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://dx.doi.org/10.1063/1.1286144.

Základní údaje

• Originální název: Putting an Edge to the Poisson Bracket
• Autoři: BERING LARSEN, Klaus (208 Dánsko, garant, domácí).
• Vydání: JOURNAL OF MATHEMATICAL PHYSICS, USA, AMER INST PHYSICS, 2000, 0022-2488.

Další údaje

• Originální 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
• WWW: URL
• Impakt faktor: Impact factor: 1.008
• Kód RIV: RIV/00216224:14310/00:00039890
• Organizační jednotka: Přírodovědecká fakulta
• Doi: http://dx.doi.org/10.1063/1.1286144
• UT WoS: 000089990200018
• Klíčová slova anglicky: FIELD-THEORY; VARIABLES
• Příznaky: Mezinárodní význam, Recenzováno

Anotace

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.

Anotace 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.