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Quantum effects in five-dimensional Kaluza-Klein theory |
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| Affiliation: | 1. Theoretisch-Physikalisches Institut, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany;2. Helmholtz-Institut Jena, Fröbelstieg 3, D-07743 Jena, Germany;3. Institute of Physics, NAWI Graz, University of Graz, A-8010 Graz, Austria;1. Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia – CSIC, Universidad de Valencia, Burjassot 46100, Valencia, Spain;2. Dipartimento di Fisica, Università di Roma “La Sapienza”, P.le A. Moro 2, 00185 Roma, Italy;3. INFN, Sez. Roma1, P.le A. Moro 2, 00185 Roma, Italy |
| Abstract: | The role of quantum effects in five-dimensional Kaluza-Klein theory is discussed. We concentrate in particular on the evaluation of terms in the one-loop effective action which look like the Maxwell action. A detailed discussion of the reduction of the five-dimensional gravitational action to an equivalent four-dimensional form is given. Self-consistent solutions of the form R4 x S1 are examined. We consider how the inclusion of quantized matter fields into the five-dimensional theory can change results based only on quantum gravitational effects. The importance of including the induced Maxwell term is stressed. It is also noted how a finite renormalization of the one-loop effective action is important. |
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