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Jul 13, 2022 at 13:25 comment added Cosmas Zachos Yes, both anomalies and quark masses provide the explicit breaking in the process, and $m_a\sim m_\pi f_\pi /f_a$, a tiny number. Normal texts absorb the huge $f_a$ into the normalization of a, in which your kinetic term question collapses: it deconstructs itself! All of your questions have been answered adequately unambiguously in the linked question.
Jul 12, 2022 at 18:46 comment added Brendan Darrer @ZeroTheHero: Thanks for the advice. I take your point!
Jul 12, 2022 at 17:53 comment added ZeroTheHero @BrendanDarrer Links are sometimes necessary, but I honestly fail to see how adding links to wikipedia or other trivial sources fall in the necessary category and clarify much. Moreover, I personally would not substitute my judgment on what sources are needed to understand a question for the judgment of the OP and would ask for additional clarifications in a comment before editing a question by adding wiki links.
Jul 12, 2022 at 16:26 history edited sb59 CC BY-SA 4.0
added 41 characters in body
Jul 12, 2022 at 16:24 comment added sb59 @CosmasZachos The first "question" is really just a restatement of the linked post (although I realize it looks like thats the main question I have by how I wrote it, but in that case it would be a repost). The two questions at the end hardly qualify as a list question imo as one of them is a yes/no question. As to the question in my previous comment, I came up with it after posting the question. I'll edit the question
Jul 12, 2022 at 16:10 comment added sb59 @CosmasZachos Okay, so is the answer to the first question of mine in the last section "yes"? What about the second? Also, in Thomas' argument for $U(1)_{PQ}$ being exact, what happens to the $(\partial_{\mu} a)^2$? Can't the second term dominate even in this $m_a \ll \lambda_{QCD}$ provided the kinetic part is very small?
Jul 12, 2022 at 15:47 comment added Cosmas Zachos So the added remark in the answer by @Thomas to the linked question settles the issue, then.
Jul 12, 2022 at 15:36 comment added sb59 @CosmasZachos Yes
Jul 12, 2022 at 15:14 comment added Cosmas Zachos One assumes you are cool and unconflicted about pions as pseudogoldstone bosons of chiral flavor symmetry?
Jul 12, 2022 at 14:34 comment added Brendan Darrer @ZeroTheHero: Thanks for your feedback. I only meant to clarify the question with the links. But if you find it distracting, I will limit it my use of them, only to questions that would benefit from it.
Jul 12, 2022 at 14:18 comment added ZeroTheHero @Qmechanic sure, adding links can be helpful if the links are to some relevant papers or sources but systematically editing questions by adding links to wikipedia articles is distracting. After all, the authors did not think that such links would be helpful.
Jul 12, 2022 at 13:55 comment added Qmechanic @ZeroTheHero: Speaking in general rather than this specific case, hyperlinks might be helpful and clarifying for some readers, and improve the question.
Jul 12, 2022 at 13:45 comment added Brendan Darrer @ZeroTheHero: Ok, no problem!
Jul 12, 2022 at 13:45 history edited Qmechanic CC BY-SA 4.0
deleted 6 characters in body; edited tags; edited title
S Jul 12, 2022 at 13:43 history suggested Brendan Darrer CC BY-SA 4.0
improved question links
Jul 12, 2022 at 13:42 comment added ZeroTheHero @BrendanDarrer please stop inserting links where the OP did not see fit to insert any.
Jul 12, 2022 at 13:04 review Suggested edits
S Jul 12, 2022 at 13:43
S Jul 12, 2022 at 11:55 review First questions
Jul 12, 2022 at 11:58
S Jul 12, 2022 at 11:55 history asked sb59 CC BY-SA 4.0