In physics, C-symmetry means the symmetry of physical laws under a charge-conjugation transformation. Physics (Greek Physis - φύσις in everyday terms is the Science of Matter and its motion. In Physics, a charge may refer to one of many different quantities such as the Electric charge in Electromagnetism or the Color charge in In Mathematics a transform is an Operator applied to a function so that under the transform certain operations are simplified Electromagnetism, gravity and the strong interaction all obey C-symmetry, but weak interactions violate C-symmetry maximally.
The laws of electromagnetism (both classical and quantum) are invariant under this transformation: if each charge q were to be replaced with a charge -q and the directions of the electric and magnetic fields were reversed, the dynamics would preserve the same form. Electromagnetism is the Physics of the Electromagnetic field: a field which exerts a Force on particles that possess the property of Invariance is a French journal edited by Jacques Camatte, published since 1968. In Physics, the space surrounding an Electric charge or in the presence of a time-varying Magnetic field has a property called an electric field (that can In Physics, a magnetic field is a Vector field that permeates space and which can exert a magnetic force on moving Electric charges In the language of quantum field theory, charge conjugation transforms:
Notice that these transformations do not alter the chirality of particles. In quantum field theory (QFT the forces between particles are mediated by other particles A phenomenon is said to be chiral if it is not identical to its Mirror image (see Chirality) A left-handed neutrino would be taken by charge conjugation into a left-handed antineutrino, which does not interact in the Standard Model. Neutrinos are Elementary particles that travel close to the Speed of light, lack an Electric charge, are able to pass through ordinary matter almost In Physics, antineutrinos, the Antiparticles of Neutrinos are neutral particles produced in nuclear Beta decay. This property is what is meant by the "maximal violation" of C-symmetry in the weak interaction.
(Some postulated extensions of the Standard Model, like left-right models, restore this C-symmetry. The Standard Model of Particle physics is a theory that describes three of the four known Fundamental interactions together with the Elementary particles Left-right symmetry is a general principle in Physics which holds that valid physical laws must not produce a different result for a motion that is left-handed than motion that )
It was believed for some time that C-symmetry could be combined with the parity-inversion transformation (see P-symmetry) to preserve a combined CP-symmetry. In Physics, a parity transformation (also called parity inversion) is the flip in the sign of one Spatial Coordinate. In Particle physics, CP violation is a violation of the postulated CP symmetry of the laws of physics However, violations of even this symmetry have now been identified in the weak interactions (particularly in the kaons and B mesons). In Particle physics, a kaon (/ˈkeɪɒn/ also called K-meson and denoted) is any one of a group of four Mesons distinguished by the fact that they In Particle physics, a meson is a strongly interacting Boson &mdashthat is a Hadron with integer spin. In the Standard Model, this CP violation is due to a single phase in the CKM matrix. In Particle physics, CP violation is a violation of the postulated CP symmetry of the laws of physics In the Standard Model of Particle physics, the Cabibbo-Kobayashi-Maskawa matrix ( CKM matrix, quark mixing matrix, sometimes also called If CP is combined with time reversal (T-symmetry), the resulting CPT-symmetry can be shown using only the Wightman axioms to be universally obeyed. T Symmetry is the symmetry of physical laws under a Time reversal transformation &mdash T t \mapsto -t CPT symmetry is a fundamental symmetry of Physical laws under transformations that involve the inversions of charge, parity and In Physics the Wightman axioms are an attempt at a mathematically rigorous formulation of Quantum field theory.
To give an example, take two real scalar fields, φ and χ. Suppose both fields have even C-parity. Now reformulate things so that . Now, φ and χ have even C-parities because the imaginary number i has an odd C-parity (C is antiunitary).
In other models, it is possible for both φ and χ to have odd C-parities.
Sozzi, M. S. (2008). Discrete symmetries and CP violation. Oxford University Press. ISBN 978-0-19-929666-8.