Vacuum polarization and Hawking radiation

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dc.contributor.authorRahmati, Shohreh
dc.contributor.supervisorDasgupta, Arundhati
dc.date.accessioned2013-11-05T18:51:50Z
dc.date.available2013-11-05T18:51:50Z
dc.date.issued2012
dc.degree.levelMasters
dc.descriptionix, 109 leaves : ill. ; 29 cmen_US
dc.description.abstractQuantum gravity is one of the interesting fields in contemporary physics which is still in progress. The purpose of quantum gravity is to present a quantum description for spacetime at 10^-33cm or find the `quanta' of gravitational interaction.. At present, the most viable theory to describe gravitational interaction is general relativity which is a classical theory. Semi-classical quantum gravity or quantum field theory in curved spacetime is an approximation to a full quantum theory of gravity. This approximation considers gravity as a classical field and matter fields are quantized. One interesting phenomena in semi-classical quantum gravity is Hawking radiation. Hawking radiation was derived by Stephen Hawking as a thermal emission of particles from the black hole horizon. In this thesis we obtain the spectrum of Hawking radiation using a new method. Vacuum is defined as the possible lowest energy state which is filled with pairs of virtual particle-antiparticle. Vacuum polarization is a consequence of pair creation in the presence of an external field such as an electromagnetic or gravitational field. Vacuum polarization in the vicinity of a black hole horizon can be interpreted as the cause of the emission from black holes known as Hawking radiation. In this thesis we try to obtain the Hawking spectrum using this approach. We re-examine vacuum polarization of a scalar field in a quasi-local volume that includes the horizon. We study the interaction of a scalar field with the background gravitational field of the black hole in the desired quasi-local region. The quasi-local volume is a hollow cylinder enclosed by two membranes, one inside the horizon and one outside the horizon. The net rate of particle emission can be obtained as the difference of the vacuum polarization from the outer boundary and inner boundary of the cylinder. Thus we found a new method to derive Hawking emission which is unitary and well defined in quantum field theory.en_US
dc.identifier.urihttps://hdl.handle.net/10133/3302
dc.language.isoen_CAen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Physics and Astronomy, c2012en_US
dc.publisher.departmentDepartment of Physics and Astronomyen_US
dc.publisher.facultyArts and Scienceen_US
dc.subjectVacuum polarizationen_US
dc.subjectBlackbody radiationen_US
dc.subjectQuantum gravityen_US
dc.subjectDissertations, Academicen_US
dc.titleVacuum polarization and Hawking radiationen_US
dc.typeThesisen_US
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