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arxiv: hep-th/9305140 · v1 · submitted 1993-05-25 · ✦ hep-th

A symplectic structure for the space of quantum field theories

classification ✦ hep-th
keywords spacestructureformalsymplecticalgebraicassociatedcoadjointcommutators
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We use the formal Lie algebraic structure in the ``space'' of hamiltonians provided by equal time commutators to define a Kirillov-Konstant symplectic structure in the coadjoint orbits of the associated formal group. The dual is defined via the natural pairing between operators and states in a Hilbert space.

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