Gravitational Lorentz anomaly from the overlap formula in two-dimensions

In this letter we show that the overlap formulation of chiral gauge theories correctly reproduces the gravitational Lorentz anomaly in 2-dimensions. This formulation has been recently suggested as a solution to the fermion doubling problem on the lattice. The well known response to general coordinate transformations of the effective action of Weyl fermions coupled to gravity in 2-dimensions can also be recovered.

fermion: chiral
dimension: 3
gravitation
anomaly
effective action
perturbation theory: higher-order

References(10)

Figures(0)

Lattice Fermions in Euclidean Space-time

Luuk H. Karsten
(
- Amsterdam U.
)

- Phys.Lett.B 104 (1981) 315-319
•
DOI:
- 10.1016/0370-2693(81)90133-7

Lattice Fermions: Species Doubling, Chiral Invariance, and the Triangle Anomaly

Luuk H. Karsten
(
- Stanford U., ITP
)
,
Jan Smit
(
- Amsterdam U.
)

- Nucl.Phys.B 183 (1981) 103,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 495-532. ( Nucl. Phys. B183 ( 1981) 103-140) and Stanford Univ. - ITP-677 (80,REC.NOV.) 71p
•
DOI:
- 10.1016/0550-3213(81)90549-6

Absence of Neutrinos on a Lattice. 1. Proof by Homotopy Theory

Holger Bech Nielsen
(
- Bohr Inst. and
- Nordita
)
,
M. Ninomiya
(
- Rutherford
)

- Nucl.Phys.B 185 (1981) 20,
- Nucl.Phys.B 195 (1982) 541 (erratum),
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 533-555. ( Nucl. Phys. B185 ( 1981) 20-40). ( Nucl. Phys. B195 ( 1982) 541-542) and Chilton Rutherford Lab. - RL-80-090 (80,REC.JAN.81) 46p
•
DOI:
- 10.1016/0550-3213(82)90011-6