  The AWAKE experiment had a very successful Run 1 (2016-8), demonstrating
proton-driven plasma wakefield acceleration for the first time, through the
observation of the modulation of a long proton bunch into micro-bunches and the
acceleration of electrons up to 2 GeV in 10 m of plasma. The aims of AWAKE Run
2 (2021-4) are to have high-charge bunches of electrons accelerated to high
energy, about 10 GeV, maintaining beam quality through the plasma and showing
that the process is scalable. The AWAKE scheme is therefore a promising method
to accelerate electrons to high energy over short distances and so develop a
useable technology for particle physics experiments. Using proton bunches from
the SPS, the acceleration of electron bunches up to about 50 GeV should be
possible. Using the LHC proton bunches to drive wakefields could lead to
multi-TeV electron bunches, e.g. with 3 TeV acceleration achieved in 4 km of
plasma. This document outlines some of the applications of the AWAKE scheme to
particle physics and shows that the AWAKE technology could lead to unique
facilities and experiments that would otherwise not be possible. In particular,
experiments are proposed to search for dark photons, measure strong field QED
and investigate new physics in electron-proton collisions. The community is
also invited to consider applications for electron beams up to the TeV scale.
