Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuity of Scalar Fields With Logarithmic Correlations   We apply select ideas from the modern theory of stochastic processes in order
to study the continuity/roughness of scalar quantum fields. A scalar field with
logarithmic correlations (such as a massless field in 1+1 spacetime dimensions)
has the mildest of singularities, making it a logical starting point. Instead
of the usual inner product of the field with a smooth function, we introduce a
moving average on an interval which allows us to obtain explicit results and
has a simple physical interpretation. Using the mathematical work of Dudley, we
prove that the averaged random process is in fact continuous, and give a
precise modulus of continuity bounding the short-distance variation.

5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg