Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The virial theorem for action-governed theories   We describe a simple derivation of virial relations (VR) for arbitrary
action-governed systems. These follow directly from the action with no need to
go via the equations of motion. When some of the degrees of freedom are of the
same type a tensor virial theorem presents itself. Further generalizations are
discussed.
  Symmetries of the action may lead to identities involving the VR.
  Beside pointing to a unified provenance of the VR, and affording general
systematics of them, our method is a simple prescription for deriving such
relations. It is particularly useful for treating high-derivative and non-local
theories. We demonstarte the procedure with several examples.

33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
2
The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
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The categories of this paper are: solv-int