Solution to the 1+1 dimensional gauged chiral Fermion problem
Solution to the 1+1 dimensional gauged chiral Fermion problem
复制标题
DOI：
10.1103/physrevd.99.111501
复制
发表时间：
2018-07
影响因子：
5
通讯作者：
Juven C. Wang;X. Wen
中科院分区：
文献类型：
--
作者：
Juven C. Wang;X. Wen
我们发现3450U(1)手征费米子理论可以表现为1+1D局域晶格模型的低能有效场论，具有在位U(1)对称性和有限范围相互作用。现场U(1)对称性意味着U(1)对称性是可以测量的(对于背景探测场和动态场都是可测量的)，这导致了手征规范理论的非微扰定义-手征费米子理论与U(1)规范理论耦合。由于最近通过玻色化-费米化技术证明了U(1)t Hooft无反常条件和U(1)对称相互作用间隙规则之间的“Poincar‘e对偶”等价，我们的构造可以被推广到正则化任何U(1)-无反常1+1D规范手征费米子理论的晶格手征中心电荷为零(因此没有引力反常)。
We show that the 3450 U(1) chiral fermion theory can appear as the low energy effective field theory of a 1+1D local lattice model, with an on-site U(1) symmetry and finite-range interactions. The on-site U(1) symmetry means that the U(1) symmetry can be gauged (gaugeable for both background probe and dynamical fields), which leads to a non-perturbative definition of chiral gauge theory --- a chiral fermion theory coupled to U(1) gauge theory. Our construction can be generalized to regularize any U(1)-anomaly-free 1+1D gauged chiral fermion theory with a zero chiral central charge (thus no gravitational anomaly) by a lattice, thanks to the recently proven "Poincar\'e dual" equivalence between the U(1) 't Hooft anomaly free condition and the U(1) symmetric interaction gapping rule, via a bosonization-fermionization technique.