One-loop noncommutative U(1) gauge theory from bosonic worldline approach

Kiem, Youngjai; Kim, Yeonjung; Ryou, Cheol; Sato, Haru–Tada

doi:10.1016/s0550-3213(02)00182-7

Cited by 12 publications

(13 citation statements)

References 40 publications

(54 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The contribution to the effective action coming from the pole-like infra-red divergences (8) is not gauge invariant. However it can be completed to produce a gauge invariant expression [19,15,20] …”

Section: String Interpretationmentioning

confidence: 99%

Closed strings tachyons and non-commutative instabilities

Armoni

López

Uranga

2003

J. High Energy Phys.

View full text Add to dashboard Cite

We observe a relation between closed strings tachyons and oneloop instabilities in non-supersymmetric non-commutative gauge theories. In particular we analyze the spectra of type IIB string theory on C 3 /Z N orbifold singularities and the non-commutative field theory that lives on D3 branes located at the singularity. We find a surprising correspondence between the existence or not of one-loop low-momentum instabilities in the non-commutative field theory and the existence or not of tachyons in the closed string twisted sectors. Moreover, the relevant piece of the non-commutative field theory effective action is suggestive of an exchange of closed string modes. This suggests that non-commutative field theories retain some information about the dynamics of the underlying string configuration. Finally, we also comment on a possible relation between closed string tachyon condensation and field theory tachyon condensation.

show abstract

Section: String Interpretationmentioning

confidence: 99%

Closed strings tachyons and non-commutative instabilities

Armoni

López

Uranga

2003

J. High Energy Phys.

View full text Add to dashboard Cite

show abstract

“…This puzzle is solved by studying the effective action of the theory. It has been shown both for scalar [18] and gauge theories [19,13,20] that the 1-loop nonplanar effective action, including contributions from all the N-point functions, can be rewritten in terms of straight open Wilson line operators [22,23,24,25]. This result was extended in [21]…”

Section: Open Wilson Lines Versus Closed Stringsmentioning

confidence: 95%

From UV/IR mixing to closed strings

López¹

2003

J. High Energy Phys.

View full text Add to dashboard Cite

It was shown in hep-th/0301099 that the leading UV/IR mixing effects in noncommutative gauge theories on D-branes are able to capture information about the closed string spectrum of the parent string theory. The analysis was carried out for D-branes on nonsupersymmetric C 3 /Z N orbifolds of Type IIB. In this paper we consider D-branes on twisted circles compactifications of Type II string theory. We find that the signs of the leading UV/IR mixing effects know about the mass gap between the lowest modes in NSNS and RR closed string towers. Moreover, the relevant piece of the field theory effective action can be reproduced purely in the language of closed strings. Remarkably this approach unifies in a single structure, that of a closed string exchange between D-branes, both the leading planar and nonplanar effects associated to the absence of supersymmetry.

show abstract

“…These integrals can be evaluated in a similar way to that used in the the calculation of the integrals appearing in the three-point function calculation. For example, one needs to evaluate, for 23) where 24) and in the last line we have used the low-energy approximation k i k j → 0. Using such integrals, one sees the emergence of terms proportional to the J 2 -and J 3 -functions defined in (2.8) and (2.9), respectively.…”

Section: The Four-point Function Of Background Fieldsmentioning

confidence: 99%

“…Unfortunately, simplifications similar to those exploited in [17] seem to be lacking in the case at hand. 5 It would be interesting to apply the bosonic worldline approach, used in [24] for non-supersymmetric theories, to the case of supersymmetric theories considered here, and see if that formalism would lead to more tractable expressions than those obtained using conventional background perturbation theory.…”

mentioning

confidence: 99%