All the matrix elements of covariant tensor currents of massless particles in the covariant formulation

Jaehoon Jeong

RECORD

All the matrix elements of covariant tensor currents of massless particles in the covariant formulation

Jaehoon Jeong

High Energy Physics - Phenomenology · Submitted 27 Apr 2023

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

The authors' main claim After showing how to identify fully the discontinuity between the matrix elements for the spacelike and lightlike momentum transfers, we derive all the matrix elements of conserved tensor currents of massless particles including high spins, from which the Weinberg and Witten (WW) theorem is automatically extracted with additional limits on the particles.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

arXiv ID2304.14083 (version 3)

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

CitationJaehoon Jeong. "All the matrix elements of covariant tensor currents of massless particles in the covariant formulation." arXiv:2304.14083 (2023). https://pith.science/paper/KAPOJCMQ

Claim paper

The compiled record

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.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,703 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.33 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; show every role.

We present an efficient algorithm for constructing all the matrix elements of covariant tensor currents of massless particles of arbitrary spins in the covariant formulation. The construction of matrix elements can be taken simply by assembling the basic matrix elements which are derived from the basic three-point vertices. We obtain the selection rules for the decay of an off-shell massive particle into two identical massless particles which are the generalization of the Landau-Yang (LY) theorem. After showing how to identify fully the discontinuity between the matrix elements for the spacelike and lightlike momentum transfers, we derive all the matrix elements of conserved tensor currents of massless particles including high spins, from which the Weinberg and Witten (WW) theorem is automatically extracted with additional limits on the particles.

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 present an efficient algorithm for constructing all the matrix elements of covariant tensor currents of massless particles of arbitrary spins in the covariant formulation.	contribution 1.00	0.95	0.45	asserted 1.00
s1	The construction of matrix elements can be taken simply by assembling the basic matrix elements which are derived from the basic three-point vertices.	method 0.99	0.67	0.09	asserted 0.77
s2	We obtain the selection rules for the decay of an off-shell massive particle into two identical massless particles which are the generalization of the Landau-Yang (LY) theorem.	result 0.96	0.94	0.18	asserted 1.00
s3	After showing how to identify fully the discontinuity between the matrix elements for the spacelike and lightlike momentum transfers, we derive all the matrix elements of conserved tensor currents of massless particles including high spins, from which the Weinberg and Witten (WW) theorem is automatically extracted with additional limits on the particles.	result 0.73	0.94	0.30	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.91 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read

arXiv listing abstract v3

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

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 present an efficient algorithm for constructing all the matrix elements of covariant tensor currents of massless particles of arbitrary spins in the covariant formulation. The construction of matrix elements can be taken simply by assembling the basic matrix elements which are derived from the basic three-point vertices. We obtain the selection rules for the decay of an off-shell massive particle into two identical massless particles which are the generalization of the Landau-Yang (LY) theorem. After showing how to identify fully the discontinuity between the matrix elements for the spacelike and lightlike momentum transfers, we derive all the matrix elements of conserved tensor currents of massless particles including high spins, from which the Weinberg and Witten (WW) theorem is automatically extracted with additional limits on the particles.

Human review

How Pith checks papers → · Full audit of this paper →

How the literature uses it

What this paper does with the arXiv papers it cites

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

What it cites · 15 sentences without a confident label

Builds on 1 paper

It is an extension to the selection rules [ref] for the decays of an on-shell particle into two identical massless particles of any spin.

Selection rules for the decay of a particle into two identical massless particles of any spin · Vertices of a massive and two identical massless particles · 1.00

Uses the method or tool of 1 paper

As in the basic operators, the collections of the momenta and metric tensors are expressed in a compact operator form [ref] ,

Weaving the covariant three-point vertices efficiently · Form-factor operators · 0.89

Cites as background 5 papers

We in passing note that there are other powerful approaches in obtaining the covariant tensor currents [ref] .

Covariant multipole expansion of local currents for massive states of any spin · Introduction · 0.88
The Standard Model (SM) with the symmetry-broken electroweak sector [ref] has been completed after the discovery of the Higgs boson at the Large Hadron Collider (LHC) [ref] .

Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC · Introduction · 0.98
Despite the great success of the SM, we are now encountering various unsolved problems in the SM such as dark matter [ref] , neutrino oscillation [ref] , and matter-antimatter asymmetry [ref] .

Particle Dark Matter: Evidence, Candidates and Constraints · Introduction · 0.82

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.