Wilson loops in non-commutative Yang–Mills

Ishibashi, Nobuyuki; Iso, Satoshi; Kawai, Hiroyuki; Kitazawa, Yoshihisa

doi:10.1016/s0550-3213(99)00708-7

Cited by 207 publications

(289 citation statements)

References 39 publications

Supporting

Mentioning

278

Contrasting

Unclassified

Order By: Relevance

“…It is expected that when the higher derivative interactions are included in (2.1), the full noncommutative U(N) gauge invariance will be recovered at the level of the effective action. 4 More precisely, effective actions involving Wilson lines [22,23,24] can be written down which are explicitly gauge invariant [25,26,27] and which reduce to (2.1) when higher-derivative terms are dropped.…”

Section: Uv/ir Mixing and The Decoupling Of U(1)mentioning

confidence: 99%

Noncommutative Standard Modelling

Khoze

Levell

2004

J. High Energy Phys.

View full text Add to dashboard Cite

We present a noncommutative gauge theory that has the ordinary Standard Model as its low-energy limit. The model is based on the gauge group U(4) × U(3) × U(2) and is constructed to satisfy the key requirements imposed by noncommutativity: the UV/IR mixing effects, restrictions on representations and charges of matter fields, and the cancellation of noncommutative gauge anomalies. At energies well below the noncommutative mass scale our model flows to the commutative Standard Model plus additional free U(1) degrees of freedom which are decoupled due to the UV/IR mixing. Our model also predicts the values of the hypercharges of the Standard Model fields.

show abstract

Section: Uv/ir Mixing and The Decoupling Of U(1)mentioning

confidence: 99%

Noncommutative Standard Modelling

Khoze

Levell

2004

J. High Energy Phys.

View full text Add to dashboard Cite

show abstract

“…The gauge invariant observables in NC gauge theory, Wilson lines, have been obtained from the Wilson loops in matrix models [7].…”

Section: Introductionmentioning

confidence: 99%

Vertex operators in IIB matrix model

Kitazawa

2002

J. High Energy Phys.

Self Cite

View full text Add to dashboard Cite

The vertex operators for the supergravity multiplet can be constructed through the Wilson lines in IIB matrix model. We investigate the structure of the vertex operators and the symmetry of their correlation functions. For this purpose, we perturb the theory by the Wilson lines dual to the supergravity multiplet. The structure of the Wilson lines can be determined by requiring N =2 SUSY under the low energy approximation. We argue that the generating functional of the correlators is invariant under local SUSY transformations of IIB

show abstract

“…Noncommutative gauge theories are the topic of much recent interest [1]- [9]. Early examples of such theories arose in nonperturbative regularizations of membranes [10,11], D-branes and strings [12]- [15], and they have also recently emerged at various limits of M theory.…”

mentioning

confidence: 99%