BRST technique for the cosmological density matrix

Abstract

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.

13 pages, LaTeX

References in corpus (3)

• Cosmological Landscape From Nothing: Some Like It Hot
• Why there is something rather than nothing (out of everything)?
• Anomaly Driven Cosmology: Big Boost Scenario and AdS/CFT Correspondence

Cited by in corpus (8)

• Selection rules for the Wheeler-DeWitt equation in quantum cosmology
• Origin of inflation in CFT driven cosmology: $R^2$-gravity and non-minimally coupled inflaton models
• CFT driven cosmology and conformal higher spin fields
• Notes on conformal anomaly, nonlocal effective action and the metamorphosis of the running scale
• Thermal power spectrum in the CFT driven cosmology
• New type of hill-top inflation
• BRST Quantization of Cosmological Perturbations
• Preferred basis, decoherence and a quantum state of the Universe