For spacetimes with the topology Image , the action of (2+1)-dimensional gravity with negative cosmological constant Λ is written uniquely in terms of the time-independent traces of holonomies around two intersecting noncontractible paths on T2. The holonomy parameters are related to the moduli on slices of constant mean curvature by a time-dependent canonical transformation which introduces an effective Hamiltonian. The quantisation of the two classically equivalent formulations differs by terms of order O(ħ3), negligible for small |Λ|.

Equivalent quantisations of (2+1)-dimensional gravity

NELSON, Jeanette Ethel
1994-01-01

Abstract

For spacetimes with the topology Image , the action of (2+1)-dimensional gravity with negative cosmological constant Λ is written uniquely in terms of the time-independent traces of holonomies around two intersecting noncontractible paths on T2. The holonomy parameters are related to the moduli on slices of constant mean curvature by a time-dependent canonical transformation which introduces an effective Hamiltonian. The quantisation of the two classically equivalent formulations differs by terms of order O(ħ3), negligible for small |Λ|.
1994
324
299
302
http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVN-47DD39K-4S&_user=525216&_coverDate=04%2F07%2F1994&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235539%231994%23996759996%23369325%23FLP%23display%23Volume)&_cdi=5539&_sort=d&_docanchor=&_ct=45&_acct=C000026382&_version=1&_urlVersion=0&_userid=525216&md5=9575009864944c70e96ab0aa4a18fdac
S. CARLIP; J. E. NELSON
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/60510
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 26
  • ???jsp.display-item.citation.isi??? 21
social impact