Aktuelle Entwicklungen in der Theorie II Gitter-Eichtheorie TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAAAAAAAAAAAA Hartmut Wittig Institut für Kernphysik und Helmholtz Institut Mainz KHuK Jahrestagung 30. November 2012

2 | Overview Overview

3 | Nucleon Properties from Lattice QCD I. Nucleon Properties

4 | Nucleon properties from lattice QCD Nucleon properties from lattice QCD Achieve full control over systematic errors Provide stable lattice estimate

5 | Nucleon properties from lattice QCD Nucleon form factors and axial charge

6 | Nucleon properties from lattice QCD Nucleon form factors and axial charge

7 | Nucleon properties from lattice QCD Nucleon form factors and axial charge [Capitani, Della Morte, von Hippel, Jäger, Jüttner, Knippschild, Meyer, H.W., Phys Rev D86 (2012) ]

8 | Nucleon properties from lattice QCD Nucleon form factors and axial charge [Capitani, Della Morte, von Hippel, Jäger, Knippschild, Meyer, Rae, H.W., arXiv: ]

9 | Nucleon properties from lattice QCD Moments of parton distribution functions  Average momentum of unpolarised iso-vector PDF: [Alekhin, Blümlein, Moch, Phys Rev D86 (2012) ]  Excited state contamination cannot explain discrepancy  Strong pion mass dependence?

10 | Nucleon properties from lattice QCD Moments of parton distribution functions [QCDSF Collaboration, Bali et al., Phys Rev D86 (2012) ]

11 | Nucleon properties from lattice QCD Strangeness contribution to the proton spin  Stochastic methods: “stochastic” versus “gauge” noise

12 | Nucleon properties from lattice QCD [QCDSF Collaboration, Bali et al., Phys Rev Lett 108 (2012) ] Strangeness contribution to the proton spin  Non-singlet renormalisation factor:  Results: (No continuum limit, no chiral extrapolation, quenched strange quark)

13 | Resonances and Scattering II. Resonances and Scattering

14 | Nucleon properties from lattice QCD  Mathematically exact formalism in the one-channel case Resonances in Lattice QCD

15 | Nucleon properties from lattice QCD πK scattering and the κ(800) resonance [Döring and Meissner, JHEP 1201 (2012) 009]

16 | Nucleon properties from lattice QCD Scattering processes off charmed mesons [Liu, Orginos, Guo, Hanhart and Meissner, arXiv: ]  Values of LECs allow for predictions in other channels:

Hadronic vacuum polarisation contribution

 Convolution function peaked far below lowest Fourier momentum  Quark-disconnected diagrams contribute  Lattice approach: evaluate convolution integral over Euclidean momenta

Hadronic vacuum polarisation contribution  Current lattice estimates not competitive with dispersive approach:  Improve statistical accuracy  Simulate at the physical pion mass  Include quark-disconnected diagrams

Hadronic vacuum polarisation contribution [Della Morte, Jäger, Jüttner, H.W., JHEP 1203 (2012) 055, and to appear]

Lattice calculations versus dispersion relations [Bernecker, Meyer, EPJA 47 (2011) 148, and in preparation]

23 | QCD Thermodynamics IV. QCD Thermodynamics

24 | QCD Thermodynamics Freeze-out conditions in heavy-ion collisions  RHIC energy scan: measure fluctuations of conserved charges: Net baryon number (B), electric charge (C), Strangeness (S)  Fluctuations provide information on hadronisation:

25 | Nucleon properties from lattice QCD Freeze-out conditions in heavy-ion collisions [BNL-Bielefeld Collaboration, Bazavov et al., Phys Rev Lett 109 (2012) ]

26 | Ab initio nuclear physics V. Ab initio Nuclear Physics

27 | Ab initio nuclear physics The Hoyle state from first principles [Epelbaum, Krebs, Lee, Meissner,… ]

28 | Ab initio nuclear physics The Hoyle state from first principles [Epelbaum, Krebs, Lee, Meissner, Phys Rev Lett 106 (2012) ] Theory (NNLO) Experiment  Good agreement with experiment; consistent two- and three-body forces must be included  Anthropic test: how sensitive is the triple-α process against small modifications in QED and QCD?

29 | Ab initio nuclear physics The Hoyle state from first principles [Epelbaum, Krebs, Lähde, Lee, Meissner, arXiv: ]  Extract information on the structure by preparing different initial states: “bent arm” configuration Preferred by Hoyle state

Precision Physics, Fundamental Interactions and Structure of Matter TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAAAAAAAAAAAA Cluster of Excellence: Hartmut Wittig Institute for Nuclear Physics Matthias Neubert Institute for Physics Spokespersons:

31 | The PRISMA Cluster of Excellence  Approx. 3 programmes p.a., each lasting 3-8 weeks, combined with a topical workshop  Co-organised by a team of external scientists and local researchers  Applications evaluated by International Advisory Board  Additional 2 schools over the 5-year funding period, lasting 2-3 weeks each Scientific Programmes, Workshops and Schools: MITP Programs in 2013: Low-energy precision physics external organisers: K. Kumar, M. Ramsey-Musolf local organisers: H. Meyer, H. Spiesberger The first three years of the LHC external organisers: M. Carena, T. Plehn local organisers: B. Jäger, M. Neubert MITP Programs in 2013: Low-energy precision physics external organisers: K. Kumar, M. Ramsey-Musolf local organisers: H. Meyer, H. Spiesberger The first three years of the LHC external organisers: M. Carena, T. Plehn local organisers: B. Jäger, M. Neubert Mainz Institute for Theoretical Physics (MITP) Call for Proposals for 2014 Nima Arkani-Hamed Marcela Carena Michael Creutz Gian Giudice William Marciano Neal Weiner Manfred Lindner Jan Louis Dirk Kreimer Christof Wetterich Martin Savage Dieter Zeppenfeld