Gravitational Casimir energy in even dimensions

Myers, Eric

doi:10.1103/physrevd.33.1563

Cited by 22 publications

(10 citation statements)

References 11 publications

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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%

Six-Dimensional Gauge-Higgs Unification with an Extra SpaceS²and the Hierarchy Problem

2008

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We calculate one-loop radiative correction to the mass of Higgs identified with the extra space components of the gauge field in a six dimensional massive scalar QED compactified on a two-sphere. The radiatively induced Higgs mass is explicitly shown to be finite for arbitrary bulk scalar mass M. Furthermore, the remaining finite part also turns out to vanish, at least for the case of small M, thus suggesting that the radiatively induced Higgs mass exactly vanishes, in general. The non-zero "Kaluza-Klein" modes in the gauge sector are argued to have a Higgs-like mechanism and quantum mechanical N = 2 supersymmetry, while the Higgs zero modes, as supersymmetric states, have a close relation with monopole configuration.

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Section: Discussionmentioning

confidence: 99%

Six-Dimensional Gauge-Higgs Unification with an Extra SpaceS²and the Hierarchy Problem

2008

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“…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%

“…[110],try to use the dimensionful parameters p., to obtain the four-dimensional Minkowski space as a solution of the Einstein equations. However, the arbitrary mass scales p.,, coming from the measure in the pathintegral, need not be the same, in principle, for different matter fields, and we would need some additional renormalization condition to uniquely determine both a0 and the p.~.Still we can solve for a0 in terms of the coefficients B, only, with the result (12.99) showing that a positive a 0 can be obtained only if~,B, > 0.…”

Section: Self-consistent Einstein Field Equationsmentioning

confidence: 99%

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Harmonic analysis and propagators on homogeneous spaces

1990

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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%

Can dark energy emerge from quantum effects in a compact extra dimension?

Dupays

Lamine

Blanchard

2013

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The origin of the accelerated expansion of the universe is a major problem in both modern cosmology and theoretical physics. In quantum field theory, simple estimations of the vacuum contribution to the density energy of the Universe are known to lead to catastrophically high values compared to observations. A gravitational Casimir effect from an additional compact dimension of space is known to lead to an effective cosmological constant. Nevertheless, such a contribution by itself is usually not regarded as a plausible source for accelerating the expansion, given the constraints on such scenarios. Here, we propose that the Casimir vacuum contribution of the gravitational field actually provides a low positive value to the density energy of the universe. The key new ingredient is to assume that only modes with shorter wavelengths than the Hubble radius contribute to the vacuum energy. Such a contribution gives a positive energy density, has a naturally Lorentz invariant equation of state in the usual 4D spacetime, and can thus be interpreted as a cosmological constant. Its value agrees with observations for a radius of a fifth extra dimension given by 35 µm. The implied modification of the gravitational inverse square law is close but below existing limits from experiments testing gravity at short range.

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Gravitational Casimir energy in even dimensions

Cited by 22 publications

References 11 publications

Six-Dimensional Gauge-Higgs Unification with an Extra SpaceS²and the Hierarchy Problem

Six-Dimensional Gauge-Higgs Unification with an Extra SpaceS²and the Hierarchy Problem

Harmonic analysis and propagators on homogeneous spaces

Can dark energy emerge from quantum effects in a compact extra dimension?

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Gravitational Casimir energy in even dimensions

Cited by 22 publications

References 11 publications

Six-Dimensional Gauge-Higgs Unification with an Extra SpaceS2and the Hierarchy Problem

Six-Dimensional Gauge-Higgs Unification with an Extra SpaceS2and the Hierarchy Problem

Harmonic analysis and propagators on homogeneous spaces

Can dark energy emerge from quantum effects in a compact extra dimension?

Contact Info

Product

Resources

About

Six-Dimensional Gauge-Higgs Unification with an Extra SpaceS²and the Hierarchy Problem

Six-Dimensional Gauge-Higgs Unification with an Extra SpaceS²and the Hierarchy Problem