Classical Field Theories from Hamiltonian Constraint: Local Symmetries and Static Gauge Fields

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00328297" target="_blank" >RIV/68407700:21340/18:00328297 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007%2Fs00006-018-0865-8" target="_blank" >https://link.springer.com/article/10.1007%2Fs00006-018-0865-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00006-018-0865-8" target="_blank" >10.1007/s00006-018-0865-8</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Classical Field Theories from Hamiltonian Constraint: Local Symmetries and Static Gauge Fields

Popis výsledku v původním jazyce

We consider the Hamiltonian constraint formulation of classical field theories, which treats spacetime and the space of fields symmetrically, and utilizes the concept of momentum multivector. The gauge field is introduced to compensate for non-invariance of the Hamiltonian under local transformations. It is a position-dependent linear mapping, which couples to the Hamiltonian by acting on the momentum multivector. We investigate symmetries of the ensuing gauged Hamiltonian, and propose a generic form of the gauge field strength. In examples we show how a generic gauge field can be specialized in order to realize gravitational and/or Yang-Mills interaction. Gauge field dynamics is not discussed in this article. Throughout, we employ the mathematical language of geometric algebra and calculus.

Název v anglickém jazyce

Classical Field Theories from Hamiltonian Constraint: Local Symmetries and Static Gauge Fields

Popis výsledku anglicky

We consider the Hamiltonian constraint formulation of classical field theories, which treats spacetime and the space of fields symmetrically, and utilizes the concept of momentum multivector. The gauge field is introduced to compensate for non-invariance of the Hamiltonian under local transformations. It is a position-dependent linear mapping, which couples to the Hamiltonian by acting on the momentum multivector. We investigate symmetries of the ensuing gauged Hamiltonian, and propose a generic form of the gauge field strength. In examples we show how a generic gauge field can be specialized in order to realize gravitational and/or Yang-Mills interaction. Gauge field dynamics is not discussed in this article. Throughout, we employ the mathematical language of geometric algebra and calculus.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

<a href="/cs/project/GA14-07983S" target="_blank" >GA14-07983S: Struktura vakua v kvantově polních teoriích</a><br>

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

ADVANCES IN APPLIED CLIFFORD ALGEBRAS

ISSN

0188-7009

e-ISSN

1661-4909

Svazek periodika

28

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

27

Strana od-do

—

Kód UT WoS článku

000431523800003

EID výsledku v databázi Scopus

2-s2.0-85046003168