Phase diagram for the anisotropic SU(2) adjoint Higgs model in 5D: Lattice evidence for layered structure

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

doi:10.1103/physrevd.65.074505

Cited by 16 publications

(2 citation statements)

References 33 publications

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“…The property would suggest that the critical point depends only on the ratio of the lattice spacing, namely the hierarchy of UV cutoff between fourth and fifth dimensions. We expect that the layered structure is valid in PHASE (II) [17,20,22] Finally, we obtain the phase diagram for the five-dimensional pure SU(3) lattice gauge theory on β 4 -β 5 plane. On the diagonal line (β 4 = β 5 ), there are only PHASE (I) and (IV), and the phase transition is the bulk one.…”

Section: Phase Structure Of the Anisotropic Lattice Extentmentioning

confidence: 90%

“…Another way to avoid the bulk phase transition is the introduction of the anisotropy into the lattice spacings [13]. There are several works on the anisotropic pure SU(2) lattice gauge theory [13]- [20]. The region, where the hysteresis disappears, exists in both large and small γ regions.…”

Section: Phase Structure Of the Isotropic Su(3) Lattice Gauge Theory ...mentioning

confidence: 99%

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Phase structure of pure SU(3) lattice gauge theory in 5 dimensions

Itou,

Kashiwa,

Nakamoto

2014

Preprint

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We investigate the nonperturbative phase structure of five-dimensional SU(3) pure Yang-Mills theory on the lattice. We perform numerical simulations using the Wilson plaquette gauge action on an anisotropic lattice with a four-dimensional lattice spacing (a 4 ) and with an independent value in the fifth dimension (a 5 ). We investigate both cases of a 4 > a 5 and a 4 < a 5 . The Polyakov loops in the fourth and the fifth directions are observed, and we find that there are four possible phases for the anisotropic five-dimensional quenched QCD theory on the lattice. We determine the critical values of the lattice bare coupling and the anisotropy parameter for each phase transition. Furthermore, we find that the two center domains where the Polyakov loop have locally different charges of the center symmetry appears in single configuration in the specific region of the lattice parameters.

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Section: Phase Structure Of the Anisotropic Lattice Extentmentioning

confidence: 90%

Section: Phase Structure Of the Isotropic Su(3) Lattice Gauge Theory ...mentioning

confidence: 99%

Phase structure of pure SU(3) lattice gauge theory in 5 dimensions

Itou,

Kashiwa,

Nakamoto

2014

Preprint

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Mean-field gauge interactions in five dimensions I. The torus

Irges

Knechtli

2009

Nuclear Physics B

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We consider the lattice regularization of a five dimensional SU(2) gauge theory with periodic boundary conditions. We determine a consistent mean-field background and perform computations of various observables originating from fluctuations around this background. Our aim is to extract the properties of the system in regimes of its phase diagram where it seems to be in a dimensionally reduced state. Within the mean-field theory we establish the existence of a second order phase transition at finite value of the gauge coupling for anisotropy parameter less than one, where there is evidence for dimensional reduction.− ǫ ABC v B (n, M) ω A (n +M ) + ω A (n) (3.8)

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

Farakos

Vrentzos

2012

Nuclear Physics B

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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. *

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Phase diagram for the anisotropic SU(2) adjoint Higgs model in 5D: Lattice evidence for layered structure

Cited by 16 publications

References 33 publications

Phase structure of pure SU(3) lattice gauge theory in 5 dimensions

Phase structure of pure SU(3) lattice gauge theory in 5 dimensions

Mean-field gauge interactions in five dimensions I. The torus

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

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