Improved Perturbation Theory and Four-Dimensional Space-Time in the IIB Matrix Model

Kawai, Hiroyuki; Kawamoto, Shoichi; Kuroki, Tsunehide; Shinohara, Shun'ichi

doi:10.1143/ptp.109.115

Cited by 55 publications

(80 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The mechanism that realizes the brane world in this way has been studied in Refs. [4,5], and by now there are certain evidences that indeed four-dimensional space-time is generated dynamically [6][7][8][9].…”

mentioning

confidence: 94%

Dynamical generation of gauge groups in the massive Yang-Mills–Chern-Simons matrix model

2005

View full text Add to dashboard Cite

It has been known that the dynamics of k coincident D-branes in string theory is described effectively by U(k) Yang-Mills theory at low energy. While these configurations appear as classical solutions in matrix models, it was not clear whether it is possible to realize the k = 1 case as the true vacuum. The massive Yang-Mills-Chern-Simons matrix model has classical solutions corresponding to all the representations of the SU(2) algebra, and provides an opportunity to address the above issue on a firm ground. We investigate the phase structure of the model, and find in particular that there exists a parameter region where O(N ) copies of the spin-1/2 representation appear as the true vacuum, thus realizing a nontrivial gauge group dynamically. Such configurations are analogous to the ones that are interpreted in the BMN matrix model as coinciding transverse 5-branes in M-theory.

show abstract

mentioning

confidence: 94%

Dynamical generation of gauge groups in the massive Yang-Mills–Chern-Simons matrix model

2005

View full text Add to dashboard Cite

show abstract

“…Although we do not yet have a rigorous definition of plateaux, we could identify them by their properties investigated in [9,13,19,20] as follows. The ideal realization of the plateau may have such a property that the improved series is totally independent of the artificial parameters ξ 0 in a certain region.…”

Section: The Improved Perturbation Theorymentioning

confidence: 99%

“…[10,11], which has been further investigated in various manners [12,13,14]. This technique is a sort of variational method [15] to extract nonperturbative information on the vacuum of a theory.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamical generation of non-Abelian gauge group via the improved perturbation theory

2006

Self Cite

View full text Add to dashboard Cite

It was suggested that the massive Yang-Mills-Chern-Simons matrix model has three phases and that in one of them a non-Abelian gauge symmetry is dynamically generated. The analysis was at the one-loop level around a classical solution of fuzzy sphere type. We obtain evidences that three phases are indeed realized as nonperturbative vacua by using the improved perturbation theory. It also gives a good example that even if we start from a trivial vacuum, the improved perturbation theory around it enables us to observe nontrivial vacua.

show abstract

“…[27]. It has been proceeded to even higher orders and extended ansatz [28,29,30]. The mechanism of the spontaneous symmetry breakdown is further examined in a simplified model via the Gaussian expansion method in Ref.…”

Section: Introductionmentioning

confidence: 99%

Improved perturbation method and its application to the IIB matrix model

Aoyama

Shibusa

2006

Nuclear Physics B

View full text Add to dashboard Cite

We present a new scheme for extracting approximate values in "the improved perturbation method", which is a sort of resummation technique capable of evaluating a series outside the radius of convergence.We employ the distribution profile of the series that is weighted by nth-order derivatives with respect to the artificially introduced parameters. By those weightings the distribution becomes more sensitive to the "plateau" structure in which the consistency condition of the method is satisfied. The scheme works effectively even in such cases that the system involves many parameters. We also propose that this scheme has to be applied to each observable separately and be analyzed comprehensively.We apply this scheme to the analysis of the IIB matrix model by the improved perturbation method obtained up to eighth order of perturbation in the former works. We consider here the possibility of spontaneous breakdown of Lorentz symmetry, and evaluate the free energy and the anisotropy of space-time extent. In the present analysis, we find an SO(10)-symmetric vacuum besides the SO(4)-and SO(7)-symmetric vacua that have been observed. It is also found that there are two distinct SO(4)-symmetric vacua that have almost the same value of free energy but the extent of space-time is different. From the approximate values of free energy, we conclude that the SO(4)-symmetric vacua are most preferred among those three types of vacua.

show abstract

Improved Perturbation Theory and Four-Dimensional Space-Time in the IIB Matrix Model

Cited by 55 publications

References 17 publications

Dynamical generation of gauge groups in the massive Yang-Mills–Chern-Simons matrix model

Dynamical generation of gauge groups in the massive Yang-Mills–Chern-Simons matrix model

Dynamical generation of non-Abelian gauge group via the improved perturbation theory

Improved perturbation method and its application to the IIB matrix model

Contact Info

Product

Resources

About