Status of lattice standard model

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SUMMARY

The discussion centers on the conflicting views regarding the existence of a lattice standard model in particle physics. Wiese's 2009 notes assert that a breakthrough in lattice gauge theory allows for a consistent definition of the standard model beyond perturbation theory. In contrast, Kaplan's 2009 notes argue that a nonperturbative regulator for the standard model is still lacking, suggesting that perturbation theory may suffice for practical understanding. The conversation highlights the need for further analysis of mainstream proposals, including the Luscher method and other recent studies, to determine the validity of these claims.

PREREQUISITES
  • Understanding of lattice gauge theory
  • Familiarity with perturbation theory in quantum field theory
  • Knowledge of chiral gauge theories
  • Ability to analyze academic papers in theoretical physics
NEXT STEPS
  • Review Wiese's 2009 notes on lattice gauge theory
  • Examine Kaplan's 2009 paper for insights on nonperturbative regulators
  • Study the Luscher method as discussed in http://arxiv.org/abs/1003.5896
  • Investigate the implications of the negative results in http://arxiv.org/abs/1211.6947v3
USEFUL FOR

The discussion is beneficial for theoretical physicists, researchers in particle physics, and graduate students exploring lattice gauge theory and the standard model's formulation.

atyy
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What is the "consensus" status of the existence of a lattice standard model? These two sets of notes don't seem to be in agreement.

Wiese's 2009 notes http://www.itp.uni-hannover.de/saalburg/Lectures/wiese.pdf say "Thanks to a recent breakthrough in lattice gauge theory, the standard model is now consistently defined beyond perturbation theory."

But Kaplan's notes http://arxiv.org/abs/0912.2560, also from 2009 say "Thus we lack of a nonperturbative regulator for the Standard Model - but then again, we think perturbation theory suffices for understanding the Standard Model in the real world. If a solution to putting chiral gauge theories on the lattice proves to be a complicated and not especially enlightening enterprise, then it probably is not worth the effort (unless the LHC finds evidence for a strongly coupled chiral gauge theory!). However, if there is a compelling and physical route to such theories, that would undoubtedly be very interesting.

Even if eventually a lattice formulation of the Standard Model is achieved ..."

I'm aware of more off-the beaten-track proposals like http://arxiv.org/abs/0908.0591 and http://arxiv.org/abs/1305.1045, but I would like to have comments on the "mainstream" proposals first.
 
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http://arxiv.org/abs/1003.5896 reviews and analyzes the Luscher etc method in some detail and http://arxiv.org/abs/1211.6947v3 reviews and discusses another method with negative results. At least the latter paper is a couple of years older than Wiese's notes and would have benefited from some consensus on whether the methods referred to have actually been successful. I haven't been following lattice and haven't really read these papers that I'm linking, but will take a closer look when I can. I figure that they at least suggest that Wiese was being a bit premature in declaring success.
 
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