This is my attempt at this program.
- Computing the ground state of the harmonic oscillator
- Computing the first excited state of the harmonic oscillator using
$x(t)$ in the correlator - Computing the first excited state of the harmonic oscillator using
$x^3(t)$ in the correlator - Error & correlation analysis of harmonic oscillator results
- Show that
$\langle 0 | \Gamma (0) | \phi : p=0 \rangle = \frac{Z_2}{2m_{\phi}}$ - Improved action for the harmonic oscillator
- Dealing with ghost states by numerical corrections to discretised frequency for harmonic oscillator
- Dealing with ghost states by numerical corrections to discretised frequency for anharmonic oscillator
- Twisted rectangle improvement
- Show that $\langle 0 | \frac{1}{3} \text{Tr} U_{\mu} | 0 \rangle $ is equal to the landau gauge in the limit
$a \to 0$ - Pure gauge simulation to compute plaquette and rectangle expectation values with wilson and rectangular improved actions
- Computing the static quark anti-quark potential.