Study on an Improved Fuzzy-Integral Measure Method and Its Application

Author(s):  
Yan-bing Yin ◽  
Shao-wei Liu ◽  
Xue Feng
1993 ◽  
Vol 29 (5) ◽  
pp. 289-297 ◽  
Author(s):  
Hiroki SADATOKU ◽  
Mitsuo NAGAMACHI ◽  
Yukihiro MATSUBARA ◽  
Takehisa ONISAWA

Author(s):  
Michael Kachelriess

Noethers theorem shows that continuous global symmetries lead classically to conservation laws. Such symmetries can be divided into spacetime and internal symmetries. The invariance of Minkowski space-time under global Poincaré transformations leads to the conservation of the four-momentum and the total angular momentum. Examples for conserved charges due to internal symmetries are electric and colour charge. The vacuum expectation value of a Noether current is shown to beconserved in a quantum field theory if the symmetry transformation keeps the path-integral measure invariant.


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