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

Результат исследований: Материалы для журналаСтатья

3 Цитирования (Scopus)

Выдержка

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.

Язык оригиналаАнглийский
Страницы (с-по)390-396
Число страниц7
ЖурналPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Том383
Номер выпуска4
DOI
СостояниеОпубликовано - 12 сен 1996

Отпечаток

current algebra
perturbation theory
tensors
analogs

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Цитировать

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

В: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Том 383, № 4, 12.09.1996, стр. 390-396.

Результат исследований: Материалы для журналаСтатья

@article{490e31fe30ac4b848b8da2e11cf5eed4,
title = "One-loop finiteness of the four-dimensional Donaldson-Nair-Schiff non-linear sigma-model",
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.",
author = "Ketov, {Sergei V.}",
year = "1996",
month = "9",
day = "12",
doi = "10.1016/0370-2693(96)00784-8",
language = "English",
volume = "383",
pages = "390--396",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",
number = "4",

}

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 -