All Questions
Tagged with lattice-gauge-theory electromagnetism
3
questions
3
votes
0
answers
101
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Why doesn't Peierls substitution capture the Lorentz force?
It's well known that the classical Hamiltonian governing the dynamics of a charged particle in a static magnetic field is
$$ S_{cl}[x,\dot{x}] = \int_0^t dt' \frac{1}{2}m\dot{\vec{x}}^2 + e\vec{A}(x)\...
- 2,829
1
vote
1
answer
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Square lattice in the magnetic field; can someone please explain hopping factor Hofstadter uses?
If we have a square lattice in a homogenous magnetic field $\vec{B}=(0,0,B)$ and we use the Landau gauge for the magnetic potential $\vec{A}=(0,Bx,0)$; then, I have two questions:
QUESTION $1$. Is the ...
- 49
2
votes
0
answers
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Does the existence of the monopole in a 2+1D $U(1)$ gauge theory require the gauge field compact?
I find the monopole is allowed in a 2+1D compact $U(1)$ gauge theory in lattice (Hermele, PRB 69,064404 (2004)), there the gauge field $A$ is also compact and takes value in $[0,2\pi)$, so there is a ...
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