Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization and resolution of singularities   Since the seminal work of Epstein and Glaser it is well established that
perturbative renormalization of ultraviolet divergences in position space
amounts to extension of distributions onto diagonals. For a general Feynman
graph the relevant diagonals form a nontrivial arrangement of linear subspaces.
One may therefore ask if renormalization becomes simpler if one resolves this
arrangement to a normal crossing divisor. In this paper we study the extension
problem of distributions onto the wonderful models of de Concini and Procesi,
which generalize the Fulton-MacPherson compactification of configuration
spaces. We show that a canonical extension onto the smooth model coincides with
the usual Epstein-Glaser renormalization. To this end we use an analytic
regularization for position space. The 't Hooft identities relating the pole
coefficients may be recovered from the stratification, and Zimmermann's forest
formula is encoded in the geometry of the compactification. Consequently one
subtraction along each irreducible component of the divisor suffices to get a
finite result using local counterterms. As a corollary, we identify the Hopf
algebra of at most logarithmic Feynman graphs in position space, and discuss
the case of higher degree of divergence.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
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The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
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The categories of this paper are: hep-ex
1
The categories of this paper are: cs