Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On regularized trace formula of Gribov semigroup genrated by the
  Hamiltonian of reggeon field theory in Bargmann representation   In J. Math. Anal. App. 305. (2005), we have considered the Gribov operator\\
$H_{\lambda'} = \lambda' S + H_{\mu,\lambda}$ acting on Bargmann space where $
S = a^{*2} a^{2}$ and $ H_{\mu,\lambda} =\mu a^* a + \\i \lambda a^* (a+a^*)a$
with $i^{2} = -1$.\\ Here $a$ and $a^{*}$ are the standard Bose annihilation
and creation operators satisfying the commutation relation $[a, a^{*}] = I$. In
Reggeon field theory, the real parameters $\lambda{'}$ is the four coupling of
Pomeron, $\mu$ is Pomeron intercept, $\lambda$ is the triple coupling of
Pomeron and $i^{2} = -1$.\\ We have given an approximation of the semigroup
$e^{-tH_{\lambda'}}$ generated by the operator $H_{\lambda'}$. In particulary,
we have obtained an estimate approximation in trace norm of this semigroup by
the unperturbed semigroup $e^{-t\lambda'S}$.
  In {\bf[12]}, we have regularized the operator $H_{\mu,\lambda}$ by
$\lambda''G$ where $G = a^{*3} a^{3}$, i.e we have considered $H_{\lambda''} =
\lambda'' G + H_{\mu,\lambda}$ where $\lambda''$ is the {\it magic coupling} of
Pomeron. In this case, we have established an exact relation between the degree
of subordination of the non-self-adjoint perturbation operator
$H_{\mu,\lambda}$ to the unperturbed operator $G$ and the number of corrections
necessary for the existence of finite formula of the regularized trace.
  The goal of this article consists to study the trace of the semigroup
$e^{-tH_{\lambda''}}$, in particular to give an asymptotic expansion of this
trace as $t \rightarrow 0^{+}$.

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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn