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Scientific paper
Mar 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.2982k&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 6, 15 March 1994, pp.2982-2989
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Field Theories In Dimensions Other Than Four, Extended Classical Solutions, Cosmic Strings, Domain Walls, Texture, Particle-Theory And Field-Theory Models Of The Early Universe
Scientific paper
We propose a systematic approach for finding bosonic zero modes of nontrivial classical solutions in a gauge theory. The method allows us to find all the modes connected with the broken space-time and gauge symmetries. The ground state is supposed to be dependent on some space coordinates yα and independent of the rest of the coordinates xi. The main problem which is solved is how to construct the zero modes corresponding to the broken xiyα rotations in vacuum and which boundary conditions specify them. It is found that the rotational modes are typically singular at the origin or at infinity, but their energy remains finite. They behave as massless vector fields in x space. We analyze local and global symmetries affecting the zero modes. An algorithm for constructing the zero mode excitations is formulated. The main results are illustrated in the Abelian Higgs model with the string background.
Khariton N. G.
Svetovoy Vitaly B.
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