Speaker
Prof.
Takuya Okuda
(University of Tokyo)
Description
We study the lattice Schwinger model by combining the variational uniform matrix product state (VUMPS) algorithm with a gauge-invariant matrix product ansatz that locally enforces the Gauss law constraint. Both the continuum and lattice versions of the Schwinger model with $\theta=\pi$ are known to exhibit first-order phase transitions for the values of the fermion mass above a critical value, where a second-order phase transition occurs. Our algorithm enables a precise determination of the critical point in the continuum theory. We further analyze the scaling in the simultaneous critical and continuum limits and confirm that the data collapse aligns with the Ising universality class to remarkable precision.
| Parallel Session (for talks only) | Algorithms and artificial intelligence |
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Authors
Prof.
Hirotsugu Fujii
(Nishogakusha University)
Dr
Juan William Pedersen
(RIKEN)
Dr
Kohei Fujikura
(University of Tokyo)
Prof.
Takuya Okuda
(University of Tokyo)
Prof.
Yoshio Kikukawa
(University of Tokyo)
