Published November 2018
| Version v1
Journal article
Implicit schemes for real-time lattice gauge theory
Creators
- 1. Technische Universitaet Wien, Institut fuer Theoretische Physik, Vienna (Austria)
Description
We develop new gauge-covariant implicit numerical schemes for classical real-time lattice gauge theory. A new semi-implicit scheme is used to cure a numerical instability encountered in three-dimensional classical Yang-Mills simulations of heavy-ion collisions by allowing for wave propagation along one lattice direction free of numerical dispersion. We show that the scheme is gauge covariant and that the Gauss constraint is conserved even for large time steps. (orig.)
Availability note (English)
Available from: http://dx.doi.org/10.1140/epjc/s10052-018-6323-xAdditional details
Identifiers
Publishing Information
- Journal Title
- European Physical Journal. C, Particles and Fields (Online)
- Journal Volume
- 78
- Journal Issue
- 11
- Journal Page Range
- p. 1-26
- ISSN
- 1434-6052
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 50004159
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGORITHMS; COMPUTERIZED SIMULATION; ENERGY DENSITY; GAUGE INVARIANCE; HEAVY ION REACTIONS; LATTICE FIELD THEORY; NUCLEAR MATTER; NUMERICAL SOLUTION; REAL TIME SYSTEMS; SU-2 GROUPS; THREE-DIMENSIONAL CALCULATIONS; TIME DEPENDENCE; TWO-DIMENSIONAL CALCULATIONS; U-1 GROUPS; UNIFIED GAUGE MODELS; VECTOR FIELDS; WAVE EQUATIONS; WAVE PROPAGATION; YANG-MILLS THEORY
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL LOGIC; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; MATTER; NUCLEAR REACTIONS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; QUANTUM FIELD THEORY; SIMULATION; SU GROUPS; SYMMETRY GROUPS; U GROUPS