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These pages provide non-technical (or at least less-technical) descriptions of my research projects, intended for the general public. I write them both to contribute to public engagement with science and to recognize taxpayer support of my work over the years. Experts may prefer this more technical summary. If you have any questions about my work, or comments on this attempt to present it as comprehensibly and correctly as I can, you are welcome to contact me.

The essence of my research is to use high-performance computing to gain insight into strongly interacting quantum field theories, through a framework known as lattice gauge theory. This page provides some background on strong dynamics and lattice gauge theory. Below I summarize various projects I've carried out over the years, each of which his its own page providing further information (currently being updated throughout September 2017). For each project I also link my related publications, all of which are freely available online, mostly through the arXiv e-print server.

It is important to note that all of this work involves various forms of collaboration, reflected in part by the authorship of those publications. These pages reflect my own views and interests, and I am solely responsible for any errors or omissions.

Supersymmetric lattice field theories

Supersymmetry image While supersymmetry is most famous as a possible extension of the standard model of particle physics, at a more fundamental level it simplifies the systems in question, making them excellent testbeds to explore strongly interacting dynamics. These explorations have produced, for example, the concept of holographic duality between field theories and higher-dimensional gravity. Lattice calculations provide a unique means to study supersymmetric field theories from first principles, allowing tests of such dualities as well as insight into regimes where dualities may break down. Full discussion.

Related publications: arXiv:1611.06561, Lat16:209, arXiv:1512.01137, arXiv:1508.00884, arXiv:1505.03135, arXiv:1411.0166, arXiv:1410.6971, arXiv:1405.0644

Composite Higgs physics and electroweak phenomenology

Composite Higgs image The Higgs boson discovered in 2012 may be a composite particle arising from new strong dynamics beyond the standard model. Full discussion.

Related publications: arXiv:1601.04027, arXiv:1405.4752, arXiv:1310.7006, arXiv:1309.1206, arXiv:1201.3977, arXiv:1111.4993, PhD dissertation, arXiv:1009.5967, arXiv:1002.3777, arXiv:0910.2224

Conformal and near-conformal strong dynamics

Conformality image Full discussion.

Related publications: arXiv:1610.10004, arXiv:1506.08791, arXiv:1410.5886, arXiv:1404.0984, arXiv:1401.0195, arXiv:1311.4889, arXiv:1311.2679, arXiv:1311.1287, arXiv:1310.1124, arXiv:1309.1206, arXiv:1303.7129, arXiv:1301.1355, arXiv:1212.0053, arXiv:1207.7164, arXiv:1207.7162, arXiv:1204.6000, arXiv:1111.2317, arXiv:1106.2148

Quantum chromodynamics at non-zero baryon density

Finite density image Full discussion.

Composite dark matter

Dark matter image Full discussion.

Related publications: arXiv:1503.04205, arXiv:1503.04203, arXiv:1402.6656, arXiv:1301.1693

Topological phases and topological phase transitions

Four-fermion image Full discussion.

Related publication: arXiv:1609.08541

Strange quark content of the nucleon

Strangeness image Quantum fluctuations in the strange-quark field affect the properties of composite particles even when the quantum numbers of those composite particles don't depend on strange quarks. This is the case for nucleons (protons and neutrons), where the strange-quark contribution to the mass of the nucleon play a role in searches for dark matter in large underground detectors. I have used lattice QCD to investigate strange-quark contributions both to the mass and to the internal structure of nucleons, which requires challenging computations of quark-line-disconnected diagrams. Full discussion.

Related publications: Lat12:166, arXiv:1012.0562


Graphene image Full discussion.

Related publications: arXiv:1204.5424, arXiv:1101.5131

Algorithm development

Algorithms image Full discussion.

Related publications: arXiv:1403.2761, arXiv:0906.2813, arXiv:0902.0045, Bachelor thesis

Last modified 2 September 2017

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