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- W4300180949 abstract "I present two interesting studies related to the role of solitons in theories with spontaneous symmetry breaking. Quantised fermions coupled to solitons are known to induce fractional fermion number. I present an example where an unstable topological solution binding a zero mode of a majorana fermion gets stabilised due to the induced fractional number. Thus neither is the cosmic string stable nor is the fermion number conserved, yet the bound state then becomes stable due to Quantum Mechanics. The other phenomenon concerns a metastable vacuum getting destabilised due to the presence of a cosmic string. This happens because the scalar field signalling spontaneous symmetry breaking acquires a vacuum expectation value approaching its true vacuum value in the core of the string. Thus the string acts like a seed nucleating the true vacuum. The instanton mediating between the false vacuum and the exit point into the true vacuum is shown to exist and graphically displayed through a numeric calculation. T. Padmanabhan has been a long time friend and was collaborator for early investigations in this direction. I review these works done subsequently with other collaborators as a felicitation to him on his sixtieth birthday." @default.
- W4300180949 created "2022-10-03" @default.
- W4300180949 creator A5091575639 @default.
- W4300180949 date "2016-10-11" @default.
- W4300180949 modified "2023-09-29" @default.
- W4300180949 title "Stability longevity and all that : false vacua and topological defects" @default.
- W4300180949 doi "https://doi.org/10.48550/arxiv.1610.03174" @default.
- W4300180949 hasPublicationYear "2016" @default.
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