Quantum anomaly and geometric phase: Their basic differences
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چکیده
منابع مشابه
J an 2 00 6 Quantum anomaly and geometric phase ; their basic differences
It is sometimes stated in the literature that the quantum anomaly is regarded as an example of the geometric phase. Though there is some superficial similarity between these two notions, we here show that the differences bewteen these two notions are more profound and fundamental. As an explicit example, we analyze in detail a quantum mechanical model proposed by M. Stone, which is supposed to ...
متن کاملGeometric phase and chiral anomaly ; their basic differences 1 Kazuo Fujikawa
All the geometric phases are shown to be topologically trivial by using the second quantized formulation. The exact hidden local symmetry in the Schrödinger equation, which was hitherto unrecognized, controls the holonomy associated with both of the adiabatic and non-adiabatic geometric phases. The second quantized formulation is located in between the first quantized formulation and the field ...
متن کاملar X iv : h ep - t h / 05 11 14 2 v 1 1 4 N ov 2 00 5 Quantum anomaly and geometric phase ; their basic differences
It is sometimes stated in the literature that the quantum anomaly is regarded as an example of the geometric phase. Though there is some superficial similarity between these two notions, we here show that the differences bewteen these two notions are more profound and fundamental. As an explicit example, we analyze in detail a quantum mechanical model proposed by M. Stone, which is supposed to ...
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Berry's phase has been fashionable in many areas of physics and in chemistry and also among mathematicians and mathematical physicists. The mathematical people are attracted to this area because it is related to the beautiful mathematics of bre bundles which underlay gauge theories. In fact this is the most accessible example of a gauge theory for people who know just the elementary facts of no...
متن کاملGeometric Phase and Chiral Anomaly in Path Integral Formulation
All the geometric phases, adiabatic and non-adiabatic, are formulated in a unified manner in the second quantized path integral formulation. The exact hidden local symmetry inherent in the Schrödinger equation defines the holonomy. All the geometric phases are shown to be topologically trivial. The geometric phases are briefly compared to the chiral anomaly which is naturally formulated in the ...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2006
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.73.025017