کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893005 1044062 2011 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New observables in topological instantonic field theories
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
New observables in topological instantonic field theories
چکیده انگلیسی

Instantonic theories are quantum field theories where all correlators are determined by integrals over the finite-dimensional space (space of generalized instantons). We consider novel geometrical observables in instantonic topological quantum mechanics that are strikingly different from standard evaluation observables. These observables allow jumps of special type for the trajectory (at the point of insertion of such observables). They do not (anti)commute with evaluation observables and raise the dimension of the space of allowed configurations, while the evaluation observables lower this dimension. We study these observables in geometric and operator formalisms. Simple examples are explicitly computed; they depend on the linking of points.The new “arbitrary jump” observables may be used to construct correlation functions computing, e.g., the linking numbers of cycles, as we illustrate on Hopf fibration.We expect that such observables could be generalized in an interesting way to instantonic topological theories in all dimensions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 61, Issue 10, October 2011, Pages 1868–1880
نویسندگان
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