Topologically inequivalent quantizations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10439639" target="_blank" >RIV/00216208:11320/21:10439639 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=wZ3QfL41Se" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=wZ3QfL41Se</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aop.2021.168641" target="_blank" >10.1016/j.aop.2021.168641</a>

Result language
angličtina
Original language name
Topologically inequivalent quantizations
Original language description
We discuss the representations of the algebra of quantization, the canonical commutation relations, in a scalar quantum field theory with spontaneously broken U(1) internal symmetry, when a topological defect of the vortex type is formed via the con-densation of Nambu-Goldstone particles. We find that the usual thermodynamic limit is not necessary in order to have the in-equivalent representations needed for the existence of physically disjoint, stable phases of the system. This points to a novel no-tion of spontaneous symmetry breaking, one where the volume can stay finite, an instance that makes our treatment substan-tially different from the usual semiclassical (NOLGA) approach to vortices. This new type of inequivalence is different from the well-known inequivalence occurring for the quantum particle on the circle. We finally comment on possible applications to quantum gravity. (c) 2021 Elsevier Inc. All rights reserved.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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