Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-05-25
Mod.Phys.Lett. A17 (2002) 1037-1046
Physics
High Energy Physics
High Energy Physics - Theory
9 pages; to appear in the proceedings of IGQR-I (Dec 17-21, IUCAA, Pune, India) in Mod. Phys. Letts. (special issue)
Scientific paper
10.1142/S0217732302007089
The space of couplings of a given theory is the arena of interest in this article. Equipped with a metric ansatz akin to the Fisher information matrix in the space of parameters in statistics (similar metrics in physics are the Zamolodchikov metric or the O'Connor--Stephens metric) we investigate the geometry of theory space through a study of specific examples. We then look into renormalisation group flows in theory space and make an attempt to characterise such flows via its isotropic expansion, rotation and shear. Consequences arising from the evolution equation for the isotropic expansion are discussed. We conclude by pointing out generalisations and pose some open questions.
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