Dr David Schaich

Reader Mathematical Sciences

+44 (0)151 794 3778 Ext. 43778
Work email David.Schaich@liverpool.ac.uk
Personal Websitehttp://www.davidschaich.net

Publications

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2023

Stealth dark matter spectrum using LapH and Irreps (Preprint)

Phase diagram of two-dimensional SU($N$) super-Yang--Mills theory with four supercharges (Preprint)

First-order bulk transitions in large-$N$ lattice Yang--Mills theories using the density of states (Preprint)

Hidden conformal symmetry from the lattice (Journal article)

Appelquist, T., Brower, R. C., Cushman, K. K., Fleming, G. T., Gasbarro, A., Hasenfratz, A., . . . Witzel, O. (n.d.). Hidden conformal symmetry from the lattice. Physical Review D, 108(9). doi:10.1103/physrevd.108.l091505

DOI: 10.1103/physrevd.108.l091505

Deconfinement Phase Transition in Bosonic BMN Model at General Coupling (Preprint)

Light Scalar Meson and Decay Constant in SU(3) Gauge Theory with Eight Dynamical Flavors (Preprint)

Lattice Studies of 3D Maximally Supersymmetric Yang--Mills (Conference Paper)

Sherletov, A., & Schaich, D. (2023). Lattice Studies of 3D Maximally Supersymmetric Yang--Mills. In Proceedings of Science Vol. LATTICE2022 (pp. 221). Sissa Medialab. doi:10.22323/1.430.0221

DOI: 10.22323/1.430.0221

Exploring conformality in lattice N=4 supersymmetric Yang--Mills (Conference Paper)

Schaich, D. (2023). Exploring conformality in lattice N=4 supersymmetric Yang--Mills. In Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022). Sissa Medialab. doi:10.22323/1.430.0220

DOI: 10.22323/1.430.0220

Quantum Computing for the Wess--Zumino Model (Conference Paper)

Culver, C., & Schaich, D. (2023). Quantum Computing for the Wess–Zumino Model. In Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022). Sissa Medialab. doi:10.22323/1.430.0008

DOI: 10.22323/1.430.0008

Advances in using density of states for large-N Yang--Mills (Conference Paper)

Springer, F., & Schaich, D. (2023). Advances in using density of states for large-N Yang–Mills. In Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022). Sissa Medialab. doi:10.22323/1.430.0223

DOI: 10.22323/1.430.0223

2022

Lattice studies of supersymmetric gauge theories (Journal article)

Schaich, D. (2023). Lattice studies of supersymmetric gauge theories. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 232(3), 305-320. doi:10.1140/epjs/s11734-022-00708-1

DOI: 10.1140/epjs/s11734-022-00708-1

Lattice QCD and Particle Physics (Internet publication)

Kronfeld, A. S., Bhattacharya, T., Blum, T., Christ, N. H., DeTar, C., Detmold, W., . . . Zhao, Y. (2022). Lattice QCD and Particle Physics. Retrieved from http://arxiv.org/abs/2207.07641v2

Investigations of supersymmetric Yang--Mills theories (Conference Paper)

Sherletov, A., & Schaich, D. (2022). Investigations of supersymmetric Yang--Mills theories. Retrieved from http://arxiv.org/abs/2201.08626v1

Non-perturbative phase structure of the bosonic BMN matrix model (Journal article)

Dhindsa, N. S., Jha, R. G., Joseph, A., Samlodia, A., & Schaich, D. (2022). Non-perturbative phase structure of the bosonic BMN matrix model. JOURNAL OF HIGH ENERGY PHYSICS, (5). doi:10.1007/JHEP05(2022)169

DOI: 10.1007/JHEP05(2022)169

Thermal phase structure of dimensionally reduced super-Yang--Mills (Conference Paper)

Schaich, D., Jha, R. G., & Joseph, A. (2022). Thermal phase structure of dimensionally reduced super-Yang--Mills. In Proc. Sci. LATTICE Vol. 2021 (pp. 187). Retrieved from http://dx.doi.org/10.22323/1.396.0187

Progress applying density of states for gravitational waves (Conference Paper)

Springer, F., & Schaich, D. (2022). Progress applying density of states for gravitational waves. In A. Rothkopf, N. Brambilla, L. Tolos, A. Tranberg, A. Kurkela, D. Roehrich, . . . V. Vento (Eds.), EPJ Web of Conferences Vol. 274 (pp. 08008). EDP Sciences. doi:10.1051/epjconf/202227408008

DOI: 10.1051/epjconf/202227408008

2021

Density of states for gravitational waves (Conference Paper)

Springer, F., & Schaich, D. (2021). Density of states for gravitational waves. Retrieved from http://arxiv.org/abs/2112.11868v1

DOI: 10.22323/1.396.0043

Quantum computing for lattice supersymmetry (Conference Paper)

Culver, C., & Schaich, D. (2021). Quantum computing for lattice supersymmetry. Retrieved from http://arxiv.org/abs/2112.07651v1

Large-N limit of two-dimensional Yang--Mills theory with four supercharges (Conference Paper)

Dhindsa, N. S., Jha, R. G., Joseph, A., & Schaich, D. (2021). Large-$N$ limit of two-dimensional Yang--Mills theory with four supercharges. Retrieved from http://dx.doi.org/10.22323/1.396.0433

Eigenvalue spectrum and scaling dimension of lattice $\mathcal N = 4$ supersymmetric Yang--Mills (Journal article)

Bergner, G., & Schaich, D. (2021). Eigenvalue spectrum and scaling dimension of lattice N=4 supersymmetric Yang-Mills. JOURNAL OF HIGH ENERGY PHYSICS, (4). doi:10.1007/JHEP04(2021)260

DOI: 10.1007/JHEP04(2021)260

2020

Three-dimensional super-Yang--Mills theory on the lattice and dual black branes (Journal article)

Catterall, S., Giedt, J., Jha, R. G., Schaich, D., & Wiseman, T. (2020). Three-dimensional super-Yang-Mills theory on the lattice and dual black branes. PHYSICAL REVIEW D, 102(10). doi:10.1103/PhysRevD.102.106009

DOI: 10.1103/PhysRevD.102.106009

Exotic Phases of a Higgs-Yukawa Model with Reduced Staggered Fermions (Conference Paper)

Catterall, S., Butt, N., & Schaich, D. (2020). Exotic Phases of a Higgs-Yukawa Model with Reduced Staggered Fermions. In Proceedings of Science Vol. LATTICE2019 (pp. 044). Wuhan, China. doi:10.22323/1.363.0044

DOI: 10.22323/1.363.0044

Near-conformal dynamics in a chirally broken system (Journal article)

Appelquist, T., Brower, R. C., Cushman, K. K., Fleming, G. T., Gasbarro, A. D., Hasenfratz, A., . . . Witzel, O. (2021). Near-conformal dynamics in a chirally broken system. PHYSICAL REVIEW D, 103(1). doi:10.1103/PhysRevD.103.014504

DOI: 10.1103/PhysRevD.103.014504

Stealth dark matter confinement transition and gravitational waves (Journal article)

Brower, R. C., Cushman, K., Fleming, G. T., Gasbarro, A., Hasenfratz, A., Jin, X. Y., . . . Witzel, O. (2021). Stealth dark matter confinement transition and gravitational waves. PHYSICAL REVIEW D, 103(1). doi:10.1103/PhysRevD.103.014505

DOI: 10.1103/PhysRevD.103.014505

Thermal phase structure of a supersymmetric matrix model (Conference Paper)

Schaich, D., Jha, R. G., & Joseph, A. (2020). Thermal phase structure of a supersymmetric matrix model. In PoS LATTICE Vol. 2019 (pp. 069). Retrieved from http://dx.doi.org/10.22323/1.363.0069

DOI: 10.22323/1.363.0069

Stealth dark matter and gravitational waves (Conference Paper)

Schaich, D. (n.d.). Stealth dark matter and gravitational waves. In PoS LATTICE Vol. 2019 (pp. 068). doi:10.22323/1.363.0068

DOI: 10.22323/1.363.0068

2019

Lattice gauge theory for physics beyond the Standard Model (Journal article)

Brower, R. C., Hasenfratz, A., Neil, E. T., Catterall, S., Fleming, G., Giedt, J., . . . Witzel, O. (2019). Lattice gauge theory for physics beyond the Standard Model. EUROPEAN PHYSICAL JOURNAL A, 55(11). doi:10.1140/epja/i2019-12901-5

DOI: 10.1140/epja/i2019-12901-5

2018

SO(4) invariant Higgs-Yukawa model with reduced staggered fermions (Journal article)

Butt, N., Catterall, S., & Schaich, D. (2018). SO(4) invariant Higgs-Yukawa model with reduced staggered fermions. PHYSICAL REVIEW D, 98(11). doi:10.1103/PhysRevD.98.114514

DOI: 10.1103/PhysRevD.98.114514

Linear sigma EFT for nearly conformal gauge theories (Journal article)

Appelquist, T., Brower, R. C., Fleming, G. T., Gasbarro, A., Hasenfratz, A., Ingoldby, J., . . . Witzel, O. (2018). Linear sigma EFT for nearly conformal gauge theories. PHYSICAL REVIEW D, 98(11). doi:10.1103/PhysRevD.98.114510

DOI: 10.1103/PhysRevD.98.114510

Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors (Journal article)

Appelquist, T., Brower, R. C., Fleming, G. T., Gasbarro, A., Hasenfratz, A., Jin, X. Y., . . . Witzel, O. (2019). Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors. PHYSICAL REVIEW D, 99(1). doi:10.1103/PhysRevD.99.014509

DOI: 10.1103/PhysRevD.99.014509

Testing holography using lattice super-Yang-Mills theory on a 2-torus (Journal article)

Catterall, S., Jha, R. G., Schaich, D., & Wiseman, T. (2018). Testing holography using lattice super-Yang-Mills theory on a 2-torus. Physical Review D, 97. doi:10.1103/PhysRevD.97.086020

DOI: 10.1103/PhysRevD.97.086020

Nonperturbative β function of twelve-flavor SU(3) gauge theory (Journal article)

Hasenfratz, A., & Schaich, D. (2018). Nonperturbative β function of twelve-flavor SU(3) gauge theory. Journal of High Energy Physics, 2018. doi:10.1007/jhep02(2018)132

DOI: 10.1007/jhep02(2018)132

2017

Solution of the sign problem in the Potts model at fixed fermion number (Journal article)

Alexandru, A., Bergner, G., Schaich, D., & Wenger, U. (2018). Solution of the sign problem in the Potts model at fixed fermion number. PHYSICAL REVIEW D, 97(11). doi:10.1103/PhysRevD.97.114503

DOI: 10.1103/PhysRevD.97.114503

2016

Novel phases in strongly coupled four-fermion theories (Journal article)

Catterall, S., & Schaich, D. (2017). Novel phases in strongly coupled four-fermion theories. PHYSICAL REVIEW D, 96(3). doi:10.1103/PhysRevD.96.034506

DOI: 10.1103/PhysRevD.96.034506

Strongly interacting dynamics and the search for new physics at the LHC (Journal article)

Appelquist, T., Brower, R. C., Fleming, G. T., Hasenfratz, A., Jin, X. Y., Kiskis, J., . . . Witzel, O. (2016). Strongly interacting dynamics and the search for new physics at the LHC. PHYSICAL REVIEW D, 93(11). doi:10.1103/PhysRevD.93.114514

DOI: 10.1103/PhysRevD.93.114514

2015

Detecting Stealth Dark Matter Directly through Electromagnetic Polarizability (Journal article)

Appelquist, T., Berkowitz, E., Brower, R. C., Buchoff, M. I., Fleming, G. T., Jin, X. -Y., . . . LSD, L. S. D. (2015). Detecting Stealth Dark Matter Directly through Electromagnetic Polarizability. Physical Review Letters, 115(17). doi:10.1103/PhysRevLett.115.171803

DOI: 10.1103/PhysRevLett.115.171803

Lifting flat directions in lattice supersymmetry (Journal article)

Catterall, S., & Schaich, D. (2015). Lifting flat directions in lattice supersymmetry. Journal of High Energy Physics, 2015. doi:10.1007/JHEP07(2015)057

DOI: 10.1007/JHEP07(2015)057

Stealth dark matter: Dark scalar baryons through the Higgs portal (Journal article)

Appelquist, T., Brower, R. C., Buchoff, M. I., Fleming, G. T., Jin, X. -Y., Kiskis, J., . . . Witzel, O. (2015). Stealth dark matter: Dark scalar baryons through the Higgs portal. PHYSICAL REVIEW D, 92(7). doi:10.1103/PhysRevD.92.075030

DOI: 10.1103/PhysRevD.92.075030

2014

Parallel software for lattice N=4 supersymmetric Yang-Mills theory (Journal article)

Schaich, D., & De Grand, T. (2015). Parallel software for lattice N=4 supersymmetric Yang-Mills theory. COMPUTER PHYSICS COMMUNICATIONS, 190, 200-212. doi:10.1016/j.cpc.2014.12.025

DOI: 10.1016/j.cpc.2014.12.025

Nonperturbative β function of eight-flavor SU(3) gauge theory (Journal article)

Hasenfratz, A., Schaich, D., & Veernala, A. (2015). Nonperturbative β function of eight-flavor SU(3) gauge theory. JOURNAL OF HIGH ENERGY PHYSICS, (6). doi:10.1007/JHEP06(2015)143

DOI: 10.1007/JHEP06(2015)143

Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory (Journal article)

Appelquist, T., Brower, R. C., Fleming, G. T., Kiskis, J., Lin, M. F., Neil, E. T., . . . Witzel, O. (2014). Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory. PHYSICAL REVIEW D, 90(11). doi:10.1103/PhysRevD.90.114502

DOI: 10.1103/PhysRevD.90.114502

N=4 supersymmetry on a space-time lattice (Journal article)

Catterall, S., Schaich, D., Damgaard, P. H., DeGrand, T., & Giedt, J. (2014). N=4 supersymmetry on a space-time lattice. PHYSICAL REVIEW D, 90(6). doi:10.1103/PhysRevD.90.065013

DOI: 10.1103/PhysRevD.90.065013

Improving the continuum limit of gradient flow step scaling (Journal article)

Cheng, A., Hasenfratz, A., Liu, Y., Petropoulos, G., & Schaich, D. (2014). Improving the continuum limit of gradient flow step scaling. JOURNAL OF HIGH ENERGY PHYSICS, (5). doi:10.1007/JHEP05(2014)137

DOI: 10.1007/JHEP05(2014)137

Two-Color Gauge Theory with Novel Infrared Behavior (Journal article)

Appelquist, T., Brower, R. C., Buchoff, M. I., Cheng, M., Fleming, G. T., Kiskis, J., . . . Witzel, O. (2014). Two-Color Gauge Theory with Novel Infrared Behavior. PHYSICAL REVIEW LETTERS, 112(11). doi:10.1103/PhysRevLett.112.111601

DOI: 10.1103/PhysRevLett.112.111601

Maximum-likelihood approach to topological charge fluctuations in lattice gauge theory (Journal article)

Brower, R. C., Cheng, M., Fleming, G. T., Lin, M. F., Neil, E. T., Osborn, J. C., . . . Witzel, O. (2014). Maximum-likelihood approach to topological charge fluctuations in lattice gauge theory. PHYSICAL REVIEW D, 90(1). doi:10.1103/PhysRevD.90.014503

DOI: 10.1103/PhysRevD.90.014503

Composite bosonic baryon dark matter on the lattice: SU(4) baryon spectrum and the effective Higgs interaction (Journal article)

Appelquist, T., Berkowitz, E., Brower, R. C., Buchoff, M. I., Fleming, G. T., Kiskis, J., . . . Kribs, G. D. (2014). Composite bosonic baryon dark matter on the lattice: SU(4) baryon spectrum and the effective Higgs interaction. PHYSICAL REVIEW D, 89(9). doi:10.1103/PhysRevD.89.094508

DOI: 10.1103/PhysRevD.89.094508

2013

Finite size scaling of conformal theories in the presence of a near-marginal operator (Journal article)

Cheng, A., Hasenfratz, A., Liu, Y., Petropoulos, G., & Schaich, D. (2014). Finite size scaling of conformal theories in the presence of a near-marginal operator. PHYSICAL REVIEW D, 90(1). doi:10.1103/PhysRevD.90.014509

DOI: 10.1103/PhysRevD.90.014509

Lattice Gauge Theories at the Energy Frontier (Internet publication)

Appelquist, T., Brower, R., Catterall, S., Fleming, G., Giedt, J., Hasenfratz, A., . . . Schaich, D. (2013). Lattice Gauge Theories at the Energy Frontier. Retrieved from http://arxiv.org/abs/1309.1206v1

Lattice calculation of composite dark matter form factors (Journal article)

Appelquist, T., Brower, R. C., Buchoff, M. I., Cheng, M., Cohen, S. D., Fleming, G. T., . . . Wasem, J. (2013). Lattice calculation of composite dark matter form factors. PHYSICAL REVIEW D, 88(1). doi:10.1103/PhysRevD.88.014502

DOI: 10.1103/PhysRevD.88.014502

Scale-dependent mass anomalous dimension from Dirac eigenmodes (Journal article)

Cheng, A., Hasenfratz, A., Petropoulos, G., & Schaich, D. (2013). Scale-dependent mass anomalous dimension from Dirac eigenmodes. JOURNAL OF HIGH ENERGY PHYSICS, (7). doi:10.1007/JHEP07(2013)061

DOI: 10.1007/JHEP07(2013)061

2012

MCRG study of 8 and 12 fundamental flavors (Conference Paper)

Petropoulos, G., Cheng, A., Hasenfratz, A., & Schaich, D. (2012). MCRG study of 8 and 12 fundamental flavors with mixed fundamental-adjoint gauge action in strong coupling. In Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012). Sissa Medialab. doi:10.22323/1.164.0051

DOI: 10.22323/1.164.0051

Approaching Conformality with Ten Flavors (Internet publication)

Appelquist, T., Brower, R. C., Buchoff, M. I., Cheng, M., Cohen, S. D., Fleming, G. T., . . . Vranas, P. (2012). Approaching Conformality with Ten Flavors. Retrieved from http://arxiv.org/abs/1204.6000v3

WW scattering parameters via pseudoscalar phase shifts (Journal article)

Appelquist, T., Babich, R., Brower, R. C., Buchoff, M. I., Cheng, M., Clark, M. A., . . . Wasem, J. (2012). WW scattering parameters via pseudoscalar phase shifts. PHYSICAL REVIEW D, 85(7). doi:10.1103/PhysRevD.85.074505

DOI: 10.1103/PhysRevD.85.074505

2011

Novel phase in SU(3) lattice gauge theory with 12 light fermions (Journal article)

Cheng, A., Hasenfratz, A., & Schaich, D. (2012). Novel phase in SU(3) lattice gauge theory with 12 light fermions. PHYSICAL REVIEW D, 85(9). doi:10.1103/PhysRevD.85.094509

DOI: 10.1103/PhysRevD.85.094509

Lattice simulations and infrared conformality (Journal article)

Appelquist, T., Fleming, G. T., Lin, M. F., Neil, E. T., & Schaich, D. A. (2011). Lattice simulations and infrared conformality. PHYSICAL REVIEW D, 84(5). doi:10.1103/PhysRevD.84.054501

DOI: 10.1103/PhysRevD.84.054501

Parity Doubling and the S Parameter below the Conformal Window (Journal article)

Appelquist, T., Babich, R., Brower, R. C., Cheng, M., Clark, M. A., Cohen, S. D., . . . Vranas, P. M. (2011). Parity Doubling and the S Parameter below the Conformal Window. PHYSICAL REVIEW LETTERS, 106(23). doi:10.1103/PhysRevLett.106.231601

DOI: 10.1103/PhysRevLett.106.231601

Strong dynamics and lattice gauge theory (Thesis / Dissertation)

Schaich, D. (2011). Strong dynamics and lattice gauge theory. Retrieved from http://inspirehep.net/record/1386337/files/dissertation.pdf

Hybrid Monte Carlo Simulation of Graphene on the Hexagonal Lattice (Internet publication)

Brower, R. C., Rebbi, C., & Schaich, D. (2011). Hybrid Monte Carlo Simulation of Graphene on the Hexagonal Lattice. Retrieved from http://arxiv.org/abs/1101.5131

2010

Exploring strange nucleon form factors on the lattice (Journal article)

Babich, R., Brower, R. C., Clark, M. A., Fleming, G. T., Osborn, J. C., Rebbi, C., & Schaich, D. (2012). Exploring strange nucleon form factors on the lattice. PHYSICAL REVIEW D, 85(5). doi:10.1103/PhysRevD.85.054510

DOI: 10.1103/PhysRevD.85.054510

Toward TeV Conformality (Journal article)

Appelquist, T., Avakian, A., Babich, R., Brower, R. C., Cheng, M., Clark, M. A., . . . Vranas, P. (2010). Toward TeV Conformality. PHYSICAL REVIEW LETTERS, 104(7). doi:10.1103/PhysRevLett.104.071601

DOI: 10.1103/PhysRevLett.104.071601

2009

Improved lattice measurement of the critical coupling in φ24 theory (Journal article)

Schaich, D., & Loinaz, W. (2009). Improved lattice measurement of the critical coupling in φ24 theory. PHYSICAL REVIEW D, 79(5). doi:10.1103/PhysRevD.79.056008

DOI: 10.1103/PhysRevD.79.056008