Properties of Z2 strings

Mathematics – Logic

Scientific paper

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Spontaneous Breaking Of Gauge Symmetries, Unified Theories And Models Of Strong And Electroweak Interactions

Scientific paper

We discuss various properties of cosmic strings formed by symmetry breaking of the form G-->K×Z2. The unbroken Z2 can be embedded in different U(1) subgroups of G, giving topologically equivalent but dynamically different strings. We obtain the string mass in terms of the Higgs-field vacuum expectation value for various values of the gauge and quartic Higgs-field coupling constants by numerical calculation. We find that in a wide range of realistic cases, unless there is an intermediate K×U(1) phase, the lowest-mass embedding gives strings which are gauge equivalent to antistrings, in which case the beadlike solitons of Hindmarsh and Kibble do not occur.

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