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2013

BRST technique for the cosmological density matrix

Barvinsky, Andrei O.

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The microcanonical density matrix in closed cosmology has a natural definition as a projector on the space of solutions of Wheeler-DeWitt equations, which is motivated by the absence of global non-vanishing charges and energy in spatially closed gravitational systems.

Using the BRST/BFV formalism in relativistic phase space of gauge and ghost variables we derive the path integral representation for this projector and the relevant statistical sum.
This derivation circumvents the difficulties associated with the open algebra of noncommutative quantum Dirac constraints and the construction/regularization of the physical inner product in the subspace of BRS singlets.
This inner product is achieved via the Batalin-Marnelius gauge fixing in the space of BRS-invariant states, which in its turn is shown to be a result of truncation of the BRST/BFV formalism to the "matter" sector of relativistic phase space.

BRST technique for the cosmological density matrix · Around

Built on

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A.D.Linde, Lett. Nuovo Cim. 39
1984
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I.A.Batalin and E.S.Fradkin, Riv. Nuovo Cim. 9
1988
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A.O. Barvinsky, Phys. Lett. B241
1990
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M. Henneaux and C. Teitelboim, Quantization of gauge systems
1992
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A.O.Barvinsky, Phys. Rep. 230
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J.D.Brown and J.W.York, Jr., Phys. Rev. D47
1993
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R.Ferraro, M.Henneaux and M.Puchin, J. Math. Phys. 34 (1993) 2757, hep-th/9210070; Phys. Lett. B333
1994
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Then

R.Marnelius, Nucl. Phys. B418
1994
Later among the works it cites.
R.Marnelius, Nucl. Phys. B395
1995
Later among the works it cites.
R.Marnelius, J. Math. Phys. 36
1995
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B.L.Altshuler and A.O.Barvinsky, Physics-Uspekhi 39
1996
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A.O.Barvinsky, Phys. Rev. Lett. 99
2007
Later among the works it cites.
A.O.Barvinsky and A.Yu.Kamenshchik, JCAP 09
Original
2011
Later among the works it cites.
A.O.Barvinsky, C.Deffayet and A.Yu.Kamenshchik, JCAP 05 (2008) 020, arXiv:0801.2063

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