Generalized Chiral Perturbation Theory

J. Stern; M. Knecht

RECORD

Generalized Chiral Perturbation Theory

M. Knecht, J. Stern

High Energy Physics - Phenomenology · Submitted 9 Nov 1994

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

The authors' main claim In this way, experimental tests of the foundations of the standard $\chi$PT become possible.

how it is stated · hedged possibility 0.67 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,934 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.23 · human participants 0.02 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.45 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The Generalized Chiral Perturbation Theory enlarges the framework of the standard $\chi$PT, relaxing certain assumptions which do not necessarily follow from QCD or from experiment, and which are crucial for the usual formulation of the low energy expansion. In this way, experimental tests of the foundations of the standard $\chi$PT become possible. Emphasis is put on physical aspects rather than on formal developements of G$\chi$PT.

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	The Generalized Chiral Perturbation Theory enlarges the framework of the standard $\chi$PT, relaxing certain assumptions which do not necessarily follow from QCD or from experiment, and which are crucial for the usual formulation of the low energy expansion.	contribution 0.96	0.58	0.29	asserted 1.00
s1	In this way, experimental tests of the foundations of the standard $\chi$PT become possible.	interpretation 0.75	0.14	0.19	hedged possibility 0.67
s2	Emphasis is put on physical aspects rather than on formal developements of G$\chi$PT.	contribution 0.40	0.54	0.08	asserted 0.96

What kind of paper the classifier reports this is: method or tool 0.68 · evidence from argument 0.98.

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

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

The Generalized Chiral Perturbation Theory enlarges the framework of the standard $\chi$PT, relaxing certain assumptions which do not necessarily follow from QCD or from experiment, and which are crucial for the usual formulation of the low energy expansion. In this way, experimental tests of the foundations of the standard $\chi$PT become possible. Emphasis is put on physical aspects rather than on formal developements of G$\chi$PT.

Human review

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

References

Forward citations

Cited by 8 Pith papers

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

Massive fermions without fermion bilinear condensates
hep-lat 2014-10 conditional novelty 6.0 of 10

Monte Carlo simulations of a two-flavor staggered fermion model in three dimensions show a direct second-order transition between a massless phase and a massive phase with no fermion bilinear condensate.
The anomalous chiral Lagrangian of order $p^6$
hep-ph 2001-10 accept novelty 6.0 of 10

The minimal set of operators for the odd-parity chiral Lagrangian at order p6 is 24 for general Nf, 23 for three flavours, and 13 for two flavours when a singlet vector field is included.
Resonance estimates of O(p^6) low-energy constants and QCD short-distance constraints
hep-ph 2001-06 accept novelty 6.0 of 10

Within a single-resonance large-N_C approximation, the authors determine several O(p^6) chiral low-energy constants and show that the standard resonance Lagrangian fails QCD short-distance constraints, shifting some c...
N_f Dependence of the Quark Condensate from a Chiral Sum Rule
hep-ph 1999-09 conditional novelty 6.0 of 10

A chiral sum rule built from experimental pion-kaon scattering data yields L6 between 0.4 and 0.8 times 10^-3, implying the quark condensate drops by roughly a factor of two as the strange quark mass goes to zero.
Chiral Effective Lagrangian in the large-Nc limit: the nonet case
hep-ph 1996-10 accept novelty 6.0 of 10

The authors construct the most general U(3) x U(3) chiral lagrangian up to four derivatives and compute its one-loop renormalization, finding that the singlet eta-prime mass is infinitely renormalized while the octet ...

Show 3 more citing papers

Modelling vector-like quarks in partial compositeness framework
hep-ph 2022-01 conditional novelty 5.0 of 10

In a specific SU(5)/SO(5) partial-compositeness model, the lightest top partners decay dominantly to a top quark plus a pseudoscalar that decays to two photons, giving a t+gamma+gamma LHC signal of order 1 to 2 femtobarns.
The phase diagram of nuclear and quark matter at high baryon density
hep-ph 2013-01 conditional novelty 3.0 of 10

The review argues that a third regime, quarkyonic matter, sits between confined nuclear matter and deconfined quark matter in large-Nc QCD, with pressure scaling as O(Nc).
Chiral perturbation theory
hep-ph 1995-01 accept novelty 2.0 of 10

A comprehensive 1994 survey showing that the chiral expansion organizes low-energy meson and baryon data, with predictive power bounded by roughly ten to a hundred fitted low-energy constants.

How the literature uses it

8 arXiv papers cite this in 13 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 citing it · 9 sentences without a confident label

Compares with it 1 paper

Note however that Ref. [ref] retains nonzero chiral condensate whereas we put it to zero exactly as a consequence of the $(_K)_A$ symmetry.] As for the pion mass, [ref] and [ref] imply $m_π∝M$ [ref] , in contradistinction to the conventional picture where $m_π^2∝M$.

Chiral symmetry breaking with no bilinear condensate revisited · Massive quarks · 0.83

Cites it as background 2 papers

At zero temperature and density, an alternative pattern of spontaneous chiral symmetry breaking was suggested in the context of QCD [ref] .

Enhancement of quark number susceptibility with an alternative pattern of chiral symmetry breaking in dense matter · Introduction · 0.85
An alternative way of chiral power counting for $N_f=3$ is the generalized $χPT$ ($GχPT$) [ref] , originally designed to treat the scenario with small quark condensate $X(3)$$≪$1 and to take the quark mass ratio $r$ as a free parameter.

Pi-eta scattering and the resummation of vacuum fluctuation in three-flavour ChPT · Introduction · 0.92

Discussion

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