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Physics
Quantum Physics
Simulating physics: the current status of lattice field theories
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[QUOTE="ErikZorkin, post: 6625737, member: 580915"] I recently watched [URL='https://www.youtube.com/watch?v=QPMn7SuiHP8']this video[/URL] by David Tong on computer simulation of quantum fields on lattices, fermionic fields in particular. He said it was impossible to simulate a fermionic field on a lattice so that the action be local, Hermitian and translation-invariant unless extra fermions get introduced. This is known as the [URL='https://en.wikipedia.org/wiki/Nielsen%E2%80%93Ninomiya_theorem']Nielsen–Ninomiya theorem[/URL]. David Tong mentioned that simulating physics (to be precise, quantum field theories) remains one the most challenging problems of physics and just a handful of people are currently working on it. Question: what is currently the most accepted method of simulating a lattice field theory? In particular, what conditions of the said theorem does the Susskind's staggered fermion model discard and what is the physical implications? [/QUOTE]
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Simulating physics: the current status of lattice field theories
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