Nontopological global field dynamics

Journal Article · Sat Aug 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.1858· OSTI ID:7258820

Perivolaropoulos, L ^[1]

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1. Division of Theoretical Astrophysics, MS-51, Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, Massachusetts 02138 (United States) Department of Physics, Brown University, Providence, Rhode Island 02912 (United States)

We use arguments based on Derrick's theorem to show that the property of collapse, which is the key feature of global texture, appears in several field theory models with broken global O({ital N}) symmetry. Such models do not necessarily have a nontrivial third homotopy group of the vacuum manifold but may give rise to collapsing global field configurations with properties similar to textures. It is verified that configurations with planar and cylindrical geometries do not collapse. The existence of critical parameters for collapse of spherically symmetric global field configurations is verified both analytically and numerically.

• DOE Contract Number: AC02-76ER03130
• OSTI ID: 7258820
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
DYNAMICAL GROUPS
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
FUNCTIONS
LAGRANGIAN FUNCTION
LIE GROUPS
O GROUPS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE TRANSFORMATIONS
SCALAR FIELDS
SYMMETRY BREAKING
SYMMETRY GROUPS