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Adriano Di Giacomo

Publications and source records attributed to Adriano Di Giacomo.

47 records · Page 3Linked to original sources
arXiv2000

Topics in Non-Perturbative QCD

General aspects of non-perturbative field theory are discussed.The definition of condensates is analysed.Mechanisms of color confinement are rewieved.

hep-lat↗
arXiv1999

Non Perturbative QCD

This series of lectures consists of two parts. In the first part the foundations of perturbative and non perturbative formulation are discussed. The ambiguity in the definition of vacuum condensates is then analyzed. In the second part the symmetry patterns of the deconfining phase transition are discussed.

hep-lat↗
arXiv1998

Abelianization of SU(N) Gauge Theory with Gauge Invariant Dynamical Variables and Magnetic Monopoles

It is shown that SU(N) gauge theory coupled to adjoint Higgs can be explicitly re-written in terms of SU(N) gauge invariant dynamical variables with local physical interactions. The resultant theory has a novel compact abelian $U(1)^{(N - 1)}$ gauge invariance. The above abelian gauge invariance is related to the adjoint Higgs field and not to the gauge group SU(N). In this abelianized version the magnetic monopoles carrying the magnetic charges of $(N-1)$ types have a natural origin and therefore appear explicitly in the partition function as Dirac monopoles along with their strings. The gauge invariant electric and magnetic charges with respect to $U(1)^{(N-1)}$ gauge groups are shown to be vectors in root and co-root lattices of SU(N) respectively. Therefore, the Dirac quantization condition corresponds to SU(N) Cartan matrix elements being integers. We also study the effect of the $θ$ term in the abelian version of the theory.

hep-th↗
arXiv1997

Field strength correlators in full QCD

We study, by numerical simulations on a lattice, the behaviour of the gauge-invariant two-point correlation functions of the gauge field strengths in the QCD vacuum with dynamical fermions.

hep-lat↗
arXiv1997

Magnetic Monopoles, Gauge Invariant Dynamical Variables and Georgi Glashow Model

We investigate Georgi-Glashow model in terms of a set of explicitly SO(3) gauge invariant dynamical variables. In the new description a novel compact abelian gauge invariance emerges naturally. As a consequence magnetic monopoles occur as point like "defects" in space time. Their non-perturbative contribution to the partition function is explicitly included. This procedure corresponds to dynamical "abelian projection" without gauge fixing. In the Higgs phase the above abelian invariance is to be identified with electromagnetism. We also study the effect of $θ$ term in the above abelian theory.

hep-th↗
arXiv1996

Mechanisms of colour confinement

The dual superconductivity of QCD vacuum as a mechanism for colour confinement is reviewed. Recent evidence from lattice of monopole condensation is presented.

hep-th↗
arXiv1993

Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory

The renormalization functions involved in the determination of the topological susceptibility in the SU(2) lattice gauge theory are extracted by direct measurements, without relying on perturbation theory. The determination exploits the phenomenon of critical slowing down to allow the separation of perturbative and non-perturbative effects. The results are in good agreement with perturbative computations.

hep-lat↗