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Does it make sense to speak of amplitudes of finite closed boundaries in QFT?

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A example of amplitude in Relativistic Quantum Mechanics or specifically in QFT is the amplitude of a field configuration on a space-like hyper-surface of space-time to "lead" to another field configuration on another space-like hyper-surface of space-time. In the path-integral picture one simply integrates over all possible field configurations on the interior, giving each a weight in the normal way. Now if one wants to generalize this to finite closed boundaries, we would get an amplitude for each field configuration on a finite closed boundary of space-time. but how would we interpret this? This question relates to interpretations of quantum mechanics, has anyone investigated this line ?

This post has been migrated from (A51.SE)
asked Mar 31, 2012 in Theoretical Physics by Mohamed Alaa El Beha (0 points) [ no revision ]

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