PaperPanorama

HEP Lattice·hep-lat

Tue·Sep 25, 2007

4 papers—4 primary·0 cross-listed·reconstructed*

All4Primary4Cross-lists0
  1. 01*

    Gauge-gravity duality -- Super Yang Mills Quantum Mechanics

    Simon Catterall🇺🇸 · Toby Wiseman🇬🇧

    We describe the conjectured holographic duality between Yang-Mills quantum mechanics and type IIa string theory. This duality allows us to use lattice Monte Carlo simulations to probe the physics of the gravitational theory - for example, at low energies it provides a computation of black hole entropy in terms of a sum over microstates of the dual gauge theory. Numerical results are presented of the 4 supercharge theory at finite temperature

    hep-lathep-thPoS(2007)·9 citations
  2. 02*

    A simple construction of fermion measure term in U(1) chiral lattice gauge theories with exact gauge invariance

    Daisuke Kadoh🇯🇵 · Yoshio Kikukawa🇯🇵

    In the gauge invariant formulation of U(1) chiral lattice gauge theories based on the Ginsparg-Wilson relation, the gauge field dependence of the fermion measure is determined through the so-called measure term. We derive a closed formula of the measure term on the finite volume lattice. The Wilson line degrees of freedom (torons) of the link field are treated separately to take care of the global integrability. The local counter term is explicitly constructed with the local current associated with the cohomologically trivial part of the gauge anomaly in a finite volume. The resulted formula is very close to the known expression of the measure term in the infinite volume with a single parameter integration, and would be useful in practical implementations.

    hep-latJHEP(2008)·15 citations
  3. 03*

    A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance

    Daisuke Kadoh🇯🇵 · Yoshio Kikukawa🇯🇵

    We present a gauge-invariant and non-perturbative construction of the Glashow-Weinberg-Salam model on the lattice, based on the lattice Dirac operator satisfying the Ginsparg-Wilson relation. Our construction covers all SU(2) topological sectors with vanishing U(1) magnetic flux and would be usable for a description of the baryon number non-conservation. In infinite volume, it provides a gauge-invariant regularization of the electroweak theory to all orders of perturbation theory. First we formulate the reconstruction theorem which asserts that if there exists a set of local currents satisfying cetain properties, it is possible to reconstruct the fermion measure which depends smoothly on the gauge fields and fulfills the fundamental requirements such as locality, gauge-invariance and lattice symmetries. Then we give a closed formula of the local currents required for the reconstruction theorem.

    hep-lathep-phhep-thJHEP(2008)·20 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.