Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective Action, Conformal Anomaly and the Issue of Quadratic
  Divergences   For massless $\phi^4$ theory, we explicitly compute the lowest order
non-local contributions to the one-loop effective action required for the
determination of the trace anomaly. Imposing exact conformal invariance of the
local part of the effective action, we argue that the issue of quadratic
divergences does not arise in a theory where exact conformal symmetry is only
broken by quantum effects. Conformal symmetry can thus replace low energy
supersymmetry as a possible guide towards stabilizing the weak scale and
solving the hierarchy problem, if (i) there are no intermediate scales between
the weak scale and the Planck scale, and (ii) the running couplings exhibit
neither Landau poles nor instabilities over this whole range of energies.

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The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
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The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: math
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat