### Abstract

The most general four-dimensional non-linear sigma-model, having second-order derivatives only and interacting with a background metric and an antisymmetric tensor field, is constructed. Despite its apparent non-renormalizability, just imposing the one-loop UV-finiteness conditions determines a unique model, which may be finite to all orders of the quantum perturbation theory. This model is known as the four-dimensional Donaldson-Nair-Schiff theory, which is a four-dimensional analogue of the standard two-dimensional Wess-Zumino-Novikov-Witten model, and whose unique finiteness properties and an infinite-dimensional current algebra have long been suspected.

Original language | English |
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Pages (from-to) | 390-396 |

Number of pages | 7 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 383 |

Issue number | 4 |

DOIs | |

Publication status | Published - 12 Sep 1996 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**One-loop finiteness of the four-dimensional Donaldson-Nair-Schiff non-linear sigma-model.** / Ketov, Sergei V.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - One-loop finiteness of the four-dimensional Donaldson-Nair-Schiff non-linear sigma-model

AU - Ketov, Sergei V.

PY - 1996/9/12

Y1 - 1996/9/12

N2 - The most general four-dimensional non-linear sigma-model, having second-order derivatives only and interacting with a background metric and an antisymmetric tensor field, is constructed. Despite its apparent non-renormalizability, just imposing the one-loop UV-finiteness conditions determines a unique model, which may be finite to all orders of the quantum perturbation theory. This model is known as the four-dimensional Donaldson-Nair-Schiff theory, which is a four-dimensional analogue of the standard two-dimensional Wess-Zumino-Novikov-Witten model, and whose unique finiteness properties and an infinite-dimensional current algebra have long been suspected.

AB - The most general four-dimensional non-linear sigma-model, having second-order derivatives only and interacting with a background metric and an antisymmetric tensor field, is constructed. Despite its apparent non-renormalizability, just imposing the one-loop UV-finiteness conditions determines a unique model, which may be finite to all orders of the quantum perturbation theory. This model is known as the four-dimensional Donaldson-Nair-Schiff theory, which is a four-dimensional analogue of the standard two-dimensional Wess-Zumino-Novikov-Witten model, and whose unique finiteness properties and an infinite-dimensional current algebra have long been suspected.

UR - http://www.scopus.com/inward/record.url?scp=0010948883&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0010948883&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(96)00784-8

DO - 10.1016/0370-2693(96)00784-8

M3 - Article

AN - SCOPUS:0010948883

VL - 383

SP - 390

EP - 396

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4

ER -