  This document is one of a series of whitepapers from the USQCD collaboration.
Here, we discuss opportunities for Lattice Quantum Chromodynamics (LQCD) in the
research frontier in fundamental symmetries and signals for new physics. LQCD,
in synergy with effective field theories and nuclear many-body studies,
provides theoretical support to ongoing and planned experimental programs in
searches for electric dipole moments of the nucleon, nuclei and atoms, decay of
the proton, $n$-$\overline{n}$ oscillations, neutrinoless double-$\beta$ decay
of a nucleus, conversion of muon to electron, precision measurements of weak
decays of the nucleon and of nuclei, precision isotope-shift spectroscopy, as
well as direct dark matter detection experiments using nuclear targets. This
whitepaper details the objectives of the LQCD program in the area of
Fundamental Symmetries within the USQCD collaboration, identifies priorities
that can be addressed within the next five years, and elaborates on the areas
that will likely demand a high degree of innovation in both numerical and
analytical frontiers of the LQCD research.
