Nucleon Neutral Weak Form Factors from AdS/QCD Correspondence

ORAL

Abstract

The Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence is an exact correspondence between a 4-dimensional supersymmetric Yang-Mills theory and a theory of quantum gravity in a 5-dimensional AdS space. This correspondence allows one to perform non-perturbative calculations of conformal field theories and has been used to accurately describe aspects of the Quark Gluon Plasma. In order to use this theory to perform non-perturbative Quantum Chromodynamics (QCD) calculations, the conformal symmetry of the AdS metric needs to be broken with either hard wall model which imposes a cutoff at the ultraviolet and inferred energy limits, or a soft wall model in which the AdS metric is multiplied by a dilaton field. This is known as the AdS/QCD correspondence and this approach has been used to calculate Reggie trajectories, form factors, and many other properties of QCD. Using the AdS/QCD correspondence in light front coordinates we attempt to calculate the Dirac and Pauli form factors, F$^{\mathrm{Z}}_{1}$(Q$^{2})$ and F$^{\mathrm{Z}}_{2}$(Q$^{2})$, for the neutral weak charge of both the proton and neutron. This will allow us to access the weak form-factor of nucleons in a non-perturbative regime.

–

Authors

  • Mark Lohmann

    Cal State Univ- Long Beach

  • Sergey Savrasov

    Hartnell College, Cal State Univ- Long Beach, University of California, Davis, School of Natural Science, University of California, Merced, Seagate Technology, Materials Science and Engineering, National Tsing Hua University, Taiwan, University of California - Berkeley, University of Colorado, Boulder -- Dept of Physics, University of California, Berkeley -- Dept of Chemistry, UC Merced, California State University, Fresno, California Institute of Technology, California State University, Long Beach, La Canada Flintridge, CA, Department of Physics, Florida A\&M University, Tallahassee, FL-32307, Physical and Life Sciences, Lawrence Livermore National Laboratory, Livermore, CA-94550, Cal State Univ East Bay, American River College, UC Santa Cruz, Notre Dame High School, Benedict College, Lawrence Livermore National Laboratory, Tuskegee University, California State University, Dominguez Hills, Sonoma State University, Carnegie Observatories, University of California, Los Angeles, Institute of Astronomy, University of Cambridge, UK, University of California, Santa Barbara, University of Alabama, MPIfR, Bonn, Germany, Stanford University, University of California - Davis