We derive compact analytical formulae of the Bonneau-Martin type for the reaction e + e − → ¯ f f γ with cuts on minimal energy and acollinearity of the fermions, where the photons may be emitted both from the initial or final states. Soft-photon exponentiation is also taken into account. One of the cleanest scattering processes at elementary particle accelerators is fermion-pair production in ...

We consider the interaction of gravity, as expressed by Einstein’s Equations of General Relativity, to other force fields. We describe some recent results, discussing both the mathematics, and the physical interpretations. These results concern both elementary particles, as well as cosmological models. (This paper describes joint work variously done with with F. Finster, N. Kamran, B. Temple, a...

These proceedings summarize lectures that were delivered as part of the 2002 and 2003 Theoretical Advanced Study Institutes in elementary particle physics (TASI) at the University of Colorado at Boulder. They are intended to provide a pedagogical introduction to cosmology aimed at advanced graduate students in particle physics and string theory.

Symmetries and conservation laws have both played a vital part in the development of the Standard Model in the 20 century, and discoveries of symmetry violations have helped to propel elementary particle physics forward to the theory we have today. In this essay I attempt to introduce both the historical and theoretical background to this most important concept in particle physics, as well as g...

These proceedings summarize lectures that were delivered as part of the 2002 and 2003 Theoretical Advanced Study Institutes in elementary particle physics (TASI) at the University of Colorado at Boulder. They are intended to provide a pedagogical introduction to cosmology aimed at advanced graduate students in particle physics and string theory.

It is well-expected that unifying gravity with other interactions requires a decisive change of perspective on some of our ideas. We can mention String Theory as the most suggestive approach in this direction. Here we are going to focus our attention on the Kaluza-Klein (KK) approach 1,2 (see 3 for a recent review), since it realizes the issue of the unification, without avoiding one of the mos...

In theoretical physics, paradoxes are good. That’s paradoxical, since a paradox appears to be a contradiction, and contradictions imply serious error. But Nature cannot realize contradictions. When our physical theories lead to paradox we must find a way out. Paradoxes focus our attention, and we think harder. When David Gross and I began the work that led to this Nobel Prize [1, 2, 3, 4], in 1...

We present a broad review on black holes. We analyse some of the fundamental concepts in black hole theory, the observational and theoretical status of stellar and galactic black holes, and their appearance

Extensive air showers (EAS) are known for about 70 years to be cascades initiated by primary cosmic rays in the atmosphere. As such, they serve as connection to the highest particle energies nature is offering, especially at energies exceeding 10 eV where direct measurements of cosmic rays are hampered by the low primary flux. EAS can be viewed as tools for astroparticle physics. The main task ...

Symmetries and their consequences are central to physics. In this chapter we will discuss a particular set of symmetries that have played a seminal role in the development of elementary particle and nuclear physics. These are the isospin symmetry of nuclear interactions and its natural extension, the so-called Eightfold Way. The organization of this chapter is as follows: In the next section we...