Statistics – Applications
Scientific paper
Jun 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.6379r&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 12, 15 June 1994, pp.6379-6384
Statistics
Applications
11
Particle-Theory And Field-Theory Models Of The Early Universe, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity
Scientific paper
We use the large-N approximation to investigate the nonminimal gravitational coupling ξRφ2 of the scalar bound state in the O(N)-symmetric vector model with a cphi4 interaction. If the elementary scalar field is minimally coupled to gravity, ξ is found to assume values in the interval [-1,0] only. For the conformally invariant coupling of the elementary boson, the bound state is always minimally coupled (ξ=0). The induced ξ term is also calculated for spontaneous and explicit symmetry breaking from O(N) to O(N-1) when the resulting Goldstone bosons can form bound states. The nonminimal gravitational coupling of scalars has important applications in inflationary cosmology.
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