How to get masses from extra dimensions

Scherk, Joël; Schwarz, John H.

doi:10.1016/0550-3213(79)90592-3

Cited by 1,049 publications

(1,221 citation statements)

References 25 publications

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“…This is the Hosotani mechanism [34]. In the spontaneously broken phase, although we can by a gauge transformation set A 5 = 0, this is at the expense of a non-trivial Scherk-Schwarz twist in periodicity conditions for A [51] (as we review in sec. 4) which also breaks the gauge group.…”

Section: Renormalizability With Matter and Branesmentioning

confidence: 99%

Renormalizable extra-dimensional models

Morris

2005

J. High Energy Phys.

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Non-Abelian gauge theories may have continuum limits in more than four dimensions, supported by non-trivial ultra-violet fixed points. Moreover, such theories can be expected to be accessible to Wilson's epsilon expansion. We investigate this series for SU (N ) Yang-Mills, in particular for the fixed point coupling and exponent ν, up to four loops. From the model-building point of view, such theories would be effectively perturbatively renormalizable in the normal way. A particularly attractive possibility is the construction of renormalizable extra-dimensional models of the weak interactions, which have the potential to address the full hierarchy problem. The simplest such gauge-Higgs unification model is however ruled out by a combination of theoretical and phenomenological constraints.

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Section: Renormalizability With Matter and Branesmentioning

confidence: 99%

Renormalizable extra-dimensional models

Morris

2005

J. High Energy Phys.

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“…Contrast this to the field theory situation where such a tensor does exist, namely the structure constants d αβγ of the 'flat group' that is associated with the Scherk-Schwarz mechanism [3], and where indeed trilinear terms in A α are present. From the viewpoint of finiteness, it is easy to see that such cubics are always proportional to the trace of the fermion mass matrix.…”

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confidence: 85%

“…This follows directly from demanding that the worldsheet supercurrent has NSR boundary conditions and is related to the preservation of Lorentz invariance in the light cone gauge. 3 Because of this similarity with gauge Wilson lines, one can, as in the standard case, express the internal zero mode contributions to the 2-d scaling dimension and spin, H =…”

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confidence: 99%

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Finite soft terms in string compactifications with broken supersymmetry

Shah¹,

Thomas²

1997

Physics Letters B

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We consider the role of supersymmetry breaking soft terms that are present in generalized Narain compactifications of heterotic string theory, in which local supersymmetry is spontaneously broken, with gravitino masses being inversely proportional to the radii of compact dimensions. Such compactifications and their variants, are thought to be the natural application of the Scherk-Schwarz mechanism to string theory. In this paper we show that in the case where this mechanism leads to spontaneous breaking of N = 4, d = 4 local supersymmetry, the limit κ → 0 yields a 2-parameter class of distinct, dimension ≤ 3 explicit soft terms whose precise form are shown to preserve the ultraviolet properties of N = 4 Super Yang-Mills theory. This result is in broad agreement with that of the field theory Scherk-Schwarz mechanism, as applied to N = 1, d = 10 supergravity coupled to Super Yang-Mills, although the detailed structure of the soft terms are different in general.1

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“…This can have important consequences for high precision experiments measuring the difference in the gravitational acceleration of the proton and the antiproton [7]. A review of earlier ideas about antigravity is found in [8].The N = 2, 8 supergravity multiplets contain, in addition to the graviton, a vector field A l µ [9], [10,11]. This field, which we refer to as the gravivector, carries antigravity, because it couples to quarks and leptons with a positive sign and to antiquark and antileptons with a negative one.…”

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confidence: 99%

Phenomenology of Antigravity in N=2, 8 Supergravity

Bellucci

1999

International Europhysics Conference on High Energy Physics

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Abstract. N = 2, 8 supergravity predicts antigravity (gravivector and graviscalar) fields in the graviton supermultiplet. Data on the binary pulsar PSR 1913+16, tests of the equivalence principle and searches for a fifth force yield an upper bound of order 1 meter (respectively, 100 meters) on the range of the gravivector (respectively, graviscalar) interaction. Hence these fields are not important in non-relativistic astrophysics (for the weak-field limit of N = 2, 8 supergravity) but can play a role near black holes and for primordial structures in the early universe of a size comparable to their Compton wavelengths.The quest for a unified description of elementary particle and gravity theories led to local supersymmetry [1]. The large symmetry content of supergravity yields, in spite of its lack of renormalizability, powerful constraints on physical observables, e.g. anomalous magnetic moments [2].It has been shown that a clear case for antigravity theories arises, when considering N > 1 supergravity theories [3, 4]. Combining laboratory data together with geophysical and astronomical observations has provided us restrictions on the antigravity features of some extended supergravity theories [5,6]. This can have important consequences for high precision experiments measuring the difference in the gravitational acceleration of the proton and the antiproton [7]. A review of earlier ideas about antigravity is found in [8].The N = 2, 8 supergravity multiplets contain, in addition to the graviton, a vector field A l µ [9], [10,11]. This field, which we refer to as the gravivector, carries antigravity, because it couples to quarks and leptons with a positive sign and to antiquark and antileptons with a negative one. The coupling is proportional to the mass of the matter fields and vanishes for self-conjugated particles. The other antigravity field is the scalar σ entering the N = 8 supergravity multiplet [3, 4]. We refer to it as the graviscalar.We are bound, in force of the result of the Eötvös experiment, to take a nonvanishing mass for the field A l µ [3, 4].where the Higgs mechanism has been invoked. The presence of the gravivector in the theory introduces a violation of the equivalence principle on a range of distances of order the Compton wavelength R l . At present, the equivalence principle is verified with a precision |δγ/γ| <

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How to get masses from extra dimensions

Cited by 1,049 publications

References 25 publications

Renormalizable extra-dimensional models

Renormalizable extra-dimensional models

Finite soft terms in string compactifications with broken supersymmetry

Phenomenology of Antigravity in N=2, 8 Supergravity

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