Speaker
Tetsuya Onogi
(The University of Osaka)
Description
We study conserved charges for the 3+1 D staggered fermion Hamiltonian.
In addition to $\mathrm{U}(1)_V$ charge $Q_0$, we find that the system has three independent non-singlet charges $Q_{x_i}$ $(i=x,y,z)$ that generate axial $\mathrm{SU}(2)_A$ transformations in the continuum limit. On the lattice, these charges do not commute with $Q_0$, signaling a mixed anomaly between $\mathrm{U}(1)_V$ and the subgroups $\mathrm{U}(1)_F$ of $\mathrm{SU}(2)_L \times \mathrm{SU}(2)_R \times \mathrm{U}(1)_A$.
We show that this anomaly becomes trivial in the continuum by analyzing the lattice Ward–Takahashi identity associated with $\mathrm{U}(1)_F$.
| Parallel Session (for talks only) | Theoretical developments and applications beyond Standard Model |
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Author
Tetsuya Onogi
(The University of Osaka)
Co-author
Tatsuya Yamaoka
(The university of Osaka)
