Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalizability and the Scalar Field   The infinite dimensional generalization of the quantum mechanics of extended
objects, namely, the quantum field theory of extended objects is presented. The
paradigm example studied in this paper is the Euclidean scalar field with a
$\lambda (\phi^{6})/6!$ interaction in four spacetime dimensions. The theory is
found to be finite when the virtual particle intermediate states are
characterized by fuzzy particles instead of ordinary pointlike particles.
Causality, Lorentz invariance, and unitarity (verified up to fourth order in
the coupling constant) are preserved in the theory. In addition, the
Kallen-Lehmann spectral representation for the propagator is discussed.

3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg