Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Abelian Landau-Ginzburg Theory of Ferromagnetic Superconductivity
  and Photon-Magnon Mixing   We present an effective theory of non-Abelian superconductivity, an
SU(2)xU(1) extension of the Abelian Landau-Ginzburg theory, which could be
viewed as an effective theory of ferromagnetic superconductivity made of
spin-up and spin-down Cooper pairs. Just like the Abelian Landau-Ginzburg
theory it has the U(1) electromagnetic interaction, but the new ingredient is
the SU(2) magnon gauge interaction between the spin doublet Cooper pairs. A
remarkable feature of the theory is the mixing between the photon and the
diagonal part of the SU(2) magnons. After the mixing it has massless magnon and
massive photon, in addition to the massive off-diagonal magnon. So, unlike the
ordinary Landau-Ginzburg theory it has a long range interaction mediated by the
massless magnon, which we interpret as the long range magnetic order and spin
waves observed in ferromagnetic superconductors. The theory is characterized by
three scales. In addition to the correlation length fixed by the mass of the
Higgs field it has two different penetration lengths, the one fixed by the mass
of the massive photon and the other fixed by the mass of the off-diagonal
magnon. And the massive off-diagonal magnon generates the non-Abelian Meissner
effect. The non-Abelian structure of the theory naturally accommodates new
topological objects, the non-Abrikosov magnetic vortex and non-Abelian
monopole. We discuss the physical implications of the non-Abelian
Landau-Ginzburg theory.

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The categories of this paper are: math
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The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga