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4 papers · 2 filters
Higher order topological invariants from the Chern-Simons action
Roman V. Buniy, Thomas W. Kephart
It is well known that for a field theory with the Chern-Simons action, expectation values of Wilson line operators are topological invariants. The standard result is expressed in t…
Higher order topological actions
Roman V. Buniy, Thomas W. Kephart
In classical mechanics, an action is defined only modulo additive terms which do not modify the equations of motion; in certain cases, these terms are topological quantities. We co…
A proposal for detecting second order topological quantum phase
Roman V. Buniy, Thomas W. Kephart
Gaussian linking of a semiclassical path of a charged particle with a magnetic flux tube is responsible for the Aharonov-Bohm effect, where one observes interference proportional t…
Inner fluctuations of the spectral action
Alain Connes, Ali H. Chamseddine
We prove in the general framework of noncommutative geometry that the inner fluctuations of the spectral action can be computed as residues and give exactly the counterterms for th…