Disentangling nonabelian discrete quantum hair.

Physics – Nuclear Physics

Scientific paper

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Scientific paper

A theory in which a U(1) gauge group broke down to a discrete ZN subgroup was studied previously and it was argued that despite the classical no-hair theorems, the ZN charge carried by a black hole was an observable quantity, 'discrete quantum hair'. In this note the authors extend the analysis to the case in which a general continuous gauge group G breaks down to a discrete nonabelian subgroup H. They find that the H-transformation properties of a black hole are (with one minor exception) as observable as those of any other particle. Just as in the ZN case, the observations are made by gedanken experiments involving the interactions of black holes and cosmic strings. To complete the argument the authors have to investigate the quantum theory of nonabelian cosmic strings. They find that one should not except to find cosmic strings in states that correspond to irreducible representations of H.

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