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Dec 6, 2020 at 10:53 comment added Ali N. @MadMax, thanks for the comment. You're right, I was not being precise in that sentence.
Dec 6, 2020 at 10:51 vote accept Ali N.
Dec 6, 2020 at 1:53 vote accept Ali N.
Dec 6, 2020 at 1:55
Dec 4, 2020 at 16:11 comment added MadMax " By internal symmetry I mean a symmetry group G (not Lorentz or Poincare)". You might be supersized to learn that for gravy the local Lorentz symmetry is an "internal symmetry"(does not involve coordinate transformation!), while the diffeomorphism is an "external symmetry" (involves coordinate transformation). See answer here: physics.stackexchange.com/questions/502982/…
Dec 4, 2020 at 13:02 answer added Oбжорoв timeline score: 2
Dec 4, 2020 at 4:05 comment added Ali N. @ d_b, thanks for the comment. My confusion arises exactly from your point. I thought when we say we have a gauge theory we have a theory with a local symmetry and the gauge fields are the connections of the Lie group but then I came across the following paper.There, we have a color vector charge $\vec{q}$ with a global SO(3) symmetry in color space and gauge symmetry for the gauge field. The definition of strength tensor and the transformations are the same as E&M only now we have a SO(3) symmetry instead of U(1). By internal symmetry I mean a symmetry group G (not Lorentz or Poincare).
Dec 4, 2020 at 2:10 history edited Qmechanic CC BY-SA 4.0
added 13 characters in body; edited tags; edited title
Dec 4, 2020 at 1:23 comment added d_b @AliN. Perhaps you could define for us what you mean by "global internal symmetry," "local internal symmetry," and "gauge symmetry." In the standard terminology, "local symmetry" and "gauge symmetry" are synonyms.
Dec 4, 2020 at 1:07 comment added Ali N. Hi there, many thanks for your comment. I edited the question and hopefully it's more clear now. Just to clarify, my question is not about the relation between global and local internal symmetry. It's about the relation between gauge symmetry and internal symmetry. I'd appreciate any thoughts on this.
Dec 4, 2020 at 0:51 history edited Ali N. CC BY-SA 4.0
Made it more clear
Dec 3, 2020 at 12:55 comment added Oбжорoв I believe the OP is asking what the relation is between a global internal symmetry and a local internal symmetry. But this question is not very clearly written. I suggest the OP rephrases this.
Dec 3, 2020 at 12:51 review First posts
Dec 3, 2020 at 12:55
Dec 3, 2020 at 12:47 history asked Ali N. CC BY-SA 4.0