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What is chiral symmetry?

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Chiral symmetry is a fundamental concept in quantum physics that is relevant to both condensed matter and particle physics. It refers to a symmetry between left-handed and right-handed particles, where the behavior of a system remains unchanged when left-handed particles are transformed into right-handed particles and vice versa. The overlap-Dirac operator is a method used to realize chiral fermions without explicitly calculating the low modes of the Wilson-Dirac operator . It involves introducing a projection operator and formulating the exact sign function and overlap-Dirac operator with a contour-integral form. This method is parallelizable and suitable for multi-core/multi-GPGPU systems . The quality of chiral symmetry achieved with this method is sufficient for double precision calculations .

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DOI Chiral symmetry: An analytic $SU(3) $ unitary matrix Manoel R. Robilotta 27 Jun 2022	Chiral symmetry is not explicitly defined in the provided paper.
Open access•Posted Content•DOI Extensively parallelizable chiral fermion 04 Apr 2022	Chiral symmetry is a key concept in quantum physics that is used to investigate various fields, including condensed matter and particle physics.
Higher Structure of Chiral Symmetry Christian Copetti, Michele Del Zotto, Kantaro Ohmori, Yifan Wang - Show less +3 more 29 May 2023 4 Citations	Chiral symmetry is a non-invertible symmetry preserved by massless QED, and its associativity structure is explored in the paper.
Extensively parallelizable chiral fermion Yuki Nagai, Akio Tomiya - Show less +1 more 04 Apr 2022	Chiral symmetry is a key concept in quantum physics that is used to investigate various phenomena, from condensed matter to particle physics.

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