A construction of lattice chiral gauge theories. (English) Zbl 0990.81578
Summary: Path integration over Euclidean chiral fermions is replaced by the quantum mechanics of an auxiliary system of non-interacting fermions. Our construction avoids the no-go theorem and faithfully maintains all the known important features of chiral fermions, including the violation of some perturbative conservation laws by gauge field configurations of non-trivial topology.
MSC:
| 81T25 | Quantum field theory on lattices |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
References:
| [1] | Kaplan, D. B., Phys. Lett. B, 288, 342 (1992) |
| [2] | Yang, Z., Phys. Lett. B, 296, 151 (1992) |
| [3] | Narayanan, R.; Neuberger, H., Phys. Lett. B, 302, 62 (1993) |
| [4] | Narayanan, R.; Neuberger, H., Nucl. Phys. B, 412, 574 (1994) · Zbl 1007.81559 |
| [5] | Narayanan, R.; Neuberger, H., Phys. Rev. Lett., 71, 3251 (1993) · Zbl 0972.81637 |
| [6] | Narayanan, R.; Neuberger, H., (Nucl. Phys. B (Proc. Suppl.), 34 (1994)), 587 |
| [7] | Wilczek, F., Phys. Rev. Lett., 59, 2397 (1987) |
| [8] | Frolov, S. A.; Slavnov, A. A., Phys. Lett. B, 309, 344 (1993) |
| [9] | Quillen, D., Funk. Anal. Prilozen, 19, 37 (1985) |
| [10] | Feng, J.; Preskill, J., CALT-68-1278 (June 1985) |
| [11] | ’t Hooft, G., Phys. Rev. D, 14, 3432 (1976) |
| [12] | S. Aoki, R. Livien, in preparation.; S. Aoki, R. Livien, in preparation. |
| [13] | Witten, E., Nucl. Phys. B, 223, 422 (1983) |
| [14] | B. Blok, unpublished notes.; B. Blok, unpublished notes. |
| [15] | Smit, J.; Vink, J., Nucl. Phys. B, 286, 485 (1987) |
| [16] | Banks, T.; Casher, A., Nucl. Phys. B, 169, 103 (1980) |
| [17] | Witten, E., Phys. Rev. Lett., 51, 2351 (1983) |
| [18] | Callan, C.; Dashen, R.; Gross, D., Phys. Rev. D, 20, 3279 (1979) |
| [19] | Axenides, M.; Johansen, A.; Nielsen, H. B., Mod. Phys. Lett. A, 9, 501 (1994) · Zbl 1021.81905 |
| [20] | Curci, G.; Veneziano, G., Nucl. Phys. B, 292, 555 (1987) |
| [21] | Banks, T.; Frishman, Y.; Yankielowicz, S., Nucl. Phys. B, 191, 493 (1981) |
| [22] | Eichten, E.; Preskill, J., Nucl. Phys. B, 268, 179 (1986) |
| [23] | Schwinger, J., Phys. Rev., 128, 2425 (1962) · Zbl 0118.44001 |
| [24] | Zumino, B., (Dewitt, B. S.; Stora, R., Relativity, Groups and Topology II, Les Houches 1983 (1984), North-Holland: North-Holland Amsterdam) |
| [25] | Perez, M. G.; Gonzalez-Arroyo, A.; Snippe, J.; van Baal, P., Nucl. Phys. B, 413, 535 (1994) |
| [26] | Teper, M., Phys. Lett. B, 162, 357 (1985) |
| [27] | G. Bhanot, R. Narayanan and H. Neuberger, unpublished.; G. Bhanot, R. Narayanan and H. Neuberger, unpublished. |
| [28] | Elitzur, S., Phys. Rev. D, 12, 3978 (1975) |
| [29] | Rossi, G. C.; Sarno, R.; Sisto, R., Nucl. Phys. B, 398, 101 (1993) |
| [30] | Preskill, J., Ann. Phys., 210, 323 (1991) |
| [31] | Faddeev, L. D.; Shatashvili, S. L., Theor. Math. Phys., 60, 206 (1984) |
| [32] | Fujikawa, K., Phys. Rev. Lett., 42, 1195 (1979) |
| [33] | S. Shenker, unpublished (1980).; S. Shenker, unpublished (1980). |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
