Time operator in string theory

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  • #1
atyy
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In covariant quantization of the string, say as in David Tong's http://arxiv.org/abs/0908.0333 (p28), time is an operator.

Is the time operator Hermitian, and does it correspond to an observable?
 

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  • #2
tom.stoer
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This time operator is something like a local field operator defined on the world sheet. It can't be an observable b/c it's subject to (unphysical) local symmetries and related constraints.
 
  • #3
Demystifier
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This time operator is something like a local field operator defined on the world sheet. It can't be an observable b/c it's subject to (unphysical) local symmetries and related constraints.
But it is still an operator on an extended unconstrained space, containing the physical constrained space as a subspace.

For some applications of this idea see e.g.
http://arxiv.org/abs/hep-th/0702060
especially Sec. 5.2.
 

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