Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Momentum Scale Expansion of Sharp Cutoff Flow Equations   We show how the exact renormalization group for the effective action with a
sharp momentum cutoff, may be organised by expanding one-particle irreducible
parts in terms of homogeneous functions of momenta of integer degree (Taylor
expansions not being possible). A systematic series of approximations -- the
$O(p^M)$ approximations -- result from discarding from these parts, all terms
of higher than the $M^{\rm th}$ degree. These approximations preserve a field
reparametrization invariance, ensuring that the field's anomalous dimension is
unambiguously determined. The lowest order approximation coincides with the
local potential approximation to the Wegner-Houghton equations. We discuss the
practical difficulties with extending the approximation beyond $O(p^0)$.

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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph