Gravity and BF theory defined in bounded regions

Authors

V. Husain
Seth Major, Hamilton CollegeFollow

Type of Work

Article

Date

9-1997

Journal Title

Nuclear Physics B

Journal ISSN

0550-3213

Journal Volume

500

Journal Issue

1-3

First Page

381

Last Page

401

DOI

10.1016/S0550-3213(97)00371-4

Abstract

We study Einstein gravity in a finite spatial region. By requiring a well-defined variational principle, we identify all local boundary conditions, derive surface observables, and compute their algebra. The observables arise as induced surface terms, which contribute to a non-vanishing Hamiltonian. Unlike the asymptotically flat case, we find that there are an infinite number of surface observables. We give a similar analysis for SU(2) BF theory.

Citation Information

Husain, V. and Major, Seth, "Gravity and BF theory defined in bounded regions" (1997). Hamilton Digital Commons.
https://digitalcommons.hamilton.edu/articles/191

Notes

This document is the publisher's version of an article published in:

Nuclear Physics B., vol. 500, no. 1-3 (1997): 381-401. doi: 10.1016/S0550-3213(97)00371-4

Hamilton Areas of Study

Physics