Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comments on scale and conformal invariance in four dimensions   There has been recent interest in the question of whether four dimensional
scale invariant unitary quantum field theories are actually conformally
invariant. In this note we present a complete analysis of possible scale
anomalies in correlation functions of the trace of the stress-energy tensor in
such theories. We find that 2-, 3- and 4-point functions have a non-trivial
anomaly while connected higher point functions are non-anomalous. We pay
special attention to semi-local contributions to correlators (terms with
support on a set containing both coincident and separated points) and show that
the anomalies in 3- and 4-point functions can be accounted for by such
contributions. We discuss the implications of the our results for the question
of scale versus conformal invariance.

17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat