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May
5
answered Why does work equal force times distance?
Apr
29
comment Poincare Symmetry in QFT
To clarify: I am perfectly happy to accept that since space is almost flat, we can approximately neglect curvature. Similiarly how one can demonstrate that GR gives back Newtonian gravity in suitable limit. But in all other cases I know how to argue that these effects can be neglected, whereas in QFT some of the standard constructions seem to depend on the global structure of spacetime. This belief might be completely misguided, but I do want to understand why.
Apr
29
comment Poincare Symmetry in QFT
What I am really trying to understand is how the usual constructions can be sensible, although they do not exist in curved space (for example the S-Matrix). What is more, as I understood Poincare symmetry so far, it is a symmetry of an affine Space. I would expect translations to correspond to parallel transport along geodesics. To identify that with translations in the tangent space seems artificial. Some problems with QFT in curved space are outlined in: Christian Bär, Klaus Fredenhagen (Editors) Quantum Field Theory on Curved Spacetimes: Concepts and Mathematical Foundations
Apr
25
awarded  Supporter
Apr
22
comment Poincare Symmetry in QFT
Thank you for your answer. I do not understand your answer to my first question however. Do you mean by topological trivial, that it can be covered by a single coordinate chart? In that case you can certainly pull back the action of the poincare group, but this does not seem to yield a very geometric action. I thought that the right generalization was to consider the levi-civita connection, which at least gives you infitesimal translations. In any case we cannot apriori assume that spacetime is topological trivial.
Apr
22
comment Poincare Symmetry in QFT
My question is about neither, I want to understand QFT in a curved background. I will try to edit my question to clarify that.
Apr
21
asked Poincare Symmetry in QFT
Apr
10
answered Is the Lagrangian of a quantum field really a 'functional'?
Apr
8
answered Could motives aid in the study of the Navier-Stokes equations?
Apr
7
revised Why does string theory (in case it is true ) have NO divergencies?
Expanded Answer and added Reference.
Mar
22
asked Spectrum of Free Strings
Mar
12
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Mar
12
answered Why does string theory (in case it is true ) have NO divergencies?
Mar
10
answered Connection between Poisson Brackets and Symplectic Form
Mar
10
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Mar
10
awarded  Editor
Mar
10
revised Spectrum of Free Strings
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Mar
9
asked Spectrum of Free Strings