Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme
Keyword(s):
Various combinatorially non-local field theories are known to be renormalizable. Still, explicit calculations of amplitudes are very rare and restricted to matrix field theory. In this contribution I want to demonstrate how the BPHZ momentum scheme in terms of the Connes-Kreimer Hopf algebra applies to any combinatorially non-local field theory which is renormalizable. This algebraic method improves the understanding of known results in noncommutative field theory in its matrix formulation. Furthermore, I use it to provide new explicit perturbative calculations of amplitudes in tensorial field theories of rank r>2.
1970 ◽
Vol 43
(4)
◽
pp. 1050-1070
◽
1991 ◽
Vol 06
(11)
◽
pp. 1011-1021
◽
Keyword(s):
1969 ◽
Vol 41
(5)
◽
pp. 1352-1365
◽