Efficient simulation of relativistic fermions via vertex models

Journal Article · Thu Oct 01 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.071503· OSTI ID:21325191

Wenger, Urs ^[1]

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1. Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern (Switzerland)

We have developed an efficient simulation algorithm for strongly interacting relativistic fermions in two-dimensional field theories based on a formulation as a loop gas. It essentially eliminates critical slowing down by sampling two-point correlation functions and allows simulations directly in the massless limit at the critical point. It generates loop configurations with fluctuating topological boundary conditions enabling one to simulate fermions with arbitrary periodic or antiperiodic boundary conditions. As illustrative examples, the algorithm is applied to the Gross-Neveu model and to the Schwinger model in the strong coupling limit.

• OSTI ID: 21325191
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 7; Other Information: DOI: 10.1103/PhysRevD.80.071503; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
BOUNDARY CONDITIONS
CONFIGURATION
CORRELATION FUNCTIONS
FERMIONS
LAGRANGIAN FIELD THEORY
PERIODICITY
RELATIVISTIC RANGE
SCHWINGER-TOMONAGA FORMALISM
SIMULATION
SLOWING-DOWN
STRONG-COUPLING MODEL
TWO-DIMENSIONAL CALCULATIONS