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Article Dans Une Revue Annales Henri Poincaré Année : 2011

Topological graph polynomials and quantum field theory, Part II: Mehler kernel theories

Résumé

We define a new topological polynomial extending the Bollobas-Riordan one, which obeys a four-term reduction relation of the deletion/contraction type and has a natural behavior under partial duality. This allows to write down a completely explicit combinatorial evaluation of the polynomials, occurring in the parametric representation of the non-commutative Grosse-Wulkenhaar quantum field theory. An explicit solution of the parametric representation for commutative field theories based on the Mehler kernel is also provided.
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Dates et versions

hal-00444330 , version 1 (06-01-2010)

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Thomas Krajewski, Vincent Rivasseau, Fabien Vignes-Tourneret. Topological graph polynomials and quantum field theory, Part II: Mehler kernel theories. Annales Henri Poincaré, 2011, 12, pp.483-545. ⟨10.1007/s00023-011-0087-2⟩. ⟨hal-00444330⟩
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