Ivan Kostov :

Boundary Ground Ring in 2D String Theory [hep-th/0312301] Renormalisation group techniques are pivotal in the study of the fixed point behaviour of quantum field theories. After a brief introduction into the exact (functional) renormalisation group and its optimisation, I discuss recent advances in (i) quantum gravity and (ii) confinement. In quantum gravity, we present analytic results for an UV fixed point. Its implications in the context of Weinberg’s asymptotic safety scenario are discussed. In QCD, it is shown how the full momentum dependence of gluon and ghost propagators is extracted. Our results support the Kugo-Ojima confinement criterion, and are in accord with recent Schwinger-Dyson and lattice computations.

Theory Division, CERN, Geneva

Planar N=4 gauge theory and the Inozemtsev long range spin chain [hep-th/0401057]

Ivan Kostov :

Boundary Ground Ring in 2D String Theory [hep-th/0312301] Renormalisation group techniques are pivotal in the study of the fixed point behaviour of quantum field theories. After a brief introduction into the exact (functional) renormalisation group and its optimisation, I discuss recent advances in (i) quantum gravity and (ii) confinement. In quantum gravity, we present analytic results for an UV fixed point. Its implications in the context of Weinberg’s asymptotic safety scenario are discussed. In QCD, it is shown how the full momentum dependence of gluon and ghost propagators is extracted. Our results support the Kugo-Ojima confinement criterion, and are in accord with recent Schwinger-Dyson and lattice computations.

Theory Division, CERN, Geneva

Didina Serban et Mathias Staudacher :

Planar N=4 gauge theory and the Inozemtsev long range spin chain [hep-th/0401057]

Ivan Kostov :

Boundary Ground Ring in 2D String Theory [hep-th/0312301] Renormalisation group techniques are pivotal in the study of the fixed point behaviour of quantum field theories. After a brief introduction into the exact (functional) renormalisation group and its optimisation, I discuss recent advances in (i) quantum gravity and (ii) confinement. In quantum gravity, we present analytic results for an UV fixed point. Its implications in the context of Weinberg’s asymptotic safety scenario are discussed. In QCD, it is shown how the full momentum dependence of gluon and ghost propagators is extracted. Our results support the Kugo-Ojima confinement criterion, and are in accord with recent Schwinger-Dyson and lattice computations.

Theory Division, CERN, Geneva

Didina Serban et Mathias Staudacher :

Planar N=4 gauge theory and the Inozemtsev long range spin chain [hep-th/0401057]

Ivan Kostov :

Boundary Ground Ring in 2D String Theory [hep-th/0312301] Renormalisation group techniques are pivotal in the study of the fixed point behaviour of quantum field theories. After a brief introduction into the exact (functional) renormalisation group and its optimisation, I discuss recent advances in (i) quantum gravity and (ii) confinement. In quantum gravity, we present analytic results for an UV fixed point. Its implications in the context of Weinberg’s asymptotic safety scenario are discussed. In QCD, it is shown how the full momentum dependence of gluon and ghost propagators is extracted. Our results support the Kugo-Ojima confinement criterion, and are in accord with recent Schwinger-Dyson and lattice computations.

Theory Division, CERN, Geneva

Diverging length scale and upper critical dimension in the mode-coupling theory of the glass transition [cond-mat/0401260]

Didina Serban et Mathias Staudacher :

Planar N=4 gauge theory and the Inozemtsev long range spin chain [hep-th/0401057]

Ivan Kostov :

Boundary Ground Ring in 2D String Theory [hep-th/0312301] Renormalisation group techniques are pivotal in the study of the fixed point behaviour of quantum field theories. After a brief introduction into the exact (functional) renormalisation group and its optimisation, I discuss recent advances in (i) quantum gravity and (ii) confinement. In quantum gravity, we present analytic results for an UV fixed point. Its implications in the context of Weinberg’s asymptotic safety scenario are discussed. In QCD, it is shown how the full momentum dependence of gluon and ghost propagators is extracted. Our results support the Kugo-Ojima confinement criterion, and are in accord with recent Schwinger-Dyson and lattice computations.

Theory Division, CERN, Geneva

Giulio Biroli et Jean-Philippe Bouchaud :

Diverging length scale and upper critical dimension in the mode-coupling theory of the glass transition [cond-mat/0401260]

Didina Serban et Mathias Staudacher :

Planar N=4 gauge theory and the Inozemtsev long range spin chain [hep-th/0401057]

Ivan Kostov :

Boundary Ground Ring in 2D String Theory [hep-th/0312301] Renormalisation group techniques are pivotal in the study of the fixed point behaviour of quantum field theories. After a brief introduction into the exact (functional) renormalisation group and its optimisation, I discuss recent advances in (i) quantum gravity and (ii) confinement. In quantum gravity, we present analytic results for an UV fixed point. Its implications in the context of Weinberg’s asymptotic safety scenario are discussed. In QCD, it is shown how the full momentum dependence of gluon and ghost propagators is extracted. Our results support the Kugo-Ojima confinement criterion, and are in accord with recent Schwinger-Dyson and lattice computations.

Theory Division, CERN, Geneva

Giulio Biroli et Jean-Philippe Bouchaud :

Diverging length scale and upper critical dimension in the mode-coupling theory of the glass transition [cond-mat/0401260]

Didina Serban et Mathias Staudacher :

Planar N=4 gauge theory and the Inozemtsev long range spin chain [hep-th/0401057]

Ivan Kostov :

Boundary Ground Ring in 2D String Theory [hep-th/0312301] Renormalisation group techniques are pivotal in the study of the fixed point behaviour of quantum field theories. After a brief introduction into the exact (functional) renormalisation group and its optimisation, I discuss recent advances in (i) quantum gravity and (ii) confinement. In quantum gravity, we present analytic results for an UV fixed point. Its implications in the context of Weinberg’s asymptotic safety scenario are discussed. In QCD, it is shown how the full momentum dependence of gluon and ghost propagators is extracted. Our results support the Kugo-Ojima confinement criterion, and are in accord with recent Schwinger-Dyson and lattice computations.

Theory Division, CERN, Geneva

Bethe Ansatz calculation of the spectral gap of the asymmetric exclusion process [cond-mat/0312371]

Giulio Biroli et Jean-Philippe Bouchaud :

Diverging length scale and upper critical dimension in the mode-coupling theory of the glass transition [cond-mat/0401260]

Didina Serban et Mathias Staudacher :

Planar N=4 gauge theory and the Inozemtsev long range spin chain [hep-th/0401057]

Ivan Kostov :

Boundary Ground Ring in 2D String Theory [hep-th/0312301] Renormalisation group techniques are pivotal in the study of the fixed point behaviour of quantum field theories. After a brief introduction into the exact (functional) renormalisation group and its optimisation, I discuss recent advances in (i) quantum gravity and (ii) confinement. In quantum gravity, we present analytic results for an UV fixed point. Its implications in the context of Weinberg’s asymptotic safety scenario are discussed. In QCD, it is shown how the full momentum dependence of gluon and ghost propagators is extracted. Our results support the Kugo-Ojima confinement criterion, and are in accord with recent Schwinger-Dyson and lattice computations.

Theory Division, CERN, Geneva

For a general class of unitary quantum maps, whose underlying classical phase space is divided into ergodic and non-ergodic components, we prove analogues of Weyl’s law for the distribution of eigenphases, and the Schnirelman-Zelditch-Colin de Verdiere Theorem on the equidistribution of eigenfunctions with respect to the ergodic components of the classical map (quantum ergodicity). Olivier Golinelli et Kirone Mallick :

Bethe Ansatz calculation of the spectral gap of the asymmetric exclusion process [cond-mat/0312371]

Giulio Biroli et Jean-Philippe Bouchaud :

Diverging length scale and upper critical dimension in the mode-coupling theory of the glass transition [cond-mat/0401260]

Didina Serban et Mathias Staudacher :

Planar N=4 gauge theory and the Inozemtsev long range spin chain [hep-th/0401057]

Ivan Kostov :

Boundary Ground Ring in 2D String Theory [hep-th/0312301] Renormalisation group techniques are pivotal in the study of the fixed point behaviour of quantum field theories. After a brief introduction into the exact (functional) renormalisation group and its optimisation, I discuss recent advances in (i) quantum gravity and (ii) confinement. In quantum gravity, we present analytic results for an UV fixed point. Its implications in the context of Weinberg’s asymptotic safety scenario are discussed. In QCD, it is shown how the full momentum dependence of gluon and ghost propagators is extracted. Our results support the Kugo-Ojima confinement criterion, and are in accord with recent Schwinger-Dyson and lattice computations.

Theory Division, CERN, Geneva

For a general class of unitary quantum maps, whose underlying classical phase space is divided into ergodic and non-ergodic components, we prove analogues of Weyl’s law for the distribution of eigenphases, and the Schnirelman-Zelditch-Colin de Verdiere Theorem on the equidistribution of eigenfunctions with respect to the ergodic components of the classical map (quantum ergodicity). Olivier Golinelli et Kirone Mallick :

Bethe Ansatz calculation of the spectral gap of the asymmetric exclusion process [cond-mat/0312371]

Giulio Biroli et Jean-Philippe Bouchaud :

Diverging length scale and upper critical dimension in the mode-coupling theory of the glass transition [cond-mat/0401260]

Didina Serban et Mathias Staudacher :

Planar N=4 gauge theory and the Inozemtsev long range spin chain [hep-th/0401057]

Ivan Kostov :

Boundary Ground Ring in 2D String Theory [hep-th/0312301] Renormalisation group techniques are pivotal in the study of the fixed point behaviour of quantum field theories. After a brief introduction into the exact (functional) renormalisation group and its optimisation, I discuss recent advances in (i) quantum gravity and (ii) confinement. In quantum gravity, we present analytic results for an UV fixed point. Its implications in the context of Weinberg’s asymptotic safety scenario are discussed. In QCD, it is shown how the full momentum dependence of gluon and ghost propagators is extracted. Our results support the Kugo-Ojima confinement criterion, and are in accord with recent Schwinger-Dyson and lattice computations.

Theory Division, CERN, Geneva