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Aug 30, 2022 at 20:08 history notice added Qmechanic Book Recommendation
Aug 30, 2022 at 20:08 history closed Qmechanic Opinion-based
Aug 30, 2022 at 20:07 history edited Qmechanic
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Aug 30, 2022 at 20:03 answer added ɪdɪət strəʊlə timeline score: 1
Aug 30, 2022 at 20:00 comment added Gold You need to be familiar with both of them. In particular, since you have string theory in mind, path integral quantization of string theory is, in my opinion, the nicest approach, because you have gauge invariance in the worldsheet theory. When you have gauge invariance functional integration is the best path to follow, employing the so-called Faddeev-Popov procedure. For example, non-abelian gauge theories, like QCD, are studied using this method, since in that case canonical quantization becomes quite cumbersome.
Aug 30, 2022 at 18:38 comment added Zack I think the correct answer is that you really ought to be very familiar with both. Path integrals often sweep important technical issues under the rug; I think it's difficult to achieve a deep understanding of path integrals without first carefully working through canonical quantization. But ultimately path integrals are often simpler to work with and can give more physical insight.
Aug 30, 2022 at 18:20 history asked aygx CC BY-SA 4.0