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arXiv:1911.06022 · Springer proceedings in physics

Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory

Alvaro Ferraz, Kumar S. Gupta, Gordon Walter Semenoff, Pasquale Sodano

Published Jan 1, 2020• 24 citations
arXivHTMLPDF
DOI
10.1007/978-3-030-35473-2

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A two and half day workshop at Boston University, devoted to a discussion of common problems in the theoretical and computational study of particle physics and condensed matter. The phase structure of strongly coupled quantum field theories are of great interest in condensed matter and high energy physics. For example, the study of strongly correlated systems, such as frustrated quantum anti-ferromagnets, have suggested the existence of phases in which the low energy excitations do not have the quantum numbers of electrons but are fractionalized. The field description of such systems are typically topological quantum field theories. The latter have also proved important in constructing supersymmetric lattice gauge theories. Quantum critical systems in condensed matter are described by conformal field theories which have the subject of much recent work in the context of theories of Beyond Standard Model physics. Finally, theoretical holographic techniques originating in string theory may offer a new tool to investigate strongly interacting electrons. In parallel with these theoretical developments there has been rapid progress in computational methods in both fields; from tensor networks and density matrix renormalization group techniques to the rational hybrid Monte Carlo algorithm and techniques to ameliorate the famous sign problem. It is thus a propitious time to bring both communities together to stimulate an exchange of ideas and facilitate possible future collaborations.