Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation Theory at Finite Extent of Fifth Dimension for Vacuum
  Overlap Formula of Chiral Determinant -- Continuum Limit Case --   Taking into account of the boundary condition in the fifth direction which is
derived from the lattice Wilson fermion, we develop a theory of
five-dimensional fermion with kink-like and homogeneous masses in finite extent
of the fifth dimension. The boundary state wave functions are constructed
explicitly and the would-be vacuum overlap is expanded by using the propagator
of the theory. The subtraction is performed unambiguously at the finite extent
with the help of the dimensional regularization. Then the limit of the infinite
extent is evaluated. The consistent anomaly in four dimensional theory is
finitely obtained. Each contribution to the vacuum polarization is vector-like.
It is the lack of the massless mode in the fermion with negative homogeneous
mass that leads to the correct chiral normalization. Gauge noninvariant piece
remains due to the breaking of the boundary condition by the dimensional
regularization.

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The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an