Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling analysis of the O(4)-symmetric $\Phi^4$-theory in the broken
  phase   We study the $O(4)$-symmetric $ \Phi^4 $-theory in the scaling region of the
broken phase using the standard and a Symanzik improved action with infinite
bare self-coupling $\lambda$. A high precision Monte Carlo simulation is
performed by applying the reflection cluster algorithm. Employing the histogram
method we analytically continue to a sequence of values of the hopping
parameter $\kappa$ neighbouring the actually simulated ones. In the
investigated vicinity of the critical point $\kappa_{c}$ finite volume effects
affecting, e.g., the determination of the field expectation value $\Sigma$ and
the mass $m_\sigma$ of the $\sigma$-particle are very well described by 1-loop
renormalized perturbation theory. We carry out a detailed scaling analysis on a
high level of precision. Finally we discuss the upper bound on the Higgs mass
for both kinds of actions.

15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th