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CCCC – p. 17
Deformed deformations
−→ Inverse-triad corrections in Hamiltonian
1
16πG
∫
d 3 xNα ǫ ijkF i ab Ea j Eb k
√
|detE|
+···
−→ Poisson-bracket algebra modified.
Deform but do not violate covariance:
{D[w a 1],D[w a 2]} = −D[L w2 w a 1]
{H[N],D[w a ]} = −H[w a ∇ a N]
{H[N 1 ],H[N 2 ]} = D[α 2 h ab (N 1 ∇ b N 2 −N 2 ∇ b N 1 )]
[with G Hossain, M Kagan, S Shankaranarayanan: arXiv:0806.3929]