Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Renormalization Group and Weyl-invariance   We consider matter fields conformally coupled to a background metric and
dilaton and describe in detail a quantization procedure and related
renormalization group flow that preserve Weyl invariance. Even though the
resulting effective action is Weyl-invariant, the trace anomaly is still
present, with all its physical consequences. We discuss first the case of free
matter and then extend the result to interacting matter. We also consider the
case when the metric and dilaton are dynamical and gravitons enter in the
loops.

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The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph