کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895484 1533739 2016 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
C∗C∗-algebras of holonomy-diffeomorphisms & quantum gravity II
ترجمه فارسی عنوان
جبرهای C * C * از holonomy-diffeomorphisms و گرانش کوانتومی دوم
کلمات کلیدی
هندسه غیر مبادله‌ای؛ جاذبه کوانتومی؛ متغیرهای Ashtekar
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی

We introduce the holonomy-diffeomorphism algebra, a C∗C∗-algebra generated by flows of vector fields and the compactly supported smooth functions on a manifold. We show that the separable representations of the holonomy-diffeomorphism algebra are given by measurable connections, and that the unitary equivalence of the representations corresponds to measured gauge equivalence of the measurable connections. We compare the setup to Loop Quantum Gravity and show that the generalized connections found there are not contained in the spectrum of the holonomy-diffeomorphism algebra in dimensions higher than one.This is the second paper of two, where the prequel gives an exposition of a framework of quantum gravity based on the holonomy-diffeomorphism algebra.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 99, January 2016, Pages 10–19
نویسندگان
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