BRST Quantisation of Histories Electrodynamics

Preprint English OPEN
Noltingk, D. (2001)
  • Related identifiers: doi: 10.1063/1.1503867
  • Subject: General Relativity and Quantum Cosmology
    arxiv: High Energy Physics::Theory

This paper is a continuation of earlier work where a classical history theory of pure electrodynamics was developed in which the the history fields have \emph{five} components. The extra component is associated with an extra constraint, thus enlarging the gauge group of histories electrodynamics. In this paper we quantise the classical theory developed previously by two methods. Firstly we quantise the reduced classical history space, to obtain a reduced quantum history theory. Secondly we quantise the classical BRST-extended history space, and use the BRST charge to define a `cohomological' quantum history theory. Finally we show that the reduced history theory is isomorphic, as a history theory, to the cohomological history theory.
  • References (8)

    [1] C.J. Isham. Quantum Logic and the histories approach to quantum theory. J. Math. Phys. 35 : 2157. 1994. gr-qc/9308006.

    [2] C.J. Isham and N. Linden. Continuous histories and the history group in generalised quantum theory. J. Math. Phys. 36 : 5392. 1995. grqc/9503063.

    [3] C.J. Isham, N. Linden and S. Schreckenberg. The Classification of Decoherence Functionals: An analogue of Gleason's Theorem. J. Math. Phys. 35 : 6360. 1994. gr-qc/9406015.

    [4] C.J. Isham, N. Linden, K. Savvidou and S. Schreckenberg. Continuous Time and Consistent Histories. J. Math. Phys. 37 : 2261. 1998. quantph/9711031.

    [5] S. Schreckenberg. Symmetry and history theory: an analogue of Wigner's theorem. J. Math. Phys. 37 : 6086. 1996. gr-qc/9607051.

    [6] K. Savvidou The action operator in continuous-time histories. J. Math. Phys. 40: 5657. 1999.

    [11] D. Noltingk Classical History theory of vector fields. (To appear in Journ. Math. Phys.) gr-qc/0107067.

    [12] M. Henneaux and C. Teitelboim. Quantization of gauge systems. Princeton University Press. 1992.

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