Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Radiative corrections to the quark masses in the ferromagnetic Ising and
  Potts field theories   We consider the Ising Field Theory (IFT), and the 3-state Potts Field Theory
(PFT), which describe the scaling limits of the two- dimensional lattice
q-state Potts model with q=2, and q=3, respectively. At zero magnetic field
h=0, both field theories are integrable away from the critical point, have q
degenerate vacua in the ferromagnetic phase, and q(q-1) particles of the same
mass - the kinks interpolating between two different vacua. Application of a
weak magnetic field induces confinement of kinks into bound states - the mesons
(for q =2,3) consisting predominantly of two kinks, and baryons (for q=3),
which are essentially the three-kink excitations. The kinks in the confinement
regime are also called the quarks. We review and refine the Form Factor
Perturbation Theory (FFPT), adapting it to the analysis of the confinement
problem in the limit of small h, and apply it to calculate the corrections to
the kink (quark) masses induced by the multi-kink fluctuations caused by the
weak magnetic field. It is shown that the subleading third-order correction to
the kink mass vanishes in the IFT. The leading second order correction to the
kink mass in the 3-state PFT is estimated by truncation the infinite form
factor expansion at the first term representing contribution of the two-kink
fluctuations into the kink self energy.

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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
1
The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph