Combinatorics of renormalization as matrix calculus - INSPIRE

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Combinatorics of renormalization as matrix calculus

Aug, 2005

10 pages

Published in:

Phys.Lett.B 632 (2006) 552-558

e-Print:

hep-th/0508154 [hep-th]

DOI:

10.1016/j.physletb.2005.11.001

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Abstract:

We give a simple presentation of the combinatorics of renormalization in perturbative quantum field theory in terms of triangular matrices. The prescription, that may be of calculational value, is derived from first principles, to wit, the ``Birkhoff decomposition'' in the Hopf-algebraic description of renormalization by Connes and Kreimer.

02.10.Ox
11.10.Gh
03.70.+k
02.10.Hh
Dimensional regularization
Matrix calculus
Multiplicative renormalization
Hopf algebra of renormalization
Rota-Baxter operators
Birkhoff decomposition

References(11)

Figures(0)

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(
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)

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•
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Kurusch Ebrahimi-Fard
(
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)
,
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(
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)

e-Print:
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)

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•
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•
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Kurusch Ebrahimi-Fard
(
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)
,
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(
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)
,
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(
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)

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(
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