Regulating chiral gauge theory at $\theta=0$

Autor:	Kaplan, David B., Sen, Srimoyee
Rok vydání:	2024
Předmět:	High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory
Druh dokumentu:	Working Paper
Popis:	It has recently been argued that a proposal to nonperturbatively regulate chiral gauge theories on the boundary of a five-dimensional lattice will fail due to the existence of exact $U(1)$ symmetries not present in the target theories. A related observation is that in the presence of gauge fields with nontrivial topology, fermion zeromodes will appear embedded in the extra dimension which do not decouple from the four-dimensional world. Here we show that these problems can be evaded by simulating the theory in the trivial topological sector of the boundary gauge fields. A regulated version of the Standard Model using this approach in the continuum and large volume limits is expected to appear as if it possessed a Peccei-Quinn mechanism for relaxing $\theta_\text{QCD}$ to zero, without there being an axion in the spectrum. Comment: Corrections to references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.02024 Zobrazit plný text záznamu View this record from Arxiv