Vacuum Structure and Global Strings with Conical Singularities

Abstract

Vacuum structure and global cosmic strings are analyzed in the effective theory of self-interacting O(2) scalar fields on (3+1)-manifolds with conical singularities. In the context of one-loop effective action computed by heat-kernel methods with $\zeta$-function regularization, we find an inhomogeneous vacuum of minimum energy and suggest some reason why low-energy global strings are likely to be generated at the conical singularities.

LaTeX, 13 pages, 2 figures

References in corpus (3)

• Global Strings in High Density QCD
• Global p-Brane World: A New Approach to Stable Mass Hierarchy
• Global Black Branes (Extended Global Defects Surrounded by Horizons), Brane Worlds and the Cosmological Constant

Cited by in corpus (1)

• The number of eigenstates: counting function and heat kernel