A Theory of algebraic integration

In this paper we study the problem of quantizing theories defined over a nonclassical configuration space. If one follows the path-integral approach, the first problem one is faced with is the one of definition of the integral over such spaces. We consider this problem and we show how to define an integration which respects the physical principle of composition of the probability amplitudes for a very large class of algebras.Comment: 7 pages, LaTeX (or Latex, etc). Contribution to the Path Integral from peV to TeV Conference, Florence-Italy, August 25-29, 199

Anisotropic Color Superconductivity

We discuss the possibility that in finite density QCD an anisotropic phase is realized. This case might arise for quarks with different chemical potential and/or different masses. In this phase crystalline structures may be formed. We consider this possibility and we describe, in the context of an effective lagrangian, the corresponding phonons as the Nambu-Goldstone bosons associated to the breaking of the space symmetries.Comment: LaTex 17 pages, 6 figures. Contributed paper to the International Workshop SCGT 02 "Strong Coupling Gauge Theories and Effective Field Theories", 10-13 December 2002, Nagoya, Japa

On the Ground State of QCD inside a Compact Stellar Object

We describe the effects of the strange quark mass and of the color and electric neutrality on the superconducing phases of QCD.Comment: Invited talk at the 2006 International Workshop SCGT 06 "Origin of Mass and Strong Coupling Gauge Theories" 21-24 November 2006, Nagoya, Japan. Latex file 15 pages. 6 figure

Effective lagrangians for QCD at high density

We describe low energy physics in the CFL and LOFF phases by means of effective lagrangians. In the CFL case we present also how to derive expressions for the parameters appearing in the lagrangian via weak coupling calculations taking advantage of the dimensional reduction of fermion physics around the Fermi surface. The Goldstone boson of the LOFF phase turns out to be a phonon satisfying an anisotropic dispersion relation.Comment: LaTex 10 pages. No figures. Invited talk at the Conference "QCD@work", Martinafranca (Bari), June 16-20, 200

The impact of atomic precision measurements in high energy physics

In this talk I discuss the relevance of atomic physics in understanding some important questions about elementary particle physics. A particular attention is devoted to atomic parity violation measurements which seem to suggest new physics beyond the Standard Model. Atomic physics might also be relevant in discovering possible violations of the CPT symmetry.Comment: Talk given at the XVII International Conference on Atomic Physics, ICAP 2000, Florence, June 4-9, 2000. LaTeX, p.16. A sentence and a reference have been modifie

Non-relativistic Spinning Particle in a Newton-Cartan Background

We construct the action of a non-relativistic spinning particle moving in a general torsionless Newton-Cartan background. The particle does not follow the geodesic equations, instead the motion is governed by the non-relativistic analog of Papapetrou equation. The spinning particle is described in terms of Grassmann variables. In the flat case the action is invariant under the non-relativistic analog of space-time vector supersymmetry.Comment: Published versio