On a parametrization method for the semiclassical vacuum problem. I. (English) Zbl 0639.58042
A formalism to study the semiclassical vacuum problem is introduced. Using this formalism we try to satisfy two competitive natural hypotheses: H1, the vacuum definition must assure the absorption of the infinities, coming from the vacuum expectation value of the energy- momentum tensor of the matter fields, in the bare constants of the gravitational classic action; H2, the vacuum must be the ground state. It is proved that the system of equations yielded by these two hypotheses is, in general, incompatible. With this formalism, the vacuum problem in curved space-time is stated. It is hoped that this formalism could eventually be used to solve the problem.
MSC:
| 58Z05 | Applications of global analysis to the sciences |
| 81T99 | Quantum field theory; related classical field theories |
| 83E99 | Unified, higher-dimensional and super field theories |
Keywords:
semiclassical vacuum problem; energy-momentum tensor of the matter fields; gravitational classic actionReferences:
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