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Journal Articles European Physical Journal C: Particles and Fields Year : 2013

BPHZ renormalization and its application to non-commutative field theory

D.N. Blaschke
  • Function : Author
F. Heindl
  • Function : Author
M. Schweda
  • Function : Author
M. Wohlgenannt
  • Function : Author

Abstract

In a recent work a modified BPHZ scheme has been introduced and applied to one-loop Feynman graphs in non-commutative phi^4-theory. In the present paper, we first review the BPHZ method and then we apply the modified BPHZ scheme as well as Zimmermann's forest formula to the sunrise graph, i.e. a typical higher-loop graph involving overlapping divergences. Furthermore, we show that the application of the modified BPHZ scheme to the IR-singularities appearing in non-planar graphs (UV/IR mixing problem) leads to the introduction of a 1/p^2 term and thereby to a renormalizable model. Finally, we address the application of this approach to gauge field theories.

Dates and versions

in2p3-00872611 , version 1 (14-10-2013)

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Cite

D.N. Blaschke, F. Gieres, F. Heindl, M. Schweda, M. Wohlgenannt. BPHZ renormalization and its application to non-commutative field theory. European Physical Journal C: Particles and Fields, 2013, 73, pp.2566. ⟨10.1140/epjc/s10052-013-2566-8⟩. ⟨in2p3-00872611⟩
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