QFT on quantum spacetime: a compatible classical framework (Tux ...

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QFT on quantum spacetime: a compatible classical framework (Tux ...

ong>QFTong> on

quantum

spacetime

AD, JL, JP

motivation

full theory,

full reduction

again full

constraints to

1st order

physical

phase space

Define

comment on M-S variables

Q(k) := δ ˘T(k), P(k) := δ˘pT(k) − κπα

2 δ ˘T(k)

In terms of these variables, HT k looks like

H T

k

= −


6

κ(π τ α) 2


1

2 P(k)2 + 1

2 e4ατk

2 Q(k) 2


Q and P are nothing but M-S variables: commute with linearized constraints

E, M, V, W ⇒ are called the gauge-invariant dof’s of the scalar sector.