High Energy Physics - Phenomenology · arXiv:1101.5906 v1 · submitted 31 Jan 2011
Bi-local baryon interpolating fields with two flavours
The paper says
“Thus we derive the independent baryon interpolating fields with given values of spin (Lorentz group representation), chiral symmetry (UL(2) × UR(2) group representation) and isospin appropriate for the first angular excited states of the nucleon.”
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 construct bi-local interpolating field operators for baryons consisting of three quarks with two flavors, assuming good isospin symmetry. We use the restrictions following from the Pauli principle to derive relations/identities among the baryon operators with identical quantum numbers. Such relations that follow from the combined spatial, Dirac, color, and isospin Fierz transformations may be called the (total/complete) Fierz identities. These relations reduce the number of independent baryon operators with any given spin and isospin. We also study the Abelian and non-Abelian chiral transformation properties of these fields and place them into baryon chiral multiplets. Thus we derive the independent baryon interpolating fields with given values of spin (Lorentz group representation), chiral symmetry (UL(2) × UR(2) group representation) and isospin appropriate for the first angular excited states of the nucleon.
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 1.00
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.28 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.04 · 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 construct bi-local interpolating field operators for baryons consisting of three quarks with two flavors, assuming good isospin symmetry. | contribution 0.99 | 0.95 | 0.07 | asserted 1.00 |
| We use the restrictions following from the Pauli principle to derive relations/identities among the baryon operators with identical quantum numbers. | method 0.92 | 0.95 | 0.07 | asserted 1.00 |
| Such relations that follow from the combined spatial, Dirac, color, and isospin Fierz transformations may be called the (total/complete) Fierz identities. | interpretation 0.59 | 0.50 | 0.08 | hedged possibility 0.97 |
| These relations reduce the number of independent baryon operators with any given spin and isospin. | result 0.91 | 0.77 | 0.19 | asserted 1.00 |
| We also study the Abelian and non-Abelian chiral transformation properties of these fields and place them into baryon chiral multiplets. | contribution 0.90 | 0.95 | 0.08 | asserted 1.00 |
| Thus we derive the independent baryon interpolating fields with given values of spin (Lorentz group representation), chiral symmetry ($U_L(2) \times U_R(2)$ group representation) and isospin appropriate for the first angular excited states of the nucleon. | result 0.84 | 0.96 | 0.74 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 1.00
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, 4,955 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
Cited by 1 Pith paper
Reviewed papers on Pith that cite this one. The full citation record
- An updated review of the new hadron states hep-ph · Apr 2022
How the literature uses it
3 arXiv papers cite this in 3 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 2 papers
-
We review the transformation properties of diquark and baryon interpolation operators [ref] .
Emergent Hadrons and Diquarks · Transformation properties of diquark and baryon interpolation operators · 0.96
-
Interested readers may consult Refs. [ref] for a systematical study on chiral properties of the light baryon and tetraquark fields.
An updated review of the new hadron states · Flavor structure. · 0.99
What it cites · 12 sentences without a confident label
Builds on 2 papers
-
We have shown in Ref. [ref] that the Fierz identities among local baryon operators also determine their chiral multiplet structure and shall show here that the same holds for bi-local fields.
Chiral Properties of Baryon Interpolating Fields · Introduction · 0.89
-
We have shown in Ref. [ref] that the Fierz identities among local baryon operators also determine their chiral multiplet structure and shall show here that the same holds for bi-local fields.
$\pi N$ and $\pi\pi N$ Couplings of the $\Delta(1232)$ and its Chiral Partners · Introduction · 0.89
Cites as background 2 papers
-
The properties of interpolating fields, such as their Fierz identities [ref] and chiral properties [ref] have been explored in detail only in the lower spin and local operator limit, whereas the study of higher spin fields has only recently begun, and that exclusively on the discrete space-time lattice(s), see e.g. Ref. [ref] ; the higher spin fields in the continuum space-time have not been dealt with, as yet, to our knowledge.
Baryon Fields with U_L(3) \times U_R(3) Chiral Symmetry: Axial Currents of Nucleons and Hyperons · Introduction · 0.89
-
The properties of interpolating fields, such as their Fierz identities [ref] and chiral properties [ref] have been explored in detail only in the lower spin and local operator limit, whereas the study of higher spin fields has only recently begun, and that exclusively on the discrete space-time lattice(s), see e.g. Ref. [ref] ; the higher spin fields in the continuum space-time have not been dealt with, as yet, to our knowledge.
Clebsch-Gordan Construction of Lattice Interpolating Fields for Excited Baryons · Introduction · 0.89
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