Spacetime boundaries do not break diffeomorphism and gauge symmetries

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00144633" target="_blank" >RIV/00216224:14310/25:00144633 - isvavai.cz</a>

Výsledek na webu

<a href="https://journals.aps.org/prd/abstract/10.1103/pwv6-tg7n" target="_blank" >https://journals.aps.org/prd/abstract/10.1103/pwv6-tg7n</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/pwv6-tg7n" target="_blank" >10.1103/pwv6-tg7n</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Spacetime boundaries do not break diffeomorphism and gauge symmetries

Popis výsledku v původním jazyce

In general relativity and gauge field theory, one often encounters a claim, which may be called the boundary problem, according to which "boundaries break diffeomorphism and gauge symmetries". We argue that this statement has the same conceptual structure as the hole argument, and is thus likewise defused by the point-coincidence argument: We show that the boundary problem dissolves once it is understood that a physical region, thus its boundary, is relationally and invariantly defined. This insight can be technically implemented via the dressing field method, a systematic tool to exhibit the gauge-invariant content of general-relativistic gauge field theories, whereby physical field-theoretical degrees of freedom co-define each other and define, coordinatize, the physical spacetime. We illustrate our claim with a simple application to the case of general relativity.

Název v anglickém jazyce

Spacetime boundaries do not break diffeomorphism and gauge symmetries

Popis výsledku anglicky

In general relativity and gauge field theory, one often encounters a claim, which may be called the boundary problem, according to which "boundaries break diffeomorphism and gauge symmetries". We argue that this statement has the same conceptual structure as the hole argument, and is thus likewise defused by the point-coincidence argument: We show that the boundary problem dissolves once it is understood that a physical region, thus its boundary, is relationally and invariantly defined. This insight can be technically implemented via the dressing field method, a systematic tool to exhibit the gauge-invariant content of general-relativistic gauge field theories, whereby physical field-theoretical degrees of freedom co-define each other and define, coordinatize, the physical spacetime. We illustrate our claim with a simple application to the case of general relativity.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10100 - Mathematics

Projekt

<a href="/cs/project/GA24-10887S" target="_blank" >GA24-10887S: Cartanovy supergeometrie a vyšší Cartanovy geometrie</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

PHYSICAL REVIEW D

ISSN

2470-0010

e-ISSN

2470-0029

Svazek periodika

112

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

12

Strana od-do

1-12

Kód UT WoS článku

001651639600002

EID výsledku v databázi Scopus

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