A numerical study of confinement in compact QED

Panero, Marco

doi:10.1088/1126-6708/2005/05/066

Cited by 76 publications

(80 citation statements)

References 74 publications

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“…[26,27] for a discussion) and obtain a simple spin model with global Z symmetry and integer-valued s variables, defined on the sites of the dual lattice (note that, in D = 3 + 1 dimensions, the same transformation leads to a model with local Z symmetry [28][29][30][31][32]). More precisely, the duality transformation is an exact map of the original partition function to…”

Section: Duality Transformationmentioning

confidence: 99%

A different kind of string

Caselle

Panero

Pellegrini

et al. 2015

J. High Energ. Phys.

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In U(1) lattice gauge theory in three spacetime dimensions, the problem of confinement can be studied analytically in a semi-classical approach, in terms of a gas of monopoles with Coulomb-like interactions. In addition, this theory can be mapped to a spin model via an exact duality transformation, which allows one to perform highprecision numerical studies of the confining potential. Taking advantage of these properties, we carried out an accurate investigation of the effective string describing the low-energy properties of flux tubes in this confining gauge theory. We found striking deviations from the expected Nambu-Goto-like behavior, and, for the first time, evidence for contributions that can be described by a term proportional to the extrinsic curvature of the effective string worldsheet. Such term is allowed by Lorentz invariance, and its presence in the infrared regime of the U(1) model was indeed predicted by Polyakov several years ago. Our results show that this term scales as expected according to Polyakov's solution, and becomes the dominant contribution to the effective string action in the continuum limit. We also demonstrate analytically that the corrections to the confining potential induced by the extrinsic curvature term can be related to the partition function of the massive perturbation of a c = 1 bosonic conformal field theory. The implications of our results for SU(N ) Yang-Mills theories in three and in four spacetime dimensions are discussed.

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Section: Duality Transformationmentioning

confidence: 99%

A different kind of string

Caselle

Panero

Pellegrini

et al. 2015

J. High Energ. Phys.

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“…[47,48] and references therein, in terms of topologically non-trivial excitations which can be localized in elementary lattice cubes [49] and interpreted as magnetic monopoles. Numerical investigations [50] have revealed that such monopoles are responsible for the phase structure of the theory.…”

Section: Jhep06(2010)050mentioning

confidence: 99%

The phase diagram of Yang-Mills theory with a compact extra dimension

Forcrand

Kurkela

Panero

2010

J. High Energ. Phys.

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We present a non-perturbative study of the phase diagram of SU(2) YangMills theory in a five-dimensional spacetime with a compact extra dimension. The nonrenormalizable theory is regularized on an anisotropic lattice and investigated through numerical simulations in a regime characterized by a hierarchy between the scale of lowenergy physics, the inverse compactification radius, and the cutoff scale. We map out the structure of the phase diagram and the pattern of lines corresponding to fixed values of the ratio between the mass of the fifth component of the gauge field and the non-perturbative mass gap of the four-dimensional modes. We discuss different limits of the model, and comment on the implications of our findings.

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“…These results are displayed in Figure 2 (upper panel). We see the Coulomb potential above the transition, β = 1.05, and the linear rising potential below the phase transition, β = 1.0 (see also [31] for numerical investigations of the confining phase). In the lower panel of Figure 2 we have plotted the behaviour of the determinant det[M (r, t)].…”

Section: Numerical Resultsmentioning

confidence: 86%

Probing the ground state in gauge theories

et al. 2008

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We consider two very different models of the flux tube linking two heavy quarks: a string linking the matter fields and a Coulombic description of two separately gauge invariant charges. We compare how close they are to the unknown true ground state in compact U(1) and the SU(2) Higgs model. Simulations in compact U(1) show that the string description is better in the confined phase but the Coulombic description is best in the deconfined phase; the last result is shown to agree with analytical calculations. Surprisingly in the non-abelian theory the Coulombic description is better in both the Higgs and confined phases. This indicates a significant difference in the width of the flux tubes in the two theories.

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A numerical study of confinement in compact QED

Cited by 76 publications

References 74 publications

A different kind of string

A different kind of string

The phase diagram of Yang-Mills theory with a compact extra dimension

Probing the ground state in gauge theories

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