التفاصيل البيبلوغرافية
| العنوان: |
BPHZ renormalization and its application to non-commutative field theory. |
| المؤلفون: |
Blaschke, Daniel, Gieres, François, Heindl, Franz, Schweda, Manfred, Wohlgenannt, Michael |
| المصدر: |
European Physical Journal C -- Particles & Fields; Sep2013, Vol. 73 Issue 9, p1-16, 16p |
| مصطلحات موضوعية: |
RENORMALIZATION (Physics), PLANAR graphs, STANDARD model (Nuclear physics), GAUGE field theory, FEYNMAN diagrams, PROBLEM solving |
| مستخلص: |
In a recent work a modified BPHZ scheme has been introduced and applied to one-loop Feynman graphs in non-commutative ϕ-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 term and thereby to a renormalizable model. Finally, we address the application of this approach to gauge field theories. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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