Chiral Fermions and Fermion Doubling on the Lattice
Explore the intriguing concepts of chiral fermions, fermion doubling, and strong coupling effects in lattice gauge theories. Delve into non-perturbative definitions of the Standard Model and the challenges of solving them. Discover innovative ideas like domain walls and symmetric mass generation theories.
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Chiral Fermions on the Lattice Kaan Onder
Fermion Doubling and a possible deformation on the lattice RH Weyl Fermion in d=1+1 in the continuum This embodies the Nielsen-Ninomiya theorem Closely related to anomalies
Why is this interesting? Non-perturbative definition of the Standard Model Understanding strong coupling behaviour of chiral theories (i.e s-confinement) How can we solve it? Variety of ideas: - Domain walls, Ginsparg-Wilson, Staggered Fermions, I m exploring strong coupling effects: Symmetric Mass Generation pioneered by Eichten-Preskill. Can we gap the doublers without breaking chiral symmetry?
Thank you! References E.Eichten and J, Preskill, Chiral Gauge Theories on the Lattice . Nucl. Phys B268 (1986) D. Tong, Gauge Theory , www.damtp.cam.ac.uk/user/tong/gaugetheory.html E. Poppitz and Y. Shang, Chiral Lattice Gauge Theorie via Mirror-Fermion Decoupling: A Mission (Im)possible? , [arXiv:1003.5896]
