Abstract

It is pointed out that, even if restricted to only self-dual (or anti-self-dual) fields, photon and linearized graviton states of both helicities can be constructed by dropping the restriction to positive-frequency fields. Consequently, contrary to the usual belief, it may not be necessary to work with both self-dual and anti-self-dual fields to obtain the Hilbert space of all quantum states in full quantum gravity.

Original languageEnglish (US)
Pages (from-to)824-827
Number of pages4
JournalJournal of Mathematical Physics
Volume27
Issue number3
DOIs
StatePublished - Jan 1 1986

Fingerprint

Self-duality
Helicity
gravitons
Hilbert space
constrictions
gravitation
photons
Quantum Gravity
Quantum State
Photon
Restriction
Necessary

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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abstract = "It is pointed out that, even if restricted to only self-dual (or anti-self-dual) fields, photon and linearized graviton states of both helicities can be constructed by dropping the restriction to positive-frequency fields. Consequently, contrary to the usual belief, it may not be necessary to work with both self-dual and anti-self-dual fields to obtain the Hilbert space of all quantum states in full quantum gravity.",
author = "Abhay Ashtekar",
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A note on helicity and self-duality. / Ashtekar, Abhay.

In: Journal of Mathematical Physics, Vol. 27, No. 3, 01.01.1986, p. 824-827.

Research output: Contribution to journalArticle

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