Putting an Edge to the Poisson Bracket

BERING LARSEN, Klaus. Putting an Edge to the Poisson Bracket. JOURNAL OF MATHEMATICAL PHYSICS. USA: AMER INST PHYSICS, 2000, roč. 2000, č. 41, s. 7468-7500. ISSN 0022-2488. Dostupné z: https://doi.org/10.1063/1.1286144.

Základní údaje

Originální název

Putting an Edge to the Poisson Bracket

Autoři

BERING LARSEN, Klaus

Vydání

JOURNAL OF MATHEMATICAL PHYSICS, USA, AMER INST PHYSICS, 2000, 0022-2488

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Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10303 Particles and field physics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 1.008

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/00:00039890

Organizační jednotka

Přírodovědecká fakulta

DOI

https://doi.org/10.1063/1.1286144

UT WoS

000089990200018

Klíčová slova anglicky

FIELD-THEORY; VARIABLES

Příznaky

Mezinárodní význam, Recenzováno

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Anotace

V originále

We consider a general formalism for treating a Hamiltonian (canonical) field theory with a spatial boundary. In this formalism essentially all functionals are differentiable from the very beginning and hence no improvement terms are needed. We introduce a new Poisson bracket which differs from the usual ``bulk'' Poisson bracket with a boundary term and show that the Jacobi identity is satisfied. The result is geometrized on an abstract world volume manifold. The method is suitable for studying systems with a spatial edge like the ones often considered in Chern-Simons theory and General Relativity. Finally, we discuss how the boundary terms may be related to the time ordering when quantizing.

Česky

We consider a general formalism for treating a Hamiltonian (canonical) field theory with a spatial boundary. In this formalism essentially all functionals are differentiable from the very beginning and hence no improvement terms are needed. We introduce a new Poisson bracket which differs from the usual ``bulk'' Poisson bracket with a boundary term and show that the Jacobi identity is satisfied. The result is geometrized on an abstract world volume manifold. The method is suitable for studying systems with a spatial edge like the ones often considered in Chern-Simons theory and General Relativity. Finally, we discuss how the boundary terms may be related to the time ordering when quantizing.