Miguel A. Vázquez-Mozo

General properties of non-commutative field theories

In this paper we study general properties of noncommutative field theories obtained from the Seiberg-Witten limit of string theories in the presence of an external B-field. We analyze the extension of the Wightman axioms to this context and explore their consequences, in particular we present a proof of the CPT theorem for theories with space-space noncommutativity. We analyze as well questions associated to the spin-statistics connections, and show that noncommutative N=4, U(1) gauge theory can be softly broken to N=0 satisfying the axioms and providing an example where the Wilsonian low energy effective action can be constructed without UV/IR problems, after a judicious choice of soft breaking parameters is made. We also assess the phenomenological prospects of such a theory, which are in fact rather negative.

Scaling phenomena in gravity from QCD

Abstract We present holographic arguments to predict properties of strongly coupled gravitational systems in terms of weakly coupled gauge theories. In particular we relate the latest computed value for the Choptuik critical exponent in black hole formation in five dimensions, γ 5 D = 0.412 ± 1 % , to the saturation exponent of four-dimensional Yang–Mills theory in the Regge limit, γ BFKL ≃ 0.410 .

Lattice perturbation theory in noncommutative geometry and parity anomaly in 3d noncommutative QED

We formulate lattice perturbation theory for gauge theories in noncommutative geometry. We apply it to three-dimensional noncommutative QED and calculate the effective action induced by Dirac fermions. In particular ``parity invariance of a massless theory receives an anomaly expressed by the noncommutative Chern-Simons action. The coefficient of the anomaly is labelled by an integer depending on the lattice action, which is a noncommutative counterpart of the phenomenon known in the commutative theory. The parity anomaly can also be obtained using Ginsparg-Wilson fermions, where the masslessness is guaranteed at finite lattice spacing. This suggests a natural definition of the lattice-regularized Chern-Simons theory on a noncommutative torus, which could enable nonperturbative studies of quantum Hall systems.

Constraints on hidden photons from current and future observations of CMB spectral distortions

A variety of beyond the standard model scenarios contain very light hidden sector U(1) gauge bosons undergoing kinetic mixing with the photon. The resulting oscillation between ordinary and hidden photons leads to spectral distortions of the cosmic microwave background. We update the bounds on the mixing parameter

A cosmological interpretation of duality

chi_0

On noncentral collisions of Reissner-Nordström shock waves in AdSD

and the mass of the hidden photon

GRAVITATIONAL SHOCKS AS A KEY INGREDIENT OF GAMMA-RAY BURSTS

m_{gamma}

Collision of gravitational shock waves in AdS and holography

for future experiments measuring CMB spectral distortions, such as PIXIE and PRISM/COrE. For

Color-kinematics duality and dimensional reduction for graviton emission in Regge limit

10^{-14};{rm eV}lesssim m_{gamma}lesssim 10^{-13};{rm eV}

Noncentral collisions of Reissner-Nordstr\"om Shock Gravitational Waves in AdS

, we find the kinetic mixing angle