From Symmetry Breaking to Topology Change I
High Energy Physics - Theory
2007-05-23 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Mathematical Physics
Differential Geometry
math.MP
Abstract
By means of an analogy with Classical Mechanics and Geometrical Optics, we are able to reduce Lagrangians to a kinetic term only. This form enables us to examine the extended solution set of field theories by finding the geodesics of this kinetic term's metric. This new geometrical standpoint sheds light on some foundational issues of QFT and brings to the forefront core aspects of field theory.
Keywords
Cite
@article{arxiv.hep-th/0609190,
title = {From Symmetry Breaking to Topology Change I},
author = {D. D. Ferrante and G. S. Guralnik},
journal= {arXiv preprint arXiv:hep-th/0609190},
year = {2007}
}
Comments
14 pages, 18 figures; fonts corrected, for a higher definition version, check http://chep.het.brown.edu/