Where to Access the Longest Worked Out Calculations in Physics?

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Discussion Overview

The discussion centers around the search for worked out calculations in quantum field theory (QFT), particularly focusing on identifying the longest calculations in physics. Participants explore various resources and examples related to QFT calculations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about where to find worked out quantum field theory calculations and expresses interest in the longest calculations in physics.
  • Another participant suggests that the length of QFT calculations can vary and mentions that a good QFT book should contain several examples.
  • It is proposed that calculations can be made arbitrarily long by perturbatively expanding a QFT to a high order, with examples from the Standard Model being noted as lengthy but straightforward.
  • A participant shares a personal experience of completing a lengthy calculation regarding the lifetime of the muon in QED, which spanned 25 pages.
  • Several links to resources and threads are shared by participants as potential references for longer calculations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on what constitutes "the longest" calculations, and multiple views on the nature and resources for QFT calculations are presented.

Contextual Notes

Some discussions involve personal experiences and subjective assessments of calculation length, which may depend on individual writing styles and methods.

Who May Find This Useful

Individuals interested in quantum field theory, advanced physics calculations, or those seeking resources for lengthy worked examples in theoretical physics may find this discussion relevant.

Urvabara
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Where can I find worked out quantum field theory calculations?

What are the longest calculations in physics? I would like to see them.
 
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It depends on what kind of QFT calculations you want to see... a good QFT book ought to have quite a few.

I don't know of "the longest" calculations, but I suppose you could make them as long as you want, for example by pertubatively expanding some arbitrary QFT to some arbitrary order and doing the integrals. For example, Standard Model quantities have been numerically calculated up to some large order in the couplings. However, those are kind of "trivial" cases: although the calculations are not pretty and become longer and longer, the method is straightforward and well-studied.
 
<http://arxiv.org/abs/0810.5208> T. Kinogarbagea
 
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A big thanks! :)

You can send more good links here, if you want.
 
Thanks again.
 

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