1986
DOI: 10.1103/physrevd.33.1563
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Gravitational Casimir energy in even dimensions

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Cited by 22 publications
(10 citation statements)
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“…According to our preliminary result, in this case the radiatively induced Higgs mass is logarithmically divergent unlike the case of the present paper and the cases of 5D gauge-Higgs unification [3] and 5D GravityGauge-Higgs unification [11] models. This divergence seems to have its origin in the fact that the Casimir energy is logarithmically divergent for the even dimensional spheres [16].…”
Section: Discussionmentioning
confidence: 99%
“…According to our preliminary result, in this case the radiatively induced Higgs mass is logarithmically divergent unlike the case of the present paper and the cases of 5D gauge-Higgs unification [3] and 5D GravityGauge-Higgs unification [11] models. This divergence seems to have its origin in the fact that the Casimir energy is logarithmically divergent for the even dimensional spheres [16].…”
Section: Discussionmentioning
confidence: 99%
“…It was first established in ref. [110]by considering the purely gravitational contribution to the Casimir energy.…”
Section: Self-consistent Einstein Field Equationsmentioning
confidence: 99%
“…[26] that if the "internal" space V"' is a one-parameter manifold, the Einstein equations on M4 X V"' can be written as VCff(aO) = 0, (aVe,tIaa)~a= 0, (12.97) where a is the "radius" of V"' (in our case a = L/ir, where L is the diameter of the symmetric space, (12.72) (the sum is over the different types of matter fields, e.g., scalar, spinor, etc). The gravitational contribution to the Casimir energy can also be included [110], with a corresponding term Ag + Bg ln(p.ga).…”
Section: Self-consistent Einstein Field Equationsmentioning
confidence: 99%
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“…Generalizations to a spacetime structure M 4 ×S N have been done in Candelas & Weinberg (1984) and Chodos & Myers (1985) for odd N and later in Myers (1986) and Kantowski & Milton (1987) for even N. Such generalizations to extra dimension N can be written as…”
Section: Casimir Effect From a Higher Compact Dimensionmentioning
confidence: 99%