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The hierarchy problem and new dimensions at a millimeter
, 2008
"... We propose a new framework for solving the hierarchy problem which does not rely on either supersymmetry or technicolor. In this framework, the gravitational and gauge interactions become united at the weak scale, which we take as the only fundamental short distance scale in nature. The observed wea ..."
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Cited by 664 (5 self)
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weakness of gravity on distances> ∼ 1 mm is due to the existence of n ≥ 2 new compact spatial dimensions large compared to the weak scale. The Planck scale MPl ∼ G −1/2 N is not a fundamental scale; its enormity is simply a consequence of the large size of the new dimensions. While gravitons can freely
A large mass hierarchy from a small extra dimension
, 1999
"... We propose a new higherdimensional mechanism for solving the hierarchy problem. The weak scale is generated from a large scale of order the Planck scale through an exponential hierarchy. However, this exponential arises not from gauge interactions but from the background metric (which is a slice of ..."
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Cited by 1077 (3 self)
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is fundamentally higher dimensional with 4+n spacetime dimensions, then the effective fourdimensional (reduced) Planck scale, MPl = 2 ×10 18 GeV, is determined by the fundamental (4+n)dimensional Planck scale, M, and the geometry of the extra dimensions.
The quantum structure of spacetime at the Planck scale and quantum fields
 COMMUN. MATH. PHYS. 172, 187–220 (1995)
, 1995
"... We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg’s principle and by Einstein’s theory of classical gravity. A model of Quantum Spacetime is then discussed where the commutation relations exactly implement our uncertainty relations. We outl ..."
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Cited by 332 (6 self)
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of interacting QFT and of the smoothing of ultraviolet divergences is deferred to a subsequent paper. In the classical limit where the Planck length goes to zero, our Quantum Spacetime reduces to the ordinary Minkowski space times a two component space whose components are homeomorphic to the tangent bundle TS 2
PROTON DECAY AND THE PLANCK SCALE ∗
, 2004
"... Even without grand unification, proton decay can be a powerful probe of physics at the highest energy scales. Supersymmetric theories with conserved Rparity contain Plancksuppressed dimension 5 operators that give important contributions to nucleon decay. These operators are likely controlled by f ..."
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by the Planck scale, MPl [1]. It is also often sloppily said that Rparity prohibits proton decay in SUSY theories. Though Rparity prohibits the renormalizable B and Lviolating operators, it still allows the nonrenormalizable superpotential terms 1 M QQQL and 1 M UUDE, which contain dimension five operators
PLANCKSUSY new program for SUSY masses calculations: from Planck scale to our reality
, 1996
"... We describe briefly new program for SUSY masses calculations. The main distinction of our program is that we start to solve the renormalization group equations for soft SUSY breaking parameters for SU(5) SUSY GUT model from Planck scale MPL = 2.4 · 10 18 Gev. Our program works also for large tan(β). ..."
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We describe briefly new program for SUSY masses calculations. The main distinction of our program is that we start to solve the renormalization group equations for soft SUSY breaking parameters for SU(5) SUSY GUT model from Planck scale MPL = 2.4 · 10 18 Gev. Our program works also for large tan
Abstract
, 2000
"... We argue that the familiar gauge hierarchy between the fundamental Planck scale MPl and the electroweak scale MW, can be naturally explained in higher dimensional theories with relatively large radii (Rc> 1/MPl) extra dimensions. In particular, we show that it is possible that the electroweak Hig ..."
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We argue that the familiar gauge hierarchy between the fundamental Planck scale MPl and the electroweak scale MW, can be naturally explained in higher dimensional theories with relatively large radii (Rc> 1/MPl) extra dimensions. In particular, we show that it is possible that the electroweak
and
, 1994
"... We analyse the highenergy behavior of treelevel graviton Compton amplitudes for particles of mass m and arbitrary spin, concentrating on a combination of forward amplitudes that will be unaffected by eventual crosscouplings to other, higher spins. We first show that for any spin> 2, treelevel ..."
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level unitarity is already violated at energies ∼ √ mMPl, rather than at the Planck scale MPl, even for m ≪ MPl. We then restore unitarity to this amplitude up to MPl by adding nonminimal couplings that depend on the curvature and its derivatives, and modify the minimal description – including particle
log(MPl/m 3/2)
, 2005
"... Abstract. Flux compactifications of string theory seem to require the presence of a finetuned constant in the superpotential. We discuss a scheme where this constant is replaced by a dynamical quantity which we argue to be a ‘continuous Chern– Simons term’. In such a scheme, the gaugino condensate ..."
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scenario of moduli stabilization, which is endowed with a hierarchy between the mass of the lightest modulus, the gravitino mass and the scale of the soft terms, mmodulus ∼ 〈X〉m 3/2 ∼ 〈X 〉 2 msoft. The ‘little hierarchy ’ 〈X 〉 is given by the logarithm of the ratio of the Planck scale and the gravitino
Discreteness of area and volume in quantum gravity
, 2008
"... We study the operator that corresponds to the measurement of volume, in nonperturbative quantum gravity, and we compute its spectrum. The operator is constructed in the loop representation, via a regularization procedure; it is finite, background independent, and diffeomorphisminvariant, and there ..."
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Cited by 242 (35 self)
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of the volume diagonalize also the area operator. We argue that the spectra of volume and area determined here can be considered as predictions of the looprepresentation formulation of quantum gravity on the outcomes of (hypothetical) Planckscale sensitive measurements of the geometry of space.
SCIPP 13/08 Proton Decay at Mpl and the Scale of SUSYBreaking
"... It is sometimes argued that a virtue of pushing the supersymmetry breaking scale above 1 PeV is that no particular flavor structure is required in the soft sector in order to evade bounds on flavorchanging neutral currents. However, without flavor structure, suppressing generic Plancksuppressed co ..."
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It is sometimes argued that a virtue of pushing the supersymmetry breaking scale above 1 PeV is that no particular flavor structure is required in the soft sector in order to evade bounds on flavorchanging neutral currents. However, without flavor structure, suppressing generic Planck
Results 1  10
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2,634