Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization of Velocity-Changing Dimension-Five Operators in the
  Heavy-Quark Effective Theory   We study the renormalization of operators of the type ${\bar h_{v'}} \Gamma
G^{\mu\nu} h_v$ in the heavy-quark effective theory (HQET). We construct the
combinations of such operators that are renormalized multiplicatively, and
calculate their velocity-dependent anomalous dimensions at the one-loop order.
We then show that the virial theorem of the HQET is not renormalized, and that
in the limit of equal velocities the anomalous dimension of the chromo-electric
operator vanishes to all orders in perturbation theory. This implies an exact
relation between renormalization constants, which may help in a future
calculation of the two-loop anomalous dimension of the chromo-magnetic
operator.

29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph