The glue-ball spectrum of pure percolation

Lottini, Stefano; Gliozzi, F.

doi:10.22323/1.020.0292

Cited by 3 publications

(4 citation statements)

References 6 publications

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“…where we have kept terms proportional to powers of µ in an implicit form, and defined similar averages as in previous cases. We define 24 , and use the explicit values for ε o n,1 , ε o n,2 , and get…”

Section: Neumann Boundary Conditionsmentioning

confidence: 99%

“…The Laplacian operator (∂ 2 ) exactly cancels the denominator in the propagator (C.6), and in the case when σ = σ ′ this contribution is then proportional to ∞ m=−∞ m k , and thus identically vanishes as well, under our regularization (see (B.2)). For the Neumann case (C.8), the additional contribution m =0 m k also vanishes, except when k = 0, and then it equals 1, but the case of k = 0 never appears24 . This formal identity, ∂ 2 ≡ 0, holds also on the boundary.E.…”

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confidence: 98%

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On the effective theory of long open strings

Aharony

Field

2011

J. High Energ. Phys.

133

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We study the general low-energy effective action on long open strings, such as confining strings in pure gauge theories. Using Lorentz invariance, we find that for a string of length R, the leading deviation from the Nambu-Goto energy levels generically occurs at order 1/R^4 (including a correction to the ground state energy), as opposed to 1/R^5 for excited closed strings in four dimensions, and 1/R^7 for closed strings in three dimensions. This is true both for Dirichlet and for Neumann boundary conditions for the transverse directions, though the worldsheet boundary actions are different. The Dirichlet case is relevant (for instance) for the force between external quarks in a confining gauge theory, and the Neumann case for a string stretched between domain walls. In the specific case of confining gauge theories with a weakly curved holographic dual, we compute the coefficient of the leading correction when the open string ends on two D-branes, and find a non-vanishing result.Comment: 51 pages, JHEP format. v2: added reference

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Section: Neumann Boundary Conditionsmentioning

confidence: 99%

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confidence: 98%

On the effective theory of long open strings

Aharony

Field

2011

J. High Energ. Phys.

133

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“…The string tension σ and the other physical observables have the expected scaling behaviour dictated by the universality class of three-dimensional percolation, therefore such a theory has a well-defined continuum limit [30]. Moreover it has a non-trivial glueball spectrum [31] and a second-order deconfining transition at finite temperature T c with a ratio T c / √ σ ≃ 1.5 which turns out to be universal, i.e. it does not depend on the kind of lattice utilised nor on the specific percolation process considered (bond or site percolation).…”

Section: The Modelmentioning

confidence: 99%

The confining string beyond the free-string approximation in the gauge dual of percolation

Giudice¹,

Gliozzi²,

Lottini³

2009

J. High Energy Phys.

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We simulate five different systems belonging to the universality class of the gauge dual of three-dimensional random percolation to study the underlying effective string theory at finite temperature. All the data for the finite temperature string tension, when expressed by means of adimensional variables, are nicely described by a unique scaling function. We calculate the first few terms of the string tension up to order T 6 and compare to different theoretical predictions. We obtain unambiguous evidence that the coefficients of T 2 and T 4 terms coincide with those of the Nambu-Goto string, as expected, while the T 6 term strongly differs and is characteristic of the universality class of this specific gauge theory.

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“…The gauge theory dual to Q = 1 Potts model, corresponding to random percolation, has been studied in detail in [9]. In particular it has been shown that, although the gauge group is trivial, it behaves like a full-fledged gauge theory with a confining vacuum (corresponding to the percolating phase), a string tension having a well-behaved continuum limit, a non trivial glueball spectrum [10] and a deconfinement transition at a well determined temperature. In this talk I describe some new features of this kind of gauge models in the range 0 < Q < 1.…”

Section: Pos(lattice 2007)304mentioning

confidence: 99%