Mathematics – Logic
Scientific paper
Jan 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phdt........22k&link_type=abstract
Thesis (PH.D.)--UNIVERSITY OF FLORIDA, 1995.Source: Dissertation Abstracts International, Volume: 56-11, Section: B, page: 6182
Mathematics
Logic
Renormalization Group, Cosmic Strings
Scientific paper
Cosmological consequences of topological defects such as cosmic strings greatly depend on their macroscopic descriptions. Although described as a Nambu-Goto string microscopically, a cosmic string may not behave as a Nambu -Goto string when viewed at scales of cosmological relevance. A formalism that describes the relativistic motion of a general string in flat Minkowskian spacetime is proposed. It includes the Nambu-Goto equation of motion as a limiting case. The effect of small scale structure on strings, transverse or longitudinal, is studied leading to the development of a set of renormalization group equations for the energy per unit length and the tension of the string. Finally, an extension to n-dimensional objects embedded in (D+1) -dimensional spacetime is presented.
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