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

light front quantization
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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


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SLIDE 1

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

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SLIDE 2

Light-front Quantization

ILCAC, Inc. URL: http://www.ilcacinc.org/ framework for analysis of hadrons in QCD:

x+ = t + z, x− = t − z, p− = E − pz, p+ = E + pz

❅ ❅ ❅ ❅ ■ ✻ ✲

z x+ t x−

nonperturbative Hamiltonian eigenvalue problem:

P−|P +, P⊥ = M 2+P 2

P +

|P +, P⊥

well-defined Fock-state expansion:

|proton = ψuud|uud + ψuudg|uudg + ψuudq¯

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

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SLIDE 3

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

ζ 2 4 6 8 10

(2π/α) ae

0.2 0.4 0.6 0.8 1.0 1.2

µ1/me

100 200 300 400 500

(2π/α) ae

0.2 0.4 0.6 0.8 1.0 1.2

  • ne-photon truncation

with self-energy two-photon truncation insufficient, one-loop constraint

Snowmass 2013 – p. 3/4

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SLIDE 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