Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Hierarchy Problem and New Dimensions at a Millimeter   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
weakness of gravity on distances $\gsim$ 1 mm is due to the existence of $n
\geq 2$ new compact spatial dimensions large compared to the weak scale. The
Planck scale $M_{Pl} \sim G_N^{-1/2}$ is not a fundamental scale; its enormity
is simply a consequence of the large size of the new dimensions. While
gravitons can freely propagate in the new dimensions, at sub-weak energies the
Standard Model (SM) fields must be localized to a 4-dimensional manifold of
weak scale "thickness" in the extra dimensions. This picture leads to a number
of striking signals for accelerator and laboratory experiments. For the case of
$n=2$ new dimensions, planned sub-millimeter measurements of gravity may
observe the transition from $1/r^2 \to 1/r^4$ Newtonian gravitation. For any
number of new dimensions, the LHC and NLC could observe strong quantum
gravitational interactions. Furthermore, SM particles can be kicked off our 4
dimensional manifold into the new dimensions, carrying away energy, and leading
to an abrupt decrease in events with high transverse momentum $p_T \gsim$ TeV.
For certain compact manifolds, such particles will keep circling in the extra
dimensions, periodically returning, colliding with and depositing energy to our
four dimensional vacuum with frequencies of $ \sim 10^{12}$ Hz or larger. As a
concrete illustration, we construct a model with SM fields localised on the
4-dimensional throat of a vortex in 6 dimensions, with a Pati-Salam gauge
symmetry $SU(4) \times SU(2) \times SU(2)$ in the bulk.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: math
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys