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edit approved Mar 2, 2022 at 11:15
user320397
edit approved Mar 2, 2022 at 11:15
user320397

Colemans theorem states that there are no Goldstone Bosons in d=2$d=2$ spacetime dimensions  : https://inspirehep.net/literature/83738 because there is no spontaneous symmetry breaking. However i

However I have read that for spacetime symmetries there can be a spontaneous symmetry breaking even in d=2$d=2$ and thus Goldstone modes. So my

My question is: 

Where in the proof of Colemans theorem does he assume the symmetry to be global or why does the proof not work for spacetime symmetries?

Colemans theorem states that there are no Goldstone Bosons in d=2 spacetime dimensions: https://inspirehep.net/literature/83738 because there is no spontaneous symmetry breaking. However i have read that for spacetime symmetries there can be a spontaneous symmetry breaking even in d=2 and thus Goldstone modes. So my question is: Where in the proof of Colemans theorem does he assume the symmetry to be global or why does the proof not work for spacetime symmetries?

Colemans theorem states that there are no Goldstone Bosons in $d=2$ spacetime dimensions  : https://inspirehep.net/literature/83738 because there is no spontaneous symmetry breaking.

However I have read that for spacetime symmetries there can be a spontaneous symmetry breaking even in $d=2$ and thus Goldstone modes.

My question is: 

Where in the proof of Colemans theorem does he assume the symmetry to be global or why does the proof not work for spacetime symmetries?

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Elskrt
Elskrt
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SSB of Spacetime Symmetries in 2d

Colemans theorem states that there are no Goldstone Bosons in d=2 spacetime dimensions: https://inspirehep.net/literature/83738 because there is no spontaneous symmetry breaking. However i have read that for spacetime symmetries there can be a spontaneous symmetry breaking even in d=2 and thus Goldstone modes. So my question is: Where in the proof of Colemans theorem does he assume the symmetry to be global or why does the proof not work for spacetime symmetries?