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bio website pantheon.yale.edu/~pwm22
location New Haven, CT
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I'm slowly understanding quantum field theory. I believe I understand non-interacting quantum fields pretty well, I would say as a formalism for real signal analysis, and their relationship to classical random fields, but the mathematics and understanding of interacting quantum fields is harder.

As a manifesto for PhysicsSE, I would say that research in Physics is a cooperative endeavour, in which productive failures are sometimes better for us than apparent successes. Sometimes seeing what is productive takes the ingenuity of many people and many years.


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comment Renormalization in non-relativistic quantum mechanics
Similarly useful: Regularization, renormalization, and dimensional analysis: Dimensional regularization meets freshman E&M Fredrick Olness and Randall Scalise Citation: American Journal of Physics 79, 306 (2011); doi: 10.1119/1.3535586 View online: dx.doi.org/10.1119/1.3535586
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revised Does the lagrangian contain all the information about the representations of the fields in QFT?
Added response to comment from Question author.
Nov
28
comment Does the lagrangian contain all the information about the representations of the fields in QFT?
@glance Right, and apologies. Read the Question carefully. I take it that there are two aspects to the question: the local and the global. See my Edit, to appear momentarily, I hope.
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answered Does the lagrangian contain all the information about the representations of the fields in QFT?
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reviewed Approve How does one measure the frequency of a laser?
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comment Maxwell's equations in microscopic and macroscopic forms, and quantization
@Cristi I more-or-less saw that as your motivation. I've now thought about it more, so that I think it's clear that the indefinite metric makes a useful decomposition not possible unless some additional structure is introduced (so, what other structure would be natural in your context?). The Fourier transform (or CST equivalent) is fairly natural in physics; a restriction to the forward light-cone is natural for QM, and a restriction to both forward and backward light-cones is possible, albeit not a well-established choice, in classical physics (eg, in Stochastic ElectroDynamics).
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revised Maxwell's equations in microscopic and macroscopic forms, and quantization
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