Wilson Loops for a quark anti-quark pair in D3-brane space

Boschi-Filho, Henrique; Braga, Nelson R. F.

doi:10.1088/1126-6708/2005/03/051

Cited by 16 publications

(32 citation statements)

References 24 publications

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“…So one can conclude that this plot corresponds to a nonconfining potential which is essentially Coulomb-like, as the one found by Maldacena in [6] for the case of the pure AdS space. This result is also in agreement with [22] where a for the D3 branes. nonconfining potential ∼ −1/ was obtained in the regime 1 ≫ 0 with 0 ≪ .…”

Section: Nonconfining Behavioursupporting

confidence: 90%

“…This plot shows that the distance has a monotonic decreasing behaviour as 0 is increased. Next we plot in Figure 9(b) the potential interaction (22). We can see from this plot that the potential shows a nonconfining behaviour: it has a positive slope going asymptotically to zero as increases.…”

Section: Nonconfining Behaviourmentioning

confidence: 95%

“…This distance turns out to be an expression in terms of 0 and 1 (resp., minimum and maximum for coordinate in the worldsheet, as shown in Figure 1. See [8,22]):…”

Section: Wilson Loops In D3 M2 and M5 Brane Spacesmentioning

confidence: 99%

“…Following the MRY approach, the calculation of the distance separation (5) and the static potential interaction (8) between a pair of quarks on the D3 brane was obtained in [22]:…”

Section: D3 Branementioning

confidence: 99%

“…For this regime the distance / 5 between the pair of quarks (22) against 0 / 5 is plotted in Figure 9(a). This plot shows that the distance has a monotonic decreasing behaviour as 0 is increased.…”

Section: Nonconfining Behaviourmentioning

confidence: 99%

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A Study of Confinement for QQ- Potentials on D3, M2, and M5 Branes

Quijada

Boschi-Filho

2017

Advances in High Energy Physics

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this article was funded by SCOAP 3 .We study analytically and numerically the interaction potentials between a pair of quark and antiquark on D3, M2, and M5 branes. These potentials are obtained using Maldacena's method involving Wilson loops and present confining and nonconfining behaviours in different situations that we explore in this work. In particular, at the near horizon geometry, the potentials are nonconfining in agreement with conformal field theory expectations. On the other side, far from horizon, the dual field theories are no longer conformal and the potentials present confinement. This is in agreement with the behaviour of strings in flat space where the string mimics the expected flux tube of QCD. A study of the transition between the confining/nonconfining regimes in the three different scenarios (D3, M2, and M5) is also performed.

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Section: Nonconfining Behavioursupporting

confidence: 90%

Section: Nonconfining Behaviourmentioning

confidence: 95%

“…This distance turns out to be an expression in terms of 0 and 1 (resp., minimum and maximum for coordinate in the worldsheet, as shown in Figure 1. See [8,22]):…”

Section: Wilson Loops In D3 M2 and M5 Brane Spacesmentioning

confidence: 99%

“…Following the MRY approach, the calculation of the distance separation (5) and the static potential interaction (8) between a pair of quarks on the D3 brane was obtained in [22]:…”

Section: D3 Branementioning

confidence: 99%

Section: Nonconfining Behaviourmentioning

confidence: 99%

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A Study of Confinement for QQ- Potentials on D3, M2, and M5 Branes

Quijada

Boschi-Filho

2017

Advances in High Energy Physics

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Constructing warm inflationary model in brane–antibrane system

2014

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We study warm inflationary universe model on the BIon in thermal background.The BIon is a configuration in flat space of a D-brane and a parallel anti-D-brane connected by a wormhole with F-string charge. When the branes and antibranes are well separated and the brane's spike is far from the antibrane's spike, wormhole isn't formed however when two branes are close to each other, they can be connected by a wormhole. In this condition, there exists many channels for flowing energy from extra dimensions into our universe and inflation may naturally occur in a warm region.We present a model that allows all cosmological parameters like the scale factor a, the Hubble parameter H and universe energy density depend on the shape function and temperature of wormhole in transverse dimension between two branes. In our model, the expansion of 4D universe is controlled by the thermal wormhole between branes and ends up in Big-Rip singularity. We show that at this singularity, universe would be destroyed and one black F-string formed. Finally, we test our model against WMAP, Planck and BICEP2 data and obtain the ripping time. According to experimental data, N 50 case leads to n s 0.96, where N and n s are the number e-folds and the spectral index respectively. This standard case may be found in 0.01 < R T ensor−scalar < 0.3, where R T ensor−scalar is the tensor-scalar ratio.At this point, the finite time that Big Rip singularity occurs is t rip = 29(Gyr) for WMAP and Planck data and t rip = 27.5(Gyr) for BICEP2 data. Comparing this time with the time of Big Rip in brane-antibrane, we find that the wormhole in BIonic system accelerates the destruction of the universe.

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