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Scalar and gauge translation-invariant noncommutative models · Around

2008

Scalar and gauge translation-invariant noncommutative models

Tanasa, Adrian

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We make here a short overview of the recent developments regarding translation-invariant models on the noncommutative Moyal space.

A scalar model was first proposed and proved renormalizable.
Its one-loop renormalization group flow and parametric representation were calculated.
Furthermore, a mechanism to take its commutative limit was recently given.

Built on

S. Minwalla, M. Van Raamsdonk and N. Seiberg, JHEP 0002
2000
Earlier work this paper cites.
H. Grosse and R. Wulkenhaar, Commun. Math. Phys. 256
2005
Earlier work this paper cites.
R. Gurau, A. P. C. Malbouisson, V. Rivasseau and A. Tanasa, Lett. Math. Phys. 81
2005
Earlier work this paper cites.
A. de Goursac, A. Tanasa and J. C. Wallet, Eur. Phys. J. C 53
Original
2007
Earlier work this paper cites.

Similar

V. Rivasseau and A. Tanasa, Commun. Math. Phys. 279
2007
Cited alongside, same era.
A. de Goursac, J. C. Wallet and R. Wulkenhaar, Eur. Phys. J. C 51
2007
Cited alongside, same era.
H. Grosse and M. Wohlgenannt, Eur. Phys. J. C 52
2007
Cited alongside, same era.
R. Gurau and A. Tanasa, Annales H. Poincaré 9
2008
Cited alongside, same era.
A. Tanasa, sollicited by Modern Encyclopedia of Mathematical Physics
Cited in the paper.
A. de Goursac, J. C. Wallet and R. Wulkenhaar, arXiv:0803.3035[hep-th]
Original
Cited in the paper.
H. Grosse and R. Wulkenhaar, arXiv:0709.0095 [hep-th]
Original
Cited in the paper.
R. Gurau, J. Magnen, V. Rivasseau and A. Tanasa, Commun. Math. Phys. in press
Cited in the paper.
A. Tanasa, arXiv:0807.2779 [math-ph]
Original
Cited in the paper.
H. Grosse and F. Vignes-Tourneret, arXiv:0803.1035 [math-ph]
Original
Cited in the paper.
J. B. Geloun and A. Tanasa, arXiv:0806.3886 [math-ph]
Original
Cited in the paper.
D. N. Blaschke, F. Gieres, E. Kronberger, T. Reis, M. Schweda and R. I. P. Sedmik, arXiv:0807.3270 [hep-th]
Original
Cited in the paper.

Then

A. Tanasa, J. Phys. Conf. Ser. 103
2008
Closest in time.
A. Tanasa and F. Vignes-Tourneret, J. Noncomm. Geom. 2
2008
Closest in time.
D. N. Blaschke, F. Gieres, E. Kronberger, M. Schweda and M. Wohlgenannt, J. Phys. A 41
2008
Closest in time.
R. C. Helling and J. You, JHEP 0806
2008
Closest in time.

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