Avoiding Ultraviolet Divergence by Means of Interior-Boundary Conditions · HackerPapers discussions

Avoiding Ultraviolet Divergence by Means of Interior-Boundary Conditions — mentioned by jostylr

Tue, 11 Jul 2023 01:24:40 GMT

Here are a some papers: Avoiding Ultraviolet Divergence by Means of Interior-Boundary Conditions https://arxiv.org/abs/1506.00497 This is perhaps the first of the papers and so may be a good place to start. Bohmian Trajectories for Hamiltonians with Interior-Boundary Condition https://arxiv.org/abs/1809.10235 This is the Bohmian part of the story. Multi-Time Wave Functions https://arxiv.org/abs/1702.05282 This explains the trickiness of having interactions with multi-time wave functions (space-time suggests having multi-time wave functions and no single time). Creation Rate of Dirac Particles…

Paper and discussion history. A mention is not an endorsement.

Avoiding Ultraviolet Divergence by Means of Interior-Boundary Conditions — mentioned by jostylr

Sat, 17 Dec 2016 14:13:57 GMT

There are various versions, but the one I recommend to date loses determinism (that was never the point) and allows for annihilation and creation of particles: https://arxiv.org/abs/quant-ph/0208072 In addition, the ideas of Bohmian mechanics has led to a new direction in dealing with the divergences in QFT, that is, in finding a version of it that is mathematically well-defined: https://arxiv.org/abs/1506.00497

Paper and discussion history. A mention is not an endorsement.

Avoiding Ultraviolet Divergence by Means of Interior-Boundary Conditions — mentioned by jostylr

Sat, 15 Oct 2016 14:02:43 GMT

It is all a matter of what you want out of science. Some people, such as myself, enjoy having a narrative about how the universe works consistent with experiments. This is both satisfying and useful in finding new directions to push or ways to solve problems (such as a recent attempt to solve the divergences in QFT by using boundary conditions appropriate for particle flows: https://arxiv.org/pdf/1506.00497.pdf). If you have just quantities to compute, but have no idea what those quantities represent in reality, it is hard to see how one can think of that as understanding how the universe…

Paper and discussion history. A mention is not an endorsement.

Avoiding Ultraviolet Divergence by Means of Interior-Boundary Conditions — mentioned by jostylr

Sun, 10 Jul 2016 09:51:11 GMT

Why do you say that? There are adaptations that have creation and annihilation of particles in Bohmian mechanics: http://arxiv.org/abs/quant-ph/0303156 The main issue is that QFT does not generate a mathematically well-defined evolution of the wave function, but there are promising directions on that front as well: http://arxiv.org/abs/1506.00497 Basically, they treat the Hamiltonian as a whole instead of a perturbation and use a domain for it that has the probabilities flowing from one area to another appropriately to the different particle sectors. There is also work on dealing with…

Paper and discussion history. A mention is not an endorsement.