Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Auto-correlation Functions and Quantum Fluctuations of the Transverse
  Ising Chain by the Quantum Transfer Matrix Method   The Quantum Transfer Matrix method based on the Suzuki-Trotter formulation is
extended to dynamical problems. The auto-correlation functions of the
Transverse Ising chain are derived by this method. It is shown that the
Trotter-directional correlation function is interpreted as a Matsubara's
temperature Green function and that the auto-correlation function is given by
analytic continuation of the Green function. We propose the Trotter-directional
correlation function is a new measure of the quantum fluctuation and show how
it works well as a demonstration.

31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg