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Canonical Quantization of QFT
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Module 10
Computational QFT: Lattice Field Theory
1
Discretizing Scalar Field Theory on a Euclidean Lattice
Discretize the action for a scalar field theory on a Euclidean spacetime lattice.
2
Metropolis-Hastings for Lattice Scalar Fields
Implement a Metropolis-Hastings algorithm to generate field configurations for a lattice scalar field theory according to the Boltzmann distribution.
3
Particle Mass from Two-Point Correlation
Compute the two-point correlation function from the generated lattice configurations and extract the particle mass from its exponential decay.
4
Lattice U(1) Gauge Theory: Link Variables and Wilson Action
Discretize a U(1) gauge theory on the lattice by defining link variables and the Wilson plaquette action.
5
Metropolis-Hastings for U(1) Gauge Theory
Implement a Metropolis-Hastings algorithm to simulate the pure U(1) gauge theory.
6
Wilson Loop Expectation Value Calculation
Calculate the expectation value of a Wilson loop on a generated lattice gauge field configuration.
7
Wilson Loops, Confinement, and the Quark-Antiquark Potential
Relate the area law behavior of Wilson loops to the static quark-antiquark potential and the concept of confinement.
8
Calculating Static Potential from Wilson Loops
Numerically compute the static potential from Wilson loop data and identify the linear confining term.
End of course,
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