Quantum fluctuations on domain walls, strings, and vacuum bubbles

Details Quantum fluctuations on domain walls, strings, and vacuum bubbles Quantum fluctuations on domain walls, strings, and vacuum bubbles

May 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45.3469g&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 45, Issue 10, 15 May 1992, pp.3469-3486

Physics

58

Theory Of Quantized Fields, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We develop a covariant quantum theory of fluctuations on vacuum domain walls and strings. The fluctuations are described by a scalar field defined on the classical world sheet of the defects. We consider the following cases: straight strings and planar walls in flat space, true vacuum bubbles nucleating in false vacuum, and strings and walls nucleating during inflation. The quantum state for the perturbations is constructed so that it respects the original symmetries of the classical solution. In particular, for the case of vacuum bubbles and nucleating strings and walls, the geometry of the world sheet is that of a lower-dimensional de Sitter space, and the problem reduces to the quantization of a scalar field of tachyonic mass in de Sitter space. In all cases, the root-mean-squared fluctuation is evaluated in detail, and the physical implications are briefly discussed.

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