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FIAS Scientific Report 2011 - Frankfurt Institute for Advanced Studies ...

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Black holes in short scale modified theories<br />

Collaborators: P. Nicolini 1 , M. Bleicher 1,2 , L. Modesto 3 , J. W. Moffat 3 , J.R. Mureika 4 , M. Sprenger 1,2 , E.<br />

Winstanley 5<br />

1 <strong>Frankfurt</strong> <strong>Institute</strong> <strong>for</strong> <strong>Advanced</strong> <strong>Studies</strong>, 2 Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität,<br />

3 Perimeter <strong>Institute</strong> <strong>for</strong> Theoretical Physics, Canada, 4 Loyola Marymount University, Los Angeles, USA, 5 University<br />

of Sheffield, UK.<br />

A curvature singularity in general relativity represents the breakdown of the description of the gravitational<br />

field in classical terms. However, contrary to the other interactions, gravity escapes a direct quantization <strong>for</strong> the<br />

appearance of an uncontrolled number of divergences in the perturbation theory at all orders. This fact prevents<br />

to consistently apply any regularization scheme to gravity. To circumvent the problem we have followed another<br />

route, namely the <strong>for</strong>mulation of an ultraviolet finite quantum gravity by considering nonlocal terms in the<br />

graviton Lagrangian.<br />

As a test <strong>for</strong> the new theory, we studied nonlocal gravity as a static interaction emerging from the virtual<br />

graviton exchange. We found relevant short scale modifications which provide an asymptotic safe character<br />

of the gravitational field: the classical black hole curvature singularity is replaced by a regular deSitter core<br />

accounting <strong>for</strong> the quantum vacuum energy of virtual gravitons. On the thermodynamics side the Hawking<br />

emission is characterized by a maximum black hole temperature and a phase transition towards a positive heat<br />

capacity cooling down even <strong>for</strong> the neutral non-rotating case. At the end of the evaporation a black hole remnant<br />

<strong>for</strong>ms corresponding to the extremal, zero temperature configuration.<br />

Given this background we studied the repercussions of the new metric on the phenomenology of microscopic<br />

black holes in particle detectors. By considering the case of additional spatial dimensions we showed that a<br />

maximum temperature determines an emission of soft particles mostly on the brane. This result is in marked<br />

contrast to previous findings based on inadequate classical metrics and opens the route to potentially distinctive<br />

signatures <strong>for</strong> the black hole production in particle detectors.<br />

The Hawking radiation as a quantum vacuum effect in the presence of an event horizon.<br />

Related publications in <strong>2011</strong>:<br />

1) L. Modesto, J. W. Moffat and P. Nicolini, Black holes in an ultraviolet complete quantum gravity, Physics<br />

Letters B 695 (<strong>2011</strong>) 290.<br />

2) J. R. Mureika and P. Nicolini, Aspects of noncommutative (1+1)-dimensional black holes, Physical Review<br />

D 84 (<strong>2011</strong>) 044020.<br />

3) P. Nicolini and E. Winstanley, Hawking emission from quantum gravity black holes, JHEP 1111 (<strong>2011</strong>) 075.<br />

4) M. Bleicher, P. Nicolini, M. Sprenger and E. Winstanley, Micro black holes in the laboratory, International<br />

Journal of Modern Physics E 20S2 (<strong>2011</strong>) 7.<br />

65

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