A Vector Spaces Associated with Quark Modes in k-Space

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Each mode of the quark field is defined by a wave vector k, which corresponds to a point in k-space, forming a manifold of different modes. Each point in this k-space can be associated with a three-dimensional vector space that represents the quark's color charge. The discussion seeks insights or experiences from others working with this model. The connection between quark modes and their representation in k-space is emphasized. This exploration could enhance understanding of quark dynamics in theoretical physics.
Hamracek21
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Is there an article that talks about colored vector spaces that are associated with points in k-space?
My idea is as follows. Each mode of the quark field is characterized by a wave vector k. Each wave vector corresponds to a point in k-space. This set of points representing different modes forms a manifold. Each point in k-space can be assigned a three-dimensional vector space that represents the quark's color charge. Does anyone work with this model?
 

Thread 'Antilinear Operators'

An antilinear operator ##\hat{A}## can be considered as, ##\hat{A}=\hat{L}\hat{K}##, where ##\hat{L}## is a linear operator and ##\hat{K} c=c^*## (##c## is a complex number). In the Eq. (26) of the text https://bohr.physics.berkeley.edu/classes/221/notes/timerev.pdf the equality ##(\langle \phi |\hat{A})|\psi \rangle=[ \langle \phi|(\hat{A}|\psi \rangle)]^*## is given but I think this equation is not correct within a minus sign. For example, in the Hilbert space of spin up and down, having...
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