Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adiabatic Hadamard States for Dirac Quantum Fields on Curved Space   In this paper we propose a definition of quasifree Hadamard states for spinor
fields on a curved space-time by specifying the Polarisation Set of the
two-point function. We prove that the thermal equilibrium state on an
ultrastatic space-time is Hadamard. We then construct an adiabatic vacuum state
on a general globally hyperbolic Lorentz manifold using a factorisation of the
spinorial Klein-Gordon operator. This state is pure. In what constitutes the
main part of the paper, we show that it is also Hadamard. As a side result, we
obtain the propagation of singularities of the spinorial Klein-Gordon operator.
Some notation and results are collected in the Appendix.

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The categories of this paper are: eess
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat