Research

  • Effective quantum field theory of gravity

The theory of gravitational field quantized for small fluctuations around a flat metric is nonrenormalizable, i.e., an unlimited number of free parameters is required to absorb all kinds of new UV divergences which are generated as the order of perturbative calculations increases. On the other hand, quantum effects due to gravitation at low energy, much below of the Planck scale (a natural energy scale of quantum theory of gravitation), can be calculated by incorporating its effects in the spirit of an effective field theory. From this point of view, it was proposed that quantum gravity corrections make gauge theories asymptotically free (i.e., the gauge coupling constant goes to zero in the limit of very high energy scales), even though  the gauge coupling does not exhibit this property in the absence of gravity (as in Quantum Electrodynamics (QED)). Our aim is to study the quantum gravity corrections to the beta function of the (Super-)Yang-Mills theories coupled to (Super)gravity through direct calculations of scattering amplitudes, in a tentative to understand the role of gravitational field in the asymptotic behavior of the gauge coupling constants.

  • Spontaneous supersymmetry breaking

Supersymmetry (SUSY) is one of the most beautiful theoretical accomplishments of the present time. However, to construct realistic models of particle physics SUSY should be spontaneously broken at some energy scale, since we do not observe the superpartners of the ordinary particles. Therefore, it is essential to understand under which conditions SUSY should be spontaneously broken, so that may describe the physics beyond standard model.

  • Noncommutative field theory

In the 40's dacade of last century, Heisenberg suggested that an uncertainty principle to spacetime coordinates should improve the ultraviolet behavior of quantum field theories. Inspired by this idea, the first paper in noncommutative field theory (NCFT) was published in 1947, but due to the success of renormalization theory this idea was forgotten until 90's decade. In recent papers, the noncommutative Yang-Mills theory has arisen as a low energy limit of String Theory, producing an increasing of the interest on such theories. Another current motivation is related to "spacetime foam", i.e., of idea that at Planck length order (10-33cm), the spacetime loses its continuum structure and should involve quantum fluctuations of topology and geometry. The formulation of NCFT would be a simpler way to implement these ideas.

  • Published articles

See the list of my publications on inSPIRE HEP .