کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10720602 1031194 2013 72 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multi-loop zeta function regularization and spectral cutoff in curved spacetime
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Multi-loop zeta function regularization and spectral cutoff in curved spacetime
چکیده انگلیسی
We emphasize the close relationship between zeta function methods and arbitrary spectral cutoff regularizations in curved spacetime. This yields, on the one hand, a physically sound and mathematically rigorous justification of the standard zeta function regularization at one loop and, on the other hand, a natural generalization of this method to higher loops. In particular, to any Feynman diagram is associated a generalized meromorphic zeta function. For the one-loop vacuum diagram, it is directly related to the usual spectral zeta function. To any loop order, the renormalized amplitudes can be read off from the pole structure of the generalized zeta functions. We focus on scalar field theories and illustrate the general formalism by explicit calculations at one-loop and two-loop orders, including a two-loop evaluation of the conformal anomaly.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 877, Issue 3, 21 December 2013, Pages 956-1027
نویسندگان
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