Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization and causality violations in classical gravity coupled
  with quantum matter   I prove that classical gravity coupled with quantized matter can be
renormalized with a finite number of independent couplings, plus field
redefinitions, without introducing higher-derivative kinetic terms in the
gravitational sector, but adding vertices that couple the matter stress-tensor
with the Ricci tensor. The theory is called "acausal gravity", because it
predicts the violation of causality at high energies. Renormalizability is
proved by means of a map M that relates acausal gravity with higher-derivative
gravity. The causality violations are governed by two parameters, a and b, that
are mapped by M into higher-derivative couplings. At the tree level causal
prescriptions exist, but they are spoiled by the one-loop corrections. Some
ideas are inspired by the usual treatments of the Abraham-Lorentz force in
classical electrodynamics.

30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph