The Ongoing Impact of Modular Localization on Particle Theory
Modular localization is the concise conceptual formulation of causal localization in the setting of local quantum physics. Unlike QM it does not refer to individual operators but rather to ensembles of observables which share the same localization region, as a result it explains the probabilistic as...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2014 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2014
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146615 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The Ongoing Impact of Modular Localization on Particle Theory / B. Schroer // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 78 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146615 |
|---|---|
| record_format |
dspace |
| spelling |
Schroer, B. 2019-02-10T10:04:45Z 2019-02-10T10:04:45Z 2014 The Ongoing Impact of Modular Localization on Particle Theory / B. Schroer // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 78 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 47L15; 81P05; 81P40; 81R40; 81T05; 81T40 DOI:10.3842/SIGMA.2014.085 https://nasplib.isofts.kiev.ua/handle/123456789/146615 Modular localization is the concise conceptual formulation of causal localization in the setting of local quantum physics. Unlike QM it does not refer to individual operators but rather to ensembles of observables which share the same localization region, as a result it explains the probabilistic aspects of QFT in terms of the impure KMS nature arising from the local restriction of the pure vacuum. Whereas it played no important role in the perturbation theory of low spin particles, it becomes indispensible for interactions which involve higher spin s≥1 fields, where is leads to the replacement of the operator (BRST) gauge theory setting in Krein space by a new formulation in terms of stringlocal fields in Hilbert space. The main purpose of this paper is to present new results which lead to a rethinking of important issues of the Standard Model concerning massive gauge theories and the Higgs mechanism. We place these new findings into the broader context of ongoing conceptual changes within QFT which already led to new nonperturbative constructions of models of integrable QFTs. It is also pointed out that modular localization does not support ideas coming from string theory, as extra dimensions and Kaluza-Klein dimensional reductions outside quasiclassical approximations. Apart from hologarphic projections on null-surfaces, holograhic relations between QFT in different spacetime dimensions violate the causal completeness property, this includes in particular the Maldacena conjecture. Last not least, modular localization sheds light onto unsolved problems from QFT's distant past since it reveals that the Einstein-Jordan conundrum is really an early harbinger of the Unruh effect. I am indebted to Bernard Kay for informing me about his attempts to solve the imbalance in the Maldacena conjecture by adding external degrees of freedom [35]. My thanks go also to Raymond Stora for explaining some aspects of BRST perturbation theory of Yang–Mills fields and for taking much interest in the SLF Hilbert space setting. I am indebted to Jens Mund for making his as yet unpublished work on problems of string-localization available. Last not least I thank the referees of my paper; without their constructive help it would not have reached its present form. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Ongoing Impact of Modular Localization on Particle Theory Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The Ongoing Impact of Modular Localization on Particle Theory |
| spellingShingle |
The Ongoing Impact of Modular Localization on Particle Theory Schroer, B. |
| title_short |
The Ongoing Impact of Modular Localization on Particle Theory |
| title_full |
The Ongoing Impact of Modular Localization on Particle Theory |
| title_fullStr |
The Ongoing Impact of Modular Localization on Particle Theory |
| title_full_unstemmed |
The Ongoing Impact of Modular Localization on Particle Theory |
| title_sort |
ongoing impact of modular localization on particle theory |
| author |
Schroer, B. |
| author_facet |
Schroer, B. |
| publishDate |
2014 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
Modular localization is the concise conceptual formulation of causal localization in the setting of local quantum physics. Unlike QM it does not refer to individual operators but rather to ensembles of observables which share the same localization region, as a result it explains the probabilistic aspects of QFT in terms of the impure KMS nature arising from the local restriction of the pure vacuum. Whereas it played no important role in the perturbation theory of low spin particles, it becomes indispensible for interactions which involve higher spin s≥1 fields, where is leads to the replacement of the operator (BRST) gauge theory setting in Krein space by a new formulation in terms of stringlocal fields in Hilbert space. The main purpose of this paper is to present new results which lead to a rethinking of important issues of the Standard Model concerning massive gauge theories and the Higgs mechanism. We place these new findings into the broader context of ongoing conceptual changes within QFT which already led to new nonperturbative constructions of models of integrable QFTs. It is also pointed out that modular localization does not support ideas coming from string theory, as extra dimensions and Kaluza-Klein dimensional reductions outside quasiclassical approximations. Apart from hologarphic projections on null-surfaces, holograhic relations between QFT in different spacetime dimensions violate the causal completeness property, this includes in particular the Maldacena conjecture. Last not least, modular localization sheds light onto unsolved problems from QFT's distant past since it reveals that the Einstein-Jordan conundrum is really an early harbinger of the Unruh effect.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146615 |
| citation_txt |
The Ongoing Impact of Modular Localization on Particle Theory / B. Schroer // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 78 назв. — англ. |
| work_keys_str_mv |
AT schroerb theongoingimpactofmodularlocalizationonparticletheory AT schroerb ongoingimpactofmodularlocalizationonparticletheory |
| first_indexed |
2025-12-07T17:03:22Z |
| last_indexed |
2025-12-07T17:03:22Z |
| _version_ |
1850869811829014528 |