Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Path (Integral) to Scale Invariance   We propose a path integral formulation for scale invariant quantum field
theories. We do it by modifying the functional integration measure in such a
way that the partition function is always exactly scale invariant, at the cost
of having an extra determinant under the integral. In perturbation theory, this
extra determinant reproduces the bottom-up procedure of scale invariant
regularization, providing an order-by-order cancellation of the scale anomaly
together with new non-renormalizable vertices. Our formulation here, however,
goes beyond perturbation theory and it is also suitable to study
non-perturbative effects. It allows to formulate a scale invariant quantum
theory out of any classically invariant action.

30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph