's
States the same result 1 paper
-
We explicitly show that imposing the chiral Ward identities on the currents does, in general, affect the axial-vector current at O(a).
Vector and Axial Currents in Wilson Chiral Perturbation Theory · 0.99
Papers citing it
Cites it as background 1 paper
-
Besides the baryon mass, the axial current and axial charge of the baryons are also very important observables, which attract lots of attention [ref] .
The masses and axial currents of the doubly charmed baryons · Introduction · 0.90
What it cites · 13 sentences without a confident label
Contests 2 papers
-
Putting in the overall factors, the renormalized ultra-local vector and axial currents map into WChPT as [equation] In Ref. [ref] , the factors of $Z_V/Z_V^0$ and $Z_A/Z_A^0$ were set to unity, based on an erroneous argument.
Twisted mass chiral perturbation theory at next-to-leading order · Mapping Currents into the Effective Chiral Theory · contest 0.96
-
It turns out, however, that the results on this issue in the literature [ref] are incorrect.
Chiral perturbation theory for the Wilson lattice action · Introduction · contest 0.97
Uses the method or tool of 2 papers
-
For the axial current we impose “$δ_A A∼V$” between pion states [ref]
Chiral symmetry and O(a) improvement in lattice QCD · Currents and Renormalization Conditions · 0.97
-
The mapping is done, following [ref] , in two steps, first from the lattice into the Symanzik effective continuum theory, and from there into the chiral effective theory.
Spontaneous Flavor and Parity Breaking with Wilson Fermions · Mapping Currents into the Effective Chiral Theory · 0.96
Cites as background 2 papers
-
Here GSM stands for generically small quark masses [ref] and LCE for large cut-off effects [ref] .
Pion scattering in Wilson ChPT · Applications · 0.96
-
Here GSM stands for generically small quark masses [ref] and LCE for large cut-off effects [ref] .
Twisted mass chiral perturbation theory at next-to-leading order · Applications · 0.96
Challenges and discussion
Know something about this paper? Leave a comment.
Come back by email
A short list of the week's newly reviewed papers. Nothing is sent until you confirm from your inbox, and every email has a link that stops it. No account.
No comments yet.
Sign in to comment