Theoretical and Computational Aspects of New Lattice Fermion Formulations
Theoretical and Computational Aspects
of New Lattice Fermion Formulations
Ph.D. Defense
Christian Zielinski
Division of Mathematical Sciences
Nanyang Technological University
Singapore
12
th
January 2017
Supervisor: Assoc. Prof. Wang Li-Lian
Additional supervision by Dr. David H. Adams and PD Dr. Christian Hoelbling
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Theoretical and Computational Aspects of New Lattice Fermion Formulations
Resulting publications
C. Hoelbling and C. Zielinski, “Staggered domain wall fermions,” PoS
LATTICE2016 (2016) 254, arXiv:1609.05114 [hep-lat].
C. Hoelbling and C. Zielinski, “Spectral properties and chiral symmetry violations of
(staggered) domain wall fermions in the Schwinger model,” Phys. Rev. D94 no. 1,
(2016) 014501, arXiv:1602.08432 [hep-lat].
D. H. Adams, D. Nogradi, A. Petrashyk, and C. Zielinski, “Computational efficiency
of staggered Wilson fermions: A first look,” PoS LATTICE2013 (2014) 353,
arXiv:1312.3265 [hep-lat].
D. H. Adams, R. Har, Y. Jia, and C. Zielinski, “Continuum limit of the axial anomaly
and index for the staggered overlap Dirac operator: An overview,” PoS
LATTICE2013 (2014) 462, arXiv:1312.7230 [hep-lat].
Remark: In lattice field theory authors are traditionally ordered by name
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Theoretical and Computational Aspects of New Lattice Fermion Formulations
Resulting presentations
1 2016, Workshop of the Collaborative Research Center Transregio SFB/TR-55,
University of Wuppertal, Wuppertal, Germany
2 2016, Spring Meeting of the German Physical Society,
University of Hamburg, Hamburg, Germany
3 2015, Invited Talk at the Theoretical Particle Physics Seminar,
University of Wuppertal, Wuppertal, Germany
4 2015, 33
rd
International Symposium on Lattice Field Theory,
Kobe International Conference Center, Kobe, Japan
5 2015, Conference on 60 Years of Yang-Mills Gauge Field Theories,
Institute of Advanced Studies, Nanyang Technological University, Singapore
6 2015, 9
th
International Conference on Computational Physics,
National University of Singapore, Singapore
7 2014, 5
th
Singapore Mathematics Symposium,
National University of Singapore, Singapore
8 2014, 32
nd
International Symposium on Lattice Field Theory,
Columbia University, New York City, United States
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Theoretical and Computational Aspects of New Lattice Fermion Formulations
Today’s talk with selected results
1 Introduction
Background
2 Fermion discretizations
Traditional formulations
Staggered Wilson fermions
3 Computational efficiency
Methodology
Numerical results
4 Hadron spectroscopy
Pseudoscalar mesons
Numerical results
5 Staggered domain wall fermions
Theory
Numerical results
6 Conclusions
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Theoretical and Computational Aspects of New Lattice Fermion Formulations
Introduction
Outline
1 Introduction
Background
2 Fermion discretizations
Traditional formulations
Staggered Wilson fermions
3 Computational efficiency
Methodology
Numerical results
4 Hadron spectroscopy
Pseudoscalar mesons
Numerical results
5 Staggered domain wall fermions
Theory
Numerical results
6 Conclusions
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Theoretical and Computational Aspects of New Lattice Fermion Formulations
Introduction
Background
Fundamental forces of nature
•
How do we describe the four fundamental forces in modern physics?
•
Gauge theories as fundamental building blocks
•
Observables invariant under transformations of some fundamental fields
•
All known fundamental forces of nature are gauge theories
•
From the four fundamental forces, the setting of this thesis is given by
•
Quantum chromodynamics (QCD)
•
Fundamental theory of the strong interaction
•
Binds quarks to form nuclear particles, such as the proton and neutron
•
Quantum electrodynamics (QED)
•
Fundamental relativistic theory of electrodynamics
•
Describes the interaction of light and matter
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