Department of Mathematical Sciences
University of Liverpool
Liverpool L69 7ZL
+44 151 794 3778 (Office)
+44 7568 168895 (Mobile)
Schedule a meeting or call
Curriculum Vitae (last modified 30 October 2022)
I am a Lecturer in theoretical physics at the University of Liverpool, and a UK Research & Innovation (UKRI) Future Leader Fellow. I previously held postdoctoral research positions at the University of Bern, Syracuse University and the University of Colorado Boulder after studying at Amherst College and completing my PhD at Boston University. For shorter periods I have worked at the International Centre for Theoretical Sciences, Bangalore; the Kavli Institute for Theoretical Physics, Santa Barbara; the Humboldt University of Berlin; the Aspen Center for Physics; the National Center for Theoretical Sciences, Taipei; Lawrence Livermore National Lab; and CERN, the European Organization for Nuclear Research. In addition to these institutions I have been supported by the US Department of Energy, the US National Science Foundation, the National Science Council of Taiwan, and the UK Science and Technology Facilities Council.
Research [complete overview, GitHub]
I use advanced computing to gain insight into strongly interacting quantum field theories, primarily in the context of high-energy particle physics. I employ lattice field theory, a non-perturbative framework that enables first-principles investigations of strongly coupled systems. Making use of lattice regularization as a broadly applicable tool, I address questions that are important both theoretically and phenomenologically, within and beyond the standard model of particle physics.
My work currently focuses on composite dark matter, composite Higgs models, supersymmetric lattice field theories, and the application of quantum computing to avoid so-called sign problems. Postdoctoral researcher Chris Culver is working with me to help develop quantum simulation for lattice field theory, funded by the UKRI project New Frontiers of Lattice Field Theory.
A central aspect of my research is the development and deployment of software for high-performance parallel computing. I do the bulk of my code development publicly through GitHub, and whenever possible I release my programs under open-source free software licenses such as the GNU General Public License.
In order both to contribute to public engagement with science and to recognize taxpayer support of my work over the years, I write non-technical (or at least less-technical) descriptions of my research projects for interested non-experts. Experts can find my recent publications below.
I am currently supervising two PhD students. Felix Springer is using density-of-states methods to research first-order phase transitions connected to composite dark matter and gravitational waves. Angel Sherletov is researching supersymmetric lattice field theories, targeting numerical analyses of lower-dimensional supersymmetric QCD. PhD opportunities at Liverpool are collected here.
I am available to supervise projects in theoretical physics for U. Liverpool undergraduate and MSc students. Information on the corresponding project modules is available through the maths intranet (login required). I can suggest a few possible topics for projects, some of which should eventually appear on the intranet as well.
Teaching [complete list]
At Liverpool I am currently teaching third-year undergraduate Statistical Physics (MATH327). Although online resources for this module are organized through the University's Virtual Learning Environment, some are available here.
Elsewhere I recently taught Lattice Supersymmetric Field Theories in 2022 at the International Centre for Theoretical Sciences in Bengaluru, and Lattice Field Theory Algorithms at the 2021 Bad Honnef Physics School. Previous teaching includes a postgraduate course on New strong dynamics beyond the standard model, at the University of Bern, as well as informal courses on Advanced quantum field theory at the University of Colorado and at Syracuse University. Some of the online resources for these courses, in particular solutions to textbook exercises, are password protected.
Recent publications and preprints [complete list, INSPIRE, ORCID, arXiv, Google]
Refereed journal articles
Lattice studies of supersymmetric gauge theories
European Physical Journal Special Topics 232:305 (2023) [arXiv:2208.03580, INSPIRE]
Non-perturbative phase structure of the bosonic BMN matrix model
Navdeep Singh Dhindsa, Raghav G. Jha, Anosh Joseph, Abhishek Samlodia and David Schaich
Journal of High Energy Physics 2205:169 (2022) [arXiv:2201.08791, INSPIRE]
Data release at doi:10.5281/zenodo.6462432
Goldstone boson scattering with a light composite scalar
LSD Collaboration: Thomas Appelquist, Richard C. Brower, Kimmy K. Cushman, George T. Fleming, Andrew Gasbarro, Anna Hasenfratz, James Ingoldby, Xiao-Yong Jin, Joe Kiskis, Ethan T. Neil, James C. Osborn, Claudio Rebbi, Enrico Rinaldi, David Schaich, Pavlos Vranas, Evan Weinberg and Oliver Witzel
Physical Review D 105:034505 (2022, Editors' Suggestion) [arXiv:2106.13534, INSPIRE]
Eigenvalue spectrum and scaling dimension of lattice N=4 supersymmetric Yang–Mills
Georg Bergner and David Schaich
Journal of High Energy Physics 2104:260 (2021) [arXiv:2102.06775, INSPIRE]
Stealth dark matter confinement transition and gravitational waves
LSD Collaboration: Richard C. Brower, Kimmy Cushman, George T. Fleming, Andrew Gasbarro, Anna Hasenfratz, Xiao-Yong Jin, Graham D. Kribs, Ethan T. Neil, James C. Osborn, Claudio Rebbi, Enrico Rinaldi, David Schaich, Pavlos Vranas and Oliver Witzel
Physical Review D 103:014505 (2021) [arXiv:2006.16429, INSPIRE]
Data release at doi:10.5281/zenodo.3921870
Near-conformal dynamics in a chirally broken system
LSD Collaboration: Thomas Appelquist, Richard C. Brower, Kimmy K. Cushman, George T. Fleming, Andrew D. Gasbarro, Anna Hasenfratz, Xiao-Yong Jin, Ethan T. Neil, James C. Osborn, Claudio Rebbi, Enrico Rinaldi, David Schaich, Pavlos Vranas and Oliver Witzel
Physical Review D 103:014504 (2021) [arXiv:2007.01810, INSPIRE]
Three-dimensional super-Yang–Mills theory on the lattice and dual black branes
Simon Catterall, Raghav G. Jha, David Schaich and Toby Wiseman
Physical Review D 102:106009 (2020) [arXiv:2010.00026, INSPIRE]
Data release at doi:10.5281/zenodo.4059476
Nonpeturbative investigations of SU(3) gauge theory with eight dynamical flavors
LSD Collaboration: Thomas Appelquist, Richard C. Brower, George T. Fleming, Andrew Gasbarro, Anna Hasenfratz, Xiao-Yong Jin, Ethan T. Neil, James C. Osborn, Claudio Rebbi, Enrico Rinaldi, David Schaich, Pavlos Vranas, Evan Weinberg and Oliver Witzel
Physical Review D 99:014509 (2019) [arXiv:1807.08411, INSPIRE]
SO(4) invariant Higgs-Yukawa model with reduced staggered fermions
Nouman Butt, Simon Catterall and David Schaich
Physical Review D 98:114514 (2018) [arXiv:1810.06117, INSPIRE]
Investigations of supersymmetric Yang--Mills theories
Angel Sherletov and David Schaich
Proceedings of Science LATTICE2021:031 (2022) [arXiv:2201.08626, INSPIRE]
Density of states for gravitational waves
Felix Springer and David Schaich
Proceedings of Science LATTICE2021:043 (2022) [arXiv:2112.11868, INSPIRE]
Quantum computing for lattice supersymmetry
Christopher Culver and David Schaich
Proceedings of Science LATTICE2021:153 (2022) [arXiv:2112.07651, INSPIRE]
Recent presentations [complete list, map]
Lattice studies of three-dimensional super-Yang–Mills, Program on Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography, International Centre for Theoretical Sciences, Bengaluru, 29 August 2022 [recording]
Numerical methods in lattice supersymmetry, Workshop on Numerical Methods in Theoretical Physics, Asia Pacific Center for Theoretical Physics, Pohang, 18 May 2022 [recording]
Lattice strong dynamics for composite Higgs sectors, University of Liverpool Theoretical Physics Seminar, 27 April 2022
Composite dark matter and the role of lattice field theory, Dublin Institute for Advanced Studies Theoretical Physics Seminar, 17 November 2021 [recording]
Supersymmetric Yang–Mills theories on the lattice, Imperial College London String Seminar, 27 October 2021
Lattice studies of supersymmetric Yang–Mills in 2+1 dimensions, Workshop on Relativistic Fermions in Flatland, ECT* Trento, 9 July 2021 [recording]
Lattice strong dynamics for composite Higgs sectors, Swansea University Theory Seminar, 11 June 2021
Broader applications of lattice field theory, UK Lattice Field Theory Virtual Centre kick-off event, 24 March 2021
Progress and prospects of lattice supersymmetry, Program on Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography, International Centre for Theoretical Sciences, Bengaluru, 18 January 2021 [recording]
Exploring conformality in lattice N=4 super-Yang–Mills, Lattice 2022, Bonn, 8 August 2022
Thermal phase structure of dimensionally reduced super-Yang–Mills, Lattice 2021, MIT, 29 July 2021 [recording]
Stealth dark matter and gravitational waves, Lattice 2019, Wuhan, 19 June 2019
Last modified 6 April 2023