Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relative Entropy and Proximity of Quantum Field Theories   We study the question of how reliably one can distinguish two quantum field
theories (QFTs). Each QFT defines a probability distribution on the space of
fields. The relative entropy provides a notion of proximity between these
distributions and quantifies the number of measurements required to distinguish
between them. In the case of nearby conformal field theories, this reduces to
the Zamolodchikov metric on the space of couplings. Our formulation quantifies
the information lost under renormalization group flow from the UV to the IR and
leads us to a quantification of fine-tuning. This formalism also leads us to a
criterion for distinguishability of low energy effective field theories
generated by the string theory landscape.

11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg