A. Neumaier's latest activity
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A. Neumaier replied to the thread Graduate Looking for a mathematically rigorous definition of a Quantum Field.In flat space the Wightman axioms, in curved space a curved version of the Haag-Kastler axioms.
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A. Neumaier replied to the thread Graduate Looking for a mathematically rigorous definition of a Quantum Field.This is a misunderstanding. Indeed, a requirement in the Yang-Mills problem is to satisfy the Wightman axioms or something stronger. We...
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A. Neumaier replied to the thread Graduate Looking for a mathematically rigorous definition of a Quantum Field.It lacks the constraints that turn an operator valued distribution into a quantum field. There is no single, all-encompassing...
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A. Neumaier reacted to jbergman's post in the thread Graduate Looking for a mathematically rigorous definition of a Quantum Field with
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I would look at Folland's book or Talagrand's "What is a quantum field theory". -
A. Neumaier replied to the thread Graduate How many interpretations of QM do you speak?.The best paper that formulates the measurement problem in a way that is clearer than current formulations is Muller, F. A. (2023). Six...
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A. Neumaier replied to the thread Graduate How many interpretations of QM do you speak?....because after calculation, every user (as long as shutting up = not using the word 'interpretation' ) is allowed to interpret the...
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A. Neumaier replied to the thread Graduate So, if RQM isn't consistent; what makes us believe that QFT is?.All arguments in textbooks and the research literature are based on classical logic. Nothing at all in quantum theory is deduced by...
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A. Neumaier replied to the thread Undergrad New understanding of the eigenvalues of the harmonic oscillator.Not quite. One still has to find the infinite sequence of invariant subspaces of the Hamiltonian, which gives rise to the triangular...
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A. Neumaier replied to the thread Graduate So, if RQM isn't consistent; what makes us believe that QFT is?.Try my book on algebraic quantum physics, it might convince you of the opposite!
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A. Neumaier replied to the thread Graduate So, if RQM isn't consistent; what makes us believe that QFT is?.Indeed, relativistic multiparticle quantum mechanics is consistent (and useful) but has, compared to relativistic quantum field theory...
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A. Neumaier replied to the thread Undergrad Particles' Intrinsic Properties in QFT.In differential geometry, there is a covariant concept of a 4-vector, and the momentum vector is such a 4-vector. Only the coordinates...
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A. Neumaier replied to the thread Graduate My questions about QFT and the standard model.1. Local and global symmetries are essentially different concepts. Electromagnetism has a local U(1) gauge symmetry that is essential to...