Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relation between the Resonance and the Scattering Matrix in the massless
  Spin-Boson Model   We establish the precise relation between the integral kernel of the
scattering matrix and the resonance in the massless Spin-Boson model which
describes the interaction of a two-level quantum system with a second-quantized
scalar field. For this purpose, we derive an explicit formula for the two-body
scattering matrix. We impose an ultraviolet cut-off and assume a slightly less
singular behavior of the boson form factor of the relativistic scalar field but
no infrared cut-off. The purpose of this work is to bring together scattering
and resonance theory and arrive at a similar result as provided by Simon in
[38], where it was shown that the singularities of the meromorphic continuation
of the integral kernel of the scattering matrix are located precisely at the
resonance energies. The corresponding problem has been open in quantum field
theory ever since. To the best of our knowledge, the presented formula provides
the first rigorous connection between resonance and scattering theory in the
sense of [38] in a model of quantum field theory.

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The categories of this paper are: cond-mat
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The categories of this paper are: stat
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys