کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5495824 | 1529826 | 2017 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
New graph polynomials in parametric QED Feynman integrals
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: New graph polynomials in parametric QED Feynman integrals New graph polynomials in parametric QED Feynman integrals](/preview/png/5495824.png)
چکیده انگلیسی
In recent years enormous progress has been made in perturbative quantum field theory by applying methods of algebraic geometry to parametric Feynman integrals for scalar theories. The transition to gauge theories is complicated not only by the fact that their parametric integrand is much larger and more involved. It is, moreover, only implicitly given as the result of certain differential operators applied to the scalar integrand exp(âΦÎâΨÎ), where ΨΠand ΦΠare the Kirchhoff and Symanzik polynomials of the Feynman graph Î. In the case of quantum electrodynamics we find that the full parametric integrand inherits a rich combinatorial structure from ΨΠand ΦÎ. In the end, it can be expressed explicitly as a sum over products of new types of graph polynomials which have a combinatoric interpretation via simple cycle subgraphs of Î.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 385, October 2017, Pages 328-346
Journal: Annals of Physics - Volume 385, October 2017, Pages 328-346
نویسندگان
Marcel Golz,