Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Energy-Momentum Tensor in Field Theory II   In a previous paper, field theory in curved space was considered, and a
formula that expresses the first order variation of correlation functions with
respect to the external metric was postulated. The formula is given as an
integral of the energy-momentum tensor over space, where the short distance
singularities of the product of the energy-momentum tensor and an arbitrary
composite field must be subtracted, and finite counterterms must be added.
These finite counterterms have been interpreted geometrically as a connection
for the linear space of composite fields over theory space. In this paper we
will study a second order consistency condition for the variational formula and
determine the torsion of the connection. A non-vanishing torsion results from
the integrability of the variational formula, and it is related to the Bose
symmetry of the product of two energy-momentum tensors. The massive Ising model
on a curved two-dimensional surface is discussed as an example, and the
short-distance singularities of the product of two energy-momentum tensors are
calculated explicitly.

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The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph