IPM Calendar 
Saturday 18 May 2024   Today  
Events for day: Monday 09 January 2023    
           11:00 - 12:00     Journal Club: Experiment & Phenomenology meeting
Weak coupling limit of U(1) lattice model in Fourier basis



The transfer matrix of the U(1) lattice model is considered in the Fourier basis and in the weak coupling limit. The issues of Gauss law constraint and gauge invariant states are addressed in the Fourier basis. In particular, it is shown that in the strong coupling limit the gauge invariant Fourier states are effectively the finite-size closed loop currents. In the weak coupling limit, however, the link currents along periodic or infinite spatial directions find comparable roles as gauge invariant states. The subtleties related to the extremely weak coupling of the transfer matrix in the Fourier basis are discussed. A ...