Lattice evidence for gauge field localization on a brane

Dimopoulos, P.; Farakos, K.; Kehagias, Alex; Koutsoumbas, G.

doi:10.1016/s0550-3213(01)00451-5

Cited by 37 publications

(77 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Actually, it is this confinement which forbids the interaction with neighboring d dimensional layers and implies the effective detection of a four-dimensional world. In a pure anisotropic D=5 U(1) gauge theory, with different couplings β and β ′ in a 4d subspace and the extra fifth transverse direction correspondingly we observe three phases: the Strong-Confining phase, the Layer phase with Coulomb interaction in the four dimensional layers and a five dimensional Coulomb deconfined phase [6,7,8]. Note that the transition line between the Strong coupling (β < 1) phase and the Layer phase (β > 1, β ′ < 0.4) is weakly first order.…”

Section: Introductionmentioning

confidence: 92%

Exploration of the phase diagram of 5D anisotropic SU(2) gauge theory

Farakos

Vrentzos

2012

Nuclear Physics B

View full text Add to dashboard Cite

In this paper we attempt a non-perturbative study of the five dimensional, anisotropic SU(2) gauge theory on the lattice using Monte-Carlo techniques. Our goal is the exploration of the phase diagram, define the various phases and the critical boundary lines. Three phases appear, two of them are continuations of the Strong and the Weak coupling phases of pure 4d SU(2) to non-zero coupling β ′ in the fifth transverse direction and they are separated by a crossover transition, while the third phase is a 5d Coulombic phase. We provide evidence that the phase transition between the 5D Coulomb phase and the Weak coupling phase is a second order phase transition. Assuming that this result is not altered when increasing the lattice volume we give a first estimate of the associated critical exponents. This opens the possibility for a continuum effective five dimensional field theory. *

show abstract

Section: Introductionmentioning

confidence: 92%

Exploration of the phase diagram of 5D anisotropic SU(2) gauge theory

Farakos

Vrentzos

2012

Nuclear Physics B

View full text Add to dashboard Cite

show abstract

“…¶ For the mean field prediction of the phase diagram see [10]. Also for previous attempts for the phase diagram prediction using numerical simulations see [11], [12]. …”

Section: The Phase Diagrammentioning

confidence: 99%

4-dimensional layer phase as a gauge field localization: Extensive study of the 5-dimensional anisotropic U(1) gauge model on the lattice

Dimopoulos¹,

Farakos

Vrentzos

2006

Phys. Rev. D

View full text Add to dashboard Cite

We study a 4+1 dimensional pure Abelian Gauge model on the lattice with two anisotropic couplings independent of each other and of the coordinates. A first exploration of the phase diagram using mean field approximation and monte carlo techniques has demonstrated the existence of a new phase, the so called Layer phase, in which the forces in the 4-D subspace are Coulomb-like while in the transverse direction (fifth dimension) the force is confining. This allows the possibility of a gauge field localization scheme. In this work the use of bigger lattice volumes and higher statistics confirms the existence of the Layer phase and furthermore clarifies the issue of the phase transitions' order. We show that the Layer phase is separated from the strongly coupled phase by a weak first order phase transition. Also we provide evidence that the Layer phase is separated by the five-dimensional Coulomb phase with a second order phase transition and we give a first estimation of the critical exponents. *

show abstract

“…Finally, it will be interesting to extend our study to various types of brane world models [6] as well as to the RS model with two positive and negative tension branes [3] and see how the U(1) gauge field behaves in the 4D effective action. It will be also worth investigating how graviphotons and graviscalar particles interact with the 5D bulk standard model particles [11,12,23] in the presence of branes.…”

Section: Discussionmentioning

confidence: 99%

“…As can be easily seen in Eq. (12), this happens because of the fine tunning between the brane tension σ and the 5D bulk cosmological constant Λ.…”

Section: Kaluza-klein Reductionmentioning

confidence: 99%

U(1) gauge field of the Kaluza-Klein theory in the presence of branes

Kang

Myung

2001

Phys. Rev. D

View full text Add to dashboard Cite

We investigate the zero mode dimensional reduction of the Kaluza-Klein unifications in the presence of a single brane in the infinite extra dimension. We treat the brane as fixed, not a dynamical object, and do not require the orbifold symmetry. It seems that, contrary to the standard Kaluza-Klein models, the 4D effective action is no longer invariant under the U(1) gauge transformations due to the explicit breaking of isometries in the extra dimension by the brane. Surprisingly, however, the linearized perturbation analysis around the RS vacuum shows that the Kaluza-Klein gauge field does possess the U(1) gauge symmetry at the linear level. In addition, the graviscalar also behaves differently from the 4D point of view. Some physical implications of our results are also discussed. *

show abstract

Lattice evidence for gauge field localization on a brane

Cited by 37 publications

References 37 publications

Exploration of the phase diagram of 5D anisotropic SU(2) gauge theory

Exploration of the phase diagram of 5D anisotropic SU(2) gauge theory

4-dimensional layer phase as a gauge field localization: Extensive study of the 5-dimensional anisotropic U(1) gauge model on the lattice

U(1) gauge field of the Kaluza-Klein theory in the presence of branes

Contact Info

Product

Resources

About