New formulation of the classical path integral with reparametrization invariance

Journal of Mathematical Physics

Volumn 38, Issue 5, 1997, Pages 2389-2416

  Thacker, W D ^a  

^a SAINT LOUIS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031534242     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531987     Document Type: Article

References (56)

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34. The graded commutators are defined by [A,B] = AB + BA if both A and B are Grassmann-odd and [A,B] = AB - BA otherwise. The angular brackets indicate that the enclosed quantity is evaluated within the path integral as explained in Ref. 16. Henceforth, we shall omit the angular brackets from all expressions involving graded commutators.
35. υ denotes the Lie derivative along some vector field υ.
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52. This argument was generously provided by Ennio Gozzi.
53. J stands for Jacobi.
54. The subscript "gfc" is for gauge fixing and constraint.
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56. P. Carta, Masters thesis, University of Cagliari, 1994.