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[Moderator's note: This thread was spun off from a previous thread since it was getting into technical issues beyond the scope of the previous thread. The quote at the top of this post is from the previous thread.]
But even before going into the technical details, here is a heuristic that may be helpful: relativistic QFT is not necessarily relativistic, and since Bohmian Mechanics can deal with non-relativistic QM, Bohmian Mechanics should be able to deal with some relativistic QFTs.
For non-relativistic attempts at relativistic QFT, we have the mainstream fields of lattice gauge theory (which is non-relativistic at any finite lattice spacing) and condensed matter physics (eg. relativistic massless Dirac particles in graphene). Also interesting are efforts like https://arxiv.org/abs/1503.02312. Lattice QED is generally thought to be ok, so probably the main problem for Bohmian Mechanics is that a lattice standard model is still lacking because of the chiral fermion problem (there are interesting proposals, but no consensus).
haushofer said:I'm not familiar with Bohmian quantum field attempts, but I'll have a look.
But even before going into the technical details, here is a heuristic that may be helpful: relativistic QFT is not necessarily relativistic, and since Bohmian Mechanics can deal with non-relativistic QM, Bohmian Mechanics should be able to deal with some relativistic QFTs.
For non-relativistic attempts at relativistic QFT, we have the mainstream fields of lattice gauge theory (which is non-relativistic at any finite lattice spacing) and condensed matter physics (eg. relativistic massless Dirac particles in graphene). Also interesting are efforts like https://arxiv.org/abs/1503.02312. Lattice QED is generally thought to be ok, so probably the main problem for Bohmian Mechanics is that a lattice standard model is still lacking because of the chiral fermion problem (there are interesting proposals, but no consensus).
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