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Prog. Theor. Phys. Vol. 70 No. 4 (1983) pp. 1124-1140

[ Full Text PDF : FREE ACCESS (531K) ]

Hermitian Fermi Operators

— Its Representation, Path-Integral of Feddeev-Popov Ghost and Supersymmetry (BRS Invariance) —

Tarō Kashiwa

Department of Physics, Kyushu University 33, Fukuoka 812

(Received May 30, 1983)

Abstract:

The foundation of hermitian Fermi operator which is usually interpreted as Feddeev-Popov ghost is dicussed. Its representation and path-integral formulae for both transition amplitude and Euclidean trace are given. A quantum mechanical model with BRS invariance is also discussed to clarify that in certain types of stochastic differential equations the vanishing of the vacuum energy can be viewed as the consequences of the quartet mechanism in the operator formalism.


URL : http://ptp.ipap.jp/link?PTP/70/1124/
DOI : 10.1143/PTP.70.1124

[ Full Text PDF : FREE ACCESS (531K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 83 No. 3 (1990) pp. 379-384 :
    Hermitian Fermi Coordinates, Dimensions and Path Integrals
    Hideo Nakajima
  2. Progress of Theoretical Physics Vol. 115 No. 5 (2006) pp. 951-978 :
    On the Wave Aspect of Relativistic Quantum Fields
    Minoru Omote and Susumu Kamefuchi
  3. Progress of Theoretical Physics Vol. 117 No. 4 (2007) pp. 745-763 :
    Gauge Freedom in the Path Integral Formalism
    Seiji Sakoda

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