Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lorentz-covariant kinetic theory for massive spin-1/2 particles   We construct a matrix-valued spin-dependent distribution function (MVSD) for
massive spin-1/2 fermions and study its properties under Lorentz
transformations. Such transformations result in a Wigner rotation in spin space
and in a nontrivial matrix-valued shift in space-time, which corresponds to the
side jump in the massless case. We express the vector and axial-vector
components of the Wigner function in terms of the MVSD and show that they
transform in a Lorentz-covariant manner. We then construct a manifestly
Lorentz-covariant Boltzmann equation which contains a nonlocal collision term
encoding spin-orbit coupling. Finally, we obtain the spin-dependent
distribution function in local equilibrium by demanding detailed balance.

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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: math
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con