J 2000

Putting an Edge to the Poisson Bracket

BERING LARSEN, Klaus

Basic information

Original name

Putting an Edge to the Poisson Bracket

Authors

BERING LARSEN, Klaus (208 Denmark, guarantor, belonging to the institution)

Edition

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

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10303 Particles and field physics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 1.008

RIV identification code

RIV/00216224:14310/00:00039890

Organization unit

Faculty of Science

DOI

UT WoS

000089990200018

Keywords in English

FIELD-THEORY; VARIABLES

Tags

International impact, Reviewed
Změněno: 17/3/2019 17:13, doc. Klaus Bering Larsen, Ph.D.

Abstract

ORIG CZ

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.

In Czech

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.