Fermion induced SU(N)(N) Yang-Mills Theory

We investigate the gauge interaction induced by heavy fermions using both dimensional and lattice regularization. We study the condition under which heavy fermions induce a continuum gauge theory.Comment: 4 pages; talk at Lattice '92, Amsterdam, requires , espcrc2.st

Gamma Ray Bursts Spectral--Energy correlations: recent results

The correlations between the rest frame peak of the EF_E spectrum of GRBs Epeak and their isotropic energy (E_iso) or luminosity (L_iso) could have several implications for the understanding of the GRB prompt emission. These correlations are presently founded on the time-averaged spectral properties of a sample of 95 bursts, with measured redshifts, collected by different instruments in the last 13 years (pre-Fermi). One still open issue is wether these correlations have a physical origin or are due to instrumental selection effects. By studying 10 long and 14 short GRBs detected by Fermi we find that a strong time-resolved correlation between E_peak and the luminosity L_iso is present within individual GRBs and that it is consistent with the time-integrated correlation. This result is a direct proof of the existence in both short and long GRBs of a similar physical link between the hardness and the luminosity which is not due to instrumental selection effects. The origin of the E_peak-L_iso correlation should be searched in the radiation mechanism of the prompt emission.Comment: 5 pages, 3 figures, to appear in the proceedings of the 275 IAU Symp: "Jets at all scales", Buenos Aires, Sept. 201

A Generalized Uncertainty Principle in Quantum Gravity

We discuss a Gedanken experiment for the measurement of the area of the apparent horizon of a black hole in quantum gravity. Using rather general and model-independent considerations we find a generalized uncertainty principle which agrees with a similar result obtained in the framework of string theories. The result indicates that a minimum length of the order of the Planck length emerges naturally from any quantum theory of gravity, and that the concept of black hole is not operationally defined if the mass is smaller than the Planck mass.Comment: 10 pages, 1 figure (not included), IFUP-TH 3/9

Black holes, string theory and quantum coherence

On the basis of recently discovered connections between D-branes and black holes, I show how the information puzzle is solved by superstring theory as the fundamental theory of quantum gravity. The picture that emerges is that a well-defined quantum state does not give rise to a black hole even if the apparent distribution of energy, momenta, charges, etc. would predict one on classical grounds. Indeed, geometry - general relativistic space time description - is unwarranted at the quantum microstate level. It is the decoherence leading to macrostates (average over degenerate microstates) that provides - on the same token - the loss of quantum coherence, the emergence of a space time description with causal properties and, thus, the formation of a black hole and its Hawking evaporatio

The Ep,i - Eiso correlation in GRBs: updated observational status, re-analysis and main implications

The correlation between the cosmological rest-frame nuFnu spectrum peak energy, Ep,i, and the isotropic equivalent radiated energy, Eiso, discovered by Amati et al. in 2002 and confirmed/extended by subsequent osbervations, is one of the most intriguing and debated observational evidences in Gamma-Ray Bursts (GRB) astrophysics. In this paper I provide an update and a re-analysis of the Ep,i - Eiso correlation basing on an updated sample consisting of 41 long GRBs/XRFs with firm estimates of z and observed peak energy, Ep,obs, 12 GRBs with uncertain valeus of z and/or Ep,obs, 2 short GRBs with firm estimates of z and Ep,obs and the peculiar sub-energetic events GRB980425/SN1998bw and GRB031203/SN2003lw. In addition to standard correlation analysis and power-law fitting, the data analysis here reported includes a modelization which accounts for sample variance. All 53 classical long GRBs and XRFs, including 11 Swift events with published spectral parameters and fluences, have Ep,i and Eiso values, or upper/lower limits, consistent with the correlation, which shows a chance probability as low as ~7x10{-15}, a slope of ~0.57 (~0.5 when fitting by accounting for sample variance) and an extra-Poissonian logarithmic dispersion of ~0.15, it extends over ~5 orders of magnitude in Eiso and ~3 orders of magnitude in Ep,i and holds from the closer to the higher z GRBs. I also discuss the main implications of the updated Ep,i - Eiso correlation for the models of the physics and geometry of GRB emission, its use for discriminating different classes and as a pseudo-z estimator, and the tests of possible selection effects with GRBs of unknown redshift.Comment: 15 pages, 5 figures, accepted for publication in MNRAS, main journa

Extremely energetic Fermi Gamma-Ray Bursts obey spectral energy correlations

The extremely energetic Fermi GRBs 080916C, with its Eiso of ~ 10^{55} erg in 1 keV - 10 GeV and intense GeV emission, and 090323 give us a unique opportunity to test the reliability and extension of spectral energy correlations. Based on Konus/WIND and Fermi spectral measurements, we find that both events are fully consistent with the updated (95 events as of April 2009) Ep,i - Eiso correlation, thus further confirming and extending it and pointing against a possible flattening or increased dispersion at very high energies. This also suggests that the physics behind the emission of peculiarly bright and hard GRBs is the same as for softer and weaker ones. In addition, we find that the normalization of the correlation obtained by considering these two GRBs and the other long ones for which Ep,i was measured with high accuracy by the Fermi/GBM are fully consistent with those obtained by other instruments (e.g., BeppoSAX, Swift, Konus-WIND), thus indicating that the correlation is not affected significantly by detectors limited thresholds and energy bands. Prompted by the extension of the spectrum of GRB 080916C up to several GeVs without any excess or cut-off, we also investigated if the evaluation of Eiso in the commonly adopted 1 keV - 10 MeV energy band may bias the Ep,i - Eiso correlation contributing to its scatter. By computing Eiso from 1 keV to 10 GeV, the slope of the correlation becomes slightly flatter, while its dispersion does not change significantly. Finally, we find that GRB 080916C is also consistent with most of the other spectral energy correlations derived from it, with the possible exception of the Ep,i - Eiso - tb correlation.Comment: 9 pages, 5 figures, final revised version accepted for pubblication in Astronomy & Astrophysics (main Journal