Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restoration of Rotational Symmetry in the Continuum Limit of Lattice
  Field Theories   We explore how rotational invariance is systematically recovered from
calculations on hyper-cubic lattices through the use of smeared lattice
operators that smoothly evolve into continuum operators with definite angular
momentum as the lattice-spacing is reduced. Perturbative calculations of the
angular momentum violation associated with such operators at tree-level and at
one-loop are presented in phi^4 theory and QCD. Contributions from these
operators that violate rotational invariance occur at tree-level, with
coefficients that are suppressed by O(a^2) in the continuum limit. Quantum
loops do not modify this behavior in phi^4, nor in QCD if the gauge-fields are
smeared over a comparable spatial region. Consequently, the use of this type of
operator should, in principle, allow for Lattice QCD calculations of the higher
moments of the hadron structure functions.

35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an