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A. Neumaier
Feb26-11, 02:17 PM
Sci Advisor
P: 1,943
Quote Quote by plasmon View Post
Is it correct to express quantum field theory as "operator valued function" or "operator function" to spacetimepoints. Also, how value of field at each point act as a seperate degrees of freedom.
A quantum field is an operator-valued distribution. In many cases (in the relativistic case always) it is too singular to be a function. The separate degrees of freedom are not at a space-time point but (depending on the representation used) either at each point in a 3-space defined by a fixed time, or at a point on a mass shell in momentum space.