Revisiting metastable cosmic string breaking
Akifumi Chitose, Masahiro Ibe, Yuhei Nakayama, Satoshi Shirai, Keiichi Watanabe
Abstract
A bstract Metastable cosmic strings appear in models of new physics with a two-step symmetry breaking G → H → 1, where π 1 ( H ) ≠ 0 and π 1 ( G ) = 0. They decay via the monopole-antimonopole pair creation inside. Conventionally, the breaking rate has been estimated by an infinitely thin string approximation, which requires a large hierarchy between the symmetry breaking scales. In this paper, we reexamine it by taking into account the finite sizes of both the cosmic string and the monopole. We obtain a robust lower limit on the tunneling factor $$ {e}^{-{S}_B} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>e</mml:mi> <mml:mrow> <mml:mo>−</mml:mo> <mml:msub> <mml:mi>S</mml:mi> <mml:mi>B</mml:mi> </mml:msub> </mml:mrow> </mml:msup> </mml:math> even for regimes the conventional estimate is unreliable. In particular, it is relevant to the cosmic string interpretation of the gravitational wave signals recently reported by pulsar timing array experiments.