Anomalous Commutator Algebra for Conformal Quantum Mechanics

Carlos Gorrichategui; Carlos R. Ordonez; Ernesto Hernadez; Gino N. J. Ananos; Horacio E. Camblong

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Anomalous Commutator Algebra for Conformal Quantum Mechanics

Gino N. J. Ananos, Horacio E. Camblong, Carlos Gorrichategui, Ernesto Hernadez, Carlos R. Ordonez

High Energy Physics - Theory · Submitted 19 May 2002

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

The authors' main claim Specifically, it is shown that the emergence of a dimensional scale by renormalization implies the existence of an anomaly or quantum-mechanical symmetry breaking, which is explicitly displayed at the level of the generators of the SO(2,1) conformal group.

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arXiv IDhep-th/0205191 (version 3)

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CitationCarlos Gorrichategui, Carlos R. Ordonez, Ernesto Hernadez, Gino N. J. Ananos, Horacio E. Camblong. "Anomalous Commutator Algebra for Conformal Quantum Mechanics." arXiv:hep-th/0205191 (2002). https://pith.science/paper/A6DXWWHG

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.04 · mentions code or data availability 0.01.

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

The structure of the commutator algebra for conformal quantum mechanics is considered. Specifically, it is shown that the emergence of a dimensional scale by renormalization implies the existence of an anomaly or quantum-mechanical symmetry breaking, which is explicitly displayed at the level of the generators of the SO(2,1) conformal group. Correspondingly, the associated breakdown of the conservation of the dilation and special conformal charges is derived.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The structure of the commutator algebra for conformal quantum mechanics is considered.	background 0.75	0.37	0.03	unclear 0.75
s1	Specifically, it is shown that the emergence of a dimensional scale by renormalization implies the existence of an anomaly or quantum-mechanical symmetry breaking, which is explicitly displayed at the level of the generators of the SO(2,1) conformal group.	result 0.90	0.90	0.85	asserted 1.00
s2	Correspondingly, the associated breakdown of the conservation of the dilation and special conformal charges is derived.	result 0.98	0.89	0.19	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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arXiv listing abstract v3

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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

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Original abstract

The structure of the commutator algebra for conformal quantum mechanics is considered. Specifically, it is shown that the emergence of a dimensional scale by renormalization implies the existence of an anomaly or quantum-mechanical symmetry breaking, which is explicitly displayed at the level of the generators of the SO(2,1) conformal group. Correspondingly, the associated breakdown of the conservation of the dilation and special conformal charges is derived.

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4 arXiv papers cite this in 6 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

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See also [ref] .

Mixed States from Anomalies · Introduction · 0.80
Another series of earlier works on conformal quantum mechanics (and more generally on systems with long-range inverse square interaction and SO$(2,1)$ symmetry) can also be found in [ref] .

Proper time reparametrization in cosmology: Mobius symmetry and Kodama charges · Mapping on the conformal particle · 1.00

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