Clash of symmetries in a Randall-Sundrum-like spacetime

Journal Article · Mon Aug 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.045016· OSTI ID:20711380

Dando, Gareth; George, Damien P; Volkas, Raymond R ^[1]; Davidson, Aharon ^[2]; Wali, K C ^[3]

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1. School of Physics, Research Centre for High Energy Physics, University of Melbourne, Victoria 3010 (Australia)
2. Physics Department, Ben-Gurion University of the Negev, Beer-Sheva 84105 (Israel)
3. Physics Department, Syracuse University, Syracuse, New York 13244-1130 (United States)

We present a toy model that exhibits clash-of-symmetries style Higgs field kink configurations in a Randall-Sundrum-like spacetime. The model has two complex scalar fields {phi}{sub 1,2}, with a sextic potential obeying global U(1)xU(1) and discrete {phi}{sub 1}{r_reversible}{phi}{sub 2} interchange symmetries. The scalar fields are coupled to 4+1 dimensional gravity endowed with a bulk cosmological constant. We show that the coupled Einstein-Higgs field equations have an interesting analytic solution provided the sextic potential adopts a particular form. The 4+1 metric is shown to be that of a smoothed-out Randall-Sundrum type of spacetime. The thin-brane Randall-Sundrum limit, whereby the Higgs field kinks become step functions, is carefully defined in terms of the fundamental parameters in the action. The 'clash-of-symmetries' feature, defined in previous papers, is manifested here through the fact that both of the U(1) symmetries are spontaneously broken at all nonasymptotic points in the extra dimension w. One of the U(1)'s is asymptotically restored as w{yields}-{infinity}, with the other U(1) restored as w{yields}+{infinity}. The spontaneously broken discrete symmetry ensures topological stability. In the gauged version of this model we find new flat-space solutions, but in the warped metric case we have been unable to find any solutions with nonzero gauge fields.

• OSTI ID: 20711380
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
COSMOLOGICAL CONSTANT
COSMOLOGY
FIELD EQUATIONS
GRAVITATION
HIGGS BOSONS
HIGGS MODEL
POTENTIALS
QUANTUM FIELD THEORY
SCALAR FIELDS
SPACE-TIME
SYMMETRY
TOPOLOGY
U-1 GROUPS