WebSep 12, 2016 · Green's functions are not unique. Any solution of that satisfies the homogeneous equation, $$(\partial_t^2 - \nabla^2 + m^2)f = 0$$ in the region of interest can be added to the Green's function without spoiling the inhomogeneous equation. WebHow exactly is the propagator a Green's function for the Schrodinger equation? 21 Time ordering and time derivative in path integral formalism and operator formalism
homework and exercises - Green
Webterm, so this definition of the advanced and retarded Green functions is indeed Lorentz invariant. 2. The idea is to compare two methods of computing the commutator [’(x);’_(y)]; using canonical quan-tization and the Lehmann-Kall¨ ´en exact propagator. It is straightforward to show that, using canonical quantization, we have at equal times Z WebOct 1, 2010 · The results for Feynman, retarded and advance propagators are well known in d = 2 and d = 4 dimensions, see for example [69] for the clean summary. The scalar Feynman propagator in general ... free lawyer advice uk
Is the retarded propagator exactly the Green
WebOct 28, 2024 · Thus it seems as if a QFT propagator, in general, is not necessarily a Green function. (It's still possible that some propagator (e.g. the Feynman propagator) is a Green function. However, so far I haven't found a source which clarifies which propagators are actually Green functions and which are not. WebMay 16, 2024 · The Feynman propagator is motivated by a felt need to 'impose causality' at the level of the basic field propagation. This approach can be questioned in the sense … WebAug 22, 2024 · $\begingroup$ Section 4.5 of paper "Vacuum Noise and Stress Induced by Uniform Acceleration" by Takagi uses the massive position space propagator (the Wightman function) to calculate the rate of excitation of a two-level detector which uniformly accelerated through Minkowski space (this then tells you the Unruh temperature). This … free lawyer chat room