mirror of
https://igit.ific.uv.es/alramos/latticegpu.jl.git
synced 2025-05-15 03:33:42 +02:00
47 lines
1.1 KiB
Markdown
47 lines
1.1 KiB
Markdown
# Gradient flow
|
|
|
|
The gradient flow equations can be integrated in two different ways:
|
|
1. Using a fixed step-size integrator. In this approach one fixes the
|
|
step size $\epsilon$ and the links are evolved from
|
|
$V_\mu(t)$ to $V_\mu(t +\epsilon)$ using some integration
|
|
scheme.
|
|
1. Using an adaptive step-size integrator. In this approach one fixes
|
|
the tolerance $h$ and the links are evolved for a time $t_{\rm
|
|
end}$ (i.e. from $V_\mu(t)$ to $V_\mu(t +t_{\rm end})$)
|
|
with the condition that the maximum error while advancing is not
|
|
larger than $h$.
|
|
|
|
In general adaptive step size integrators are much more efficient, but
|
|
one loses the possibility to measure flow quantities at the
|
|
intermediate times $\epsilon, 2\epsilon, 3\epsilon,...$. Adaptive
|
|
step size integrators are ideal for finite size scaling studies, while
|
|
a mix of both integrators is the most efficient approach in scale
|
|
setting applications.
|
|
|
|
## Integration schemes
|
|
|
|
```@docs
|
|
FlowIntr
|
|
wfl_euler
|
|
zfl_euler
|
|
wfl_rk2
|
|
zfl_rk2
|
|
wfl_rk3
|
|
zfl_rk3
|
|
```
|
|
|
|
## Integrating the flow equations
|
|
|
|
```@docs
|
|
flw
|
|
flw_adapt
|
|
```
|
|
|
|
## Observables
|
|
|
|
```@docs
|
|
Eoft_plaq
|
|
Eoft_clover
|
|
Qtop
|
|
```
|
|
|