Topologically inequivalent quantizations

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Topologically inequivalent quantizations

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Topologically inequivalent quantizations

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Annals of Physics

ISSN

0003-4916

e-ISSN

—

Svazek periodika

434

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

18

Strana od-do

168641

Kód UT WoS článku

000709903600005

EID výsledku v databázi Scopus

2-s2.0-85117087703