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Pet Scan
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...the axial Chiral current formulas use the symbol J^5...i.e.,( "J" with a post script 5. ) What is the reason for the "5" ..??
The Chiral (axial) anomaly is a quantum phenomenon that arises in certain gauge theories, such as quantum electrodynamics (QED) and quantum chromodynamics (QCD). It describes the violation of a symmetry called the chiral symmetry, which is related to the different handedness of particles (left-handed and right-handed).
The Chiral (axial) anomaly is observed as a difference between the number of left-handed and right-handed particles produced in certain processes, such as the decay of a neutral pion into two photons. This difference is a direct consequence of the violation of chiral symmetry.
The Chiral (axial) anomaly plays a crucial role in our understanding of the Standard Model of particle physics. It is responsible for the mass generation of certain particles, such as the W and Z bosons, and has important implications for the study of the strong nuclear force.
The Chiral (axial) anomaly is intimately connected to the topology of space-time. In particular, it is related to the presence of non-trivial topological structures, such as instantons, that can induce chiral symmetry breaking and therefore the anomaly.
Current research on the Chiral (axial) anomaly includes studying its effects in high-energy collisions, such as those at the Large Hadron Collider, and its role in condensed matter systems. There is also ongoing research on the connection between the Chiral (axial) anomaly and other areas of physics, such as gravity and cosmology.