Light-front quantization From the White Paper by the Board of - PowerPoint PPT Presentation

Light-front quantization From the White Paper by the Board of Directors of ILCAC, Inc. John R. Hiller jhiller@d.umn.edu Department of Physics University of Minnesota Duluth Snowmass 2013 – p. 1/4

Light-front Quantization t ✻ x − ILCAC, Inc. URL: http://www.ilcacinc.org/ ❅ ■ � ✒ x + ❅ � ✲ � ❅ framework for analysis of hadrons in QCD: z � ❅ x + = t + z , x − = t − z , p − = E − p z , p + = E + p z nonperturbative Hamiltonian eigenvalue problem: P ⊥ � = M 2 + P 2 P − | P + , � | P + , � P ⊥ � ⊥ P + well-defined Fock-state expansion: | proton � = ψ uud | uud � + ψ uudg | uudg � + ψ uudq ¯ q | uudq ¯ q � + · · · boost-invariant & process-independent wave functions free of vacuum contributions Minkowski space: time-like and space-like processes no fermion doubling no formulation-specific light-quark problem Snowmass 2013 – p. 2/4

Progress & Successes direct evidence for a Maldacena duality conjecture –SDLCQ Collaboration (Pinsky, jrh, et al.) massively parallel Lanczos code –Vary et al. nonperturbative QED in an arbitrary covariant gauge –Chabysheva and jrh relativistic quark models based on light-front holography –Brodsky and De Téramond effective-particle representation via renormalization gp –Wilson and Głazek methods for finite-temperature calculations –SDLCQ Collaboration, Beyer and Strauss 1.2 1.2 1.0 1.0 (2 π/α) a e (2 π/α) a e 0.8 0.8 0.6 0.6 one-photon truncation with self-energy 0.4 0.4 two-photon truncation insufficient, one-loop constraint 0.2 0.2 0 2 4 6 8 10 0 100 200 300 400 500 ζ µ 1 / m e Snowmass 2013 – p. 3/4

Goals & Challenges calculation of hadron masses, wave functions, form factors, GPDs,... light-front coupled-cluster method analysis of hadronic and nuclear phenomenology at zero and finite temperature understanding of vacuum structure zero modes, effective interactions construction of nonperturbative regularization St Petersburg group (Paston et al.) classification of total angular momentum eigenstates rotations about x and y are dynamical physics of intense laser fields nonperturbative strong-field QED Snowmass 2013 – p. 4/4