Lattice Landau gauge photon propagator for 4D compact QED

Loveridge, Lee C.; Oliveira, Orlando; Silva, Paulo

doi:10.1103/physrevd.103.094519

Cited by 11 publications

(25 citation statements)

References 56 publications

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“…in the propagators and vertices of the theory. Indeed, the computation of the photon propagator in the Landau gauge for pure gauge lattice compact QED at low β and at high β illustrates those differences [9,13,17,47]. For the confined low β phase, the photon propagator seems to be described by a Yukawa-type of propagator.…”

Section: Introductionmentioning

confidence: 94%

“…These classical configurations are absent in the deconfined phase but are observed in the confined phase [18][19][20][21][22]. Furthermore, in four dimensions, the confined phase has a mass gap [13]. In the strong coupling limit compact QED has a mechanism that generates a photon mass gap 1 and the theory is confining.…”

Section: Introductionmentioning

confidence: 99%

“…For β 1, i.e. in the weak coupling limit, the static potential becomes essentially constant at large distance separations, the theory is no longer confining, and the results of the lattice formulation of QED approach those of the perturbative solution of the continuum theory after taking the thermodynamic limit [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

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Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings

Loveridge,

Oliveira,

Silva

2021

Preprint

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Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings

Loveridge,

Oliveira,

Silva

2021

Preprint

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“…This suggests a first order transition between the confined and deconfined phases near 𝛽 = 1.0 with the sharpest change at 𝛽 = 1.0125. More details can be found in [1] [2] and references therein.…”

Section: Causes and Nature Of The Transitionmentioning

confidence: 99%

“…The first major question is why we should study 𝑈 (1) or QED on the lattice. After all, QED is fairly well understood in the free theory limit and interactions can be described well with perturbation theory.…”

Section: Introductionmentioning

confidence: 99%

Confinement/Deconfinement in 4D compact QED on the lattice

Loveridge¹,

Oliveira²,

Silva³

2021

Preprint

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It has long been known that there is a phase transition between confined and unconfined phases of compact pure gauge QED on the lattice. In this work we report three manifestations of this phase change as seen in the Landau gauge photon propagator, the static potential, and distribution of Dirac Strings in the gauge fixed configurations. Each of these was calculated with large lattices with volumes: 32 4 , 48 4 and 96 4 . We show that the confined phase manifests with a Yukawa type propagator with a dynamically generated mass gap, a linearly increasing potential, and a significant concentration of Dirac strings while the unconfined phase appears consistent with the continuum results: a free propagator, a near constant long-distance potential, and a small concentration of Dirac strings trending towards zero. Furthermore, the photon propagator is investigated in detail near the transition between the two phases.

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Looking at QED with Dyson–Schwinger Equations: Basic Equations, Ward–Takahashi Identities and the Two-Photon-Two-Fermion Irreducible Vertex

2023

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A minimal truncated set of the integral Dyson–Schwinger equations, in Minkowski spacetime, that allows to explore QED beyond its perturbative solution is derived for general linear covariant gauges. The minimal set includes the equations for the fermion and photon propagators, the photon-fermion vertex, and the two-photon-two-fermion one-particle-irreducible diagram. If the first three equations are exact, to build a closed set of equations, the two-photon-two-fermion equation is truncated ignoring the contribution of Green functions with large number of external legs. It is shown that the truncated equation for the two-photon-two-fermion vertex reproduces the lowest-order perturbative result in the limit of the small coupling constant. Furthermore, this equation allows to define an iterative procedure to compute higher order corrections in the coupling constant. The Ward–Takahashi identity for the two-photon-two-fermion irreducible vertex is derived and solved in the soft photon limit, where one of the photon momenta vanish, in the low photon momenta limit and for general kinematics. The solution of the Ward–Takahashi identity determines the longitudinal component of the two-photon-two-fermion irreducible vertex, while it is proposed to use the Dyson–Schwinger equation to determine the transverse part of this irreducible diagram. The two-photon-two-fermion DSE is solved in heavy fermion limit, considering a simplified version of the QED vertices. The contribution of this irreducible vertex to a low-energy effective photon-fermion vertex is discussed and the fermionic operators that are generated are computed in terms of the fermion propagator functions.

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Lattice Landau gauge photon propagator for 4D compact QED

Cited by 11 publications

References 56 publications

Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings

Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings

Confinement/Deconfinement in 4D compact QED on the lattice

Looking at QED with Dyson–Schwinger Equations: Basic Equations, Ward–Takahashi Identities and the Two-Photon-Two-Fermion Irreducible Vertex

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