Renormalization Group and Problem of Radiation

I. M. Sigal

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Renormalization Group and Problem of Radiation

I. M. Sigal

Mathematical Physics · Submitted 17 Oct 2011

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

The authors' main claim We describe the key technique in this area - the spectral renormalization group.

how it is stated · asserted 0.99 read the record →

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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,575 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.16 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.10 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

The standard model of non-relativistic quantum electrodynamics describes non-relativistic quantum matter, such as atoms and molecules, coupled to the quantized electromagnetic field. Within this model, we review basic notions, results and techniques in the theory of radiation. We describe the key technique in this area - the spectral renormalization group. Our review is based on joint works with Volker Bach and Juerg Froehlich and with Walid Abou Salem, Thomas Chen, Jeremy Faupin and Marcel Griesemer. Brief discussion of related contributions is given at the end of these lectures. This review will appear in "Quantum Theory from Small to Large Scales", Lecture Notes of the Les Houches Summer Schools, volume 95, Oxford University Press, 2011. Key words: quantum electrodynamics, photons and electrons, renormalization group, quantum resonances, spectral theory, Schroedinger operators, ground state, quantum dynamics, non-relativistic theory.

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 standard model of non-relativistic quantum electrodynamics describes non-relativistic quantum matter, such as atoms and molecules, coupled to the quantized electromagnetic field.	background 1.00	0.05	0.03	asserted 1.00
s1	Within this model, we review basic notions, results and techniques in the theory of radiation.	contribution 0.67	0.29	0.04	asserted 0.85
s2	We describe the key technique in this area - the spectral renormalization group.	method 0.70	0.35	0.09	asserted 0.99
s3	Our review is based on joint works with Volker Bach and Juerg Froehlich and with Walid Abou Salem, Thomas Chen, Jeremy Faupin and Marcel Griesemer.	background 0.71	0.32	0.02	asserted 0.97
s4	Brief discussion of related contributions is given at the end of these lectures.	background 0.53	0.38	0.02	asserted 0.95
s5	This review will appear in "Quantum Theory from Small to Large Scales", Lecture Notes of the Les Houches Summer Schools, volume 95, Oxford University Press, 2011.	background 0.91	0.09	0.01	asserted 0.93
s6	Key words: quantum electrodynamics, photons and electrons, renormalization group, quantum resonances, spectral theory, Schroedinger operators, ground state, quantum dynamics, non-relativistic theory.	background 0.88	0.04	0.02	unclear 0.93

What kind of paper the classifier reports this is: review 1.00 · evidence from literature 0.96.

What was examined, and what was not

sources read

arXiv listing abstract v2

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 standard model of non-relativistic quantum electrodynamics describes non-relativistic quantum matter, such as atoms and molecules, coupled to the quantized electromagnetic field. Within this model, we review basic notions, results and techniques in the theory of radiation. We describe the key technique in this area - the spectral renormalization group. Our review is based on joint works with Volker Bach and Juerg Froehlich and with Walid Abou Salem, Thomas Chen, Jeremy Faupin and Marcel Griesemer. Brief discussion of related contributions is given at the end of these lectures. This review will appear in "Quantum Theory from Small to Large Scales", Lecture Notes of the Les Houches Summer Schools, volume 95, Oxford University Press, 2011. Key words: quantum electrodynamics, photons and electrons, renormalization group, quantum resonances, spectral theory, Schroedinger operators, ground state, quantum dynamics, non-relativistic theory.

Human review

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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 · 8 sentences without a confident label

Compares with 2 papers

The results of [ref] on existence of the ground state were considerably improved in [ref] (by compactness techniques) and [ref] (by multiscale techniques), with the sharpest result given in [ref] .

Kramers degeneracy theorem in nonrelativistic QED · Comments on Literature · 0.81
The results of [ref] on existence of the ground state were considerably improved in [ref] (by compactness techniques) and [ref] (by multiscale techniques), with the sharpest result given in [ref] .

Existence of Atoms and Molecules in Non-Relativistic Quantum Electrodynamics · Comments on Literature · 0.81

Cites as background 1 paper

The survival probabilities of excited states (see [ref]): [ref] .

On the Lifetime of Quasi-Stationary States in Non-Relativistic QED · Comments on Literature · 0.83

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