Question

More than one Poincare-invariant vacuum in case of spontaneous symmetry breaking?

Answer 1

Hey mate ^_^

Yeah...!!! It is said in axiomatic quantum field theory approach that Poincare-invariant vacuum is unique. However, in case of spontaneous symmetry breaking - such as Mexican hat example - it seems that more than one Poincare-invariant vacuum exists, even considering for quantum corrections.


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Answer 2

Hiii there

It is said in axiomatic quantum field theory approach that Poincare-invariant vacuum is unique. However, in case of spontaneous symmetry breaking - such as Mexican hat example - it seems that more than one Poincare-invariant vacuum exists, even considering for quantum corrections.

Hope it helps