Recent content by Xiaomin Chu
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Graduate Dimensional analysis and coupling constant
Thanks very much. ##\phi^3## theory is just a toy before going to QED. He actually introduces Feynman rules in Part I, not ##\phi^3## theory. Is it possible to skip some sections and go directly to QED?- Xiaomin Chu
- Post #7
- Forum: Quantum Physics
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Graduate Dimensional analysis and coupling constant
QED,,,I'm not sure whether Srednicki has introduced QED in his book. He talks a little about photon field and eletro-dynamics. After all I'm learning QFT from his book. Are there any good books on QFT(or StringTheory) other than Srednicki's? I may need more books.- Xiaomin Chu
- Post #5
- Forum: Quantum Physics
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Graduate Dimensional analysis and coupling constant
I guess phi-cubed theory is super-renormalizable in 4 spacetime dimensions so the calculations will be easier. Phi-4th-powered theory is well-defined and just right, but it needs especially careful treatments. Another question is, which L1 best describes the process of a photon creates an...- Xiaomin Chu
- Post #3
- Forum: Quantum Physics
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Graduate Path integral and discontinuous paths
Sometimes physics seems incorrect mathematically, that's because the current mathematics doesn't include the objects physicists use. I believe physics includes two sides, one is experiments, that goes from "top" to "bottom", the other is mathematics, that goes from "bottom" to "top". When they...- Xiaomin Chu
- Post #10
- Forum: Quantum Physics
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Graduate Dimensional analysis and coupling constant
I'm learning QFT from Srednicki's book. He introduces dimensional analysis in section 12. Coupling constant needs to be dimensionless in order to avoid a number of problems. So phi-cubed theory needs 6 space time dimensions to make sense, but isn't phi-4th-powered theory just right for our 4...- Xiaomin Chu
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- Analysis Constant Coupling Dimensional analysis
- Replies: 7
- Forum: Quantum Physics
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Graduate Path integral and discontinuous paths
Can you tell more mathematical details about this? I'm not satisfied by Srednicki's introduction, I want strict mathematics.- Xiaomin Chu
- Post #6
- Forum: Quantum Physics
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Graduate Path integral and discontinuous paths
There are always some functions that remain discontinuous when being broken to pieces. In fact there are " much more" this kind of functions than continuous functions, "almost every" function has this property. Does that mean path integral will not even converge?- Xiaomin Chu
- Post #5
- Forum: Quantum Physics
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Graduate Path integral and discontinuous paths
Somebody asked about this but that thread was closed very soon. In physics, discontinuous paths breaks locality so they must be 0; but mathematically, they causes some problems. Discontinuous functions must not be differentiable, so it's impossible to calculate the action over that path. However...- Xiaomin Chu
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- Integral Path Path integral
- Replies: 10
- Forum: Quantum Physics
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Graduate What is the dimension of the state vector?
Thanks- Xiaomin Chu
- Post #12
- Forum: Quantum Physics
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Graduate What is the dimension of the state vector?
Thanks- Xiaomin Chu
- Post #11
- Forum: Quantum Physics
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Graduate What is the dimension of the state vector?
Thanks. Is this correct:? A state vector is a vector in a Hilbert space which is the tensor product of a CSCO's space. Each operator in CSCO operates on its own indices, so position and spin operators do not affect each other. Then another problem, just the same as entanglement: tensor product...- Xiaomin Chu
- Post #7
- Forum: Quantum Physics
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Graduate What is the dimension of the state vector?
You mean, tensor product?- Xiaomin Chu
- Post #5
- Forum: Quantum Physics
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Graduate What is the dimension of the state vector?
Then how can spin operators represented by 2X2 matrices act on the countably infinite dimensional vectors to have eigenvalue equations?- Xiaomin Chu
- Post #3
- Forum: Quantum Physics
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Graduate What is the dimension of the state vector?
Often ignored, but turned out to be a problem when trying to compute the commutator of position and spin. Pauli matrices clearly acting on two dimensional vectors while position on infinite dimensional vectors. But a system is described as a single state vector in Dirac notation. A system can of...- Xiaomin Chu
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- Dimension State State vector Vector
- Replies: 11
- Forum: Quantum Physics
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Graduate Is there any learning group for QFT?
Thanks a lot!- Xiaomin Chu
- Post #5
- Forum: Quantum Physics