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Vacuum configurations for renormalizable non-commutative scalar models

Axel de Goursac
(
- Orsay, LPT and
- Munster U.
)
,
A. Tanasa
(
- Orsay, LPT and
- Bucharest, IFIN-HH
)
,
J.C. Wallet
(
- Orsay, LPT
)

Sep, 2007

17 pages

Published in:

Eur.Phys.J.C 53 (2008) 459-466

e-Print:

0709.3950 [hep-th]

DOI:

10.1140/epjc/s10052-007-0465-6

Report number:

LPT-ORSAY-07-86

View in:

reference search54 citations

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Abstract: (arXiv)

In this paper we find non-trivial vacuum states for the renormalizable non-commutative

\phi^4

model. An associated linear sigma model is then considered. We further investigate the corresponding spontaneous symmetry breaking.

non-commutative field theory
spontaneous symmetry breaking
phi**n model: 4
differential geometry: noncommutative
sigma model
spontaneous symmetry breaking
vacuum state

References(58)

Figures(0)

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Michael R. Douglas
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- Rutgers U., Piscataway and
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)
,
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)

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Alain Connes
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Vincent Rivasseau
(
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)
,
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(
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)
,
Raimar Wulkenhaar
(
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(
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Vincent Rivasseau
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Razvan Gurau
(
- Orsay, LPT
)
,
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(
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)

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R. Gurau
(
- Orsay, LPT
)
,
A. Tanasa
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)

- Annales Henri Poincare 9 (2008) 655-683
•
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•
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Adrian Tanasa
(
- Bucharest U. and
- Orsay, LPT
)
,
Fabien Vignes-Tourneret
(
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)

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•
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Harald Grosse
(
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)
,
Raimar Wulkenhaar
(
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)

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•
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•
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