Light-front ensemble projector Monte Carlo technique

Journal Article · Sun May 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.5446· OSTI ID:7281030

Burkardt, M ^[1]

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1. Institute for Nuclear Theory, Henderson Hall, HN-12, University of Washington, Seattle, Washington 98195 (United States)

A new method to perform numerical simulations of light-front Hamiltonians formulated on transverse lattices is introduced. The method is based on a DLCQ formulation for the (continuous) longitudinal directions. The hopping term in the transverse direction introduces couplings between fields defined on neighboring (1+1)-dimensional sheets. Within each sheet, the light-cone imaginary time evolution operator is calculated numerically with high precision using DLCQ. The coupling between neighboring sheets is taken into account using an initial value random walk algorithm based on the ensemble projector Monte Carlo technique and a checkerboard decomposition for the time evolution operator. The structure functions of [lambda][phi][sup 4] theory in 2+1 dimensions are studied as a trial application. The calculations are performed with up to 64 transverse lattice sites. No Tamm-Dancoff truncations are necessary.

• DOE Contract Number: FG06-90ER40561
• OSTI ID: 7281030
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:10; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
CORRELATION FUNCTIONS
FIELD THEORIES
FUNCTIONS
HAMILTONIANS
LATTICE FIELD THEORY
LIGHT CONE
MATHEMATICAL OPERATORS
MONTE CARLO METHOD
QUANTIZATION
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPACE-TIME
STRUCTURE FUNCTIONS
TAMM-DANCOFF METHOD