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 language | English (US) |
|---|---|
| Pages (from-to) | 824-827 |
| Number of pages | 4 |
| Journal | Journal of Mathematical Physics |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jan 1 1986 |
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All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
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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 journal › Article
TY - JOUR
T1 - A note on helicity and self-duality
AU - Ashtekar, Abhay
PY - 1986/1/1
Y1 - 1986/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0345851994&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0345851994&partnerID=8YFLogxK
U2 - 10.1063/1.527187
DO - 10.1063/1.527187
M3 - Article
AN - SCOPUS:0345851994
VL - 27
SP - 824
EP - 827
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
SN - 0022-2488
IS - 3
ER -