3-point off-shell vertex in scalar QED in arbitrary gauge and dimension

Bashir, Adnan; Concha‐Sánchez, Y.; Delbourgo, R.

doi:10.1103/physrevd.76.065009

Cited by 25 publications

(44 citation statements)

References 57 publications

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“…For the scalar propagator, Eq. (8.5) is in complete agreement with the results quoted in [12], after taking into account the conventions of momentum flow. The same is true for the scalar-photon 3-point vertex.…”

Section: (89)supporting

confidence: 81%

“…In section VIII, we return to the one-loop propagator and vertex in momentum space, and show how to obtain their form in an arbitrary covariant gauge from the one in Feynman gauge in an efficient way by identifying all difference terms as total derivative terms. We then compare our results with the ones obtained in [12] and observe complete agreement. In section IX, we summarize our results and discuss possible generalizations.…”

supporting

confidence: 68%

“…Here we will, instead, be satisfied with showing that the master formula correctly reproduces those Feynman integrals. This will not only provide us with a check, but also allow us to draw on the results of [12].…”

Section: The One-loop Propagator and Vertex In Feynman Gaugementioning

confidence: 99%

“…The same is true for the scalar-photon 3-point vertex. Notice that in [12], this result is expressed in terms of nine inequivalent vector and tensor integrals which are…”

Section: (89)mentioning

confidence: 99%

“…where we have introduced the constant 12) and the conformal cross ratio r (k,l) π associated to the four endpoints of the lines k and l,…”

Section: Generalization Of the Landau-khalatnikov-fradkin Transfomentioning

confidence: 99%

See 4 more Smart Citations

Multiphoton amplitudes and generalized Landau-Khalatnikov-Fradkin transformation in scalar QED

2016

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We apply the worldline formalism to amplitudes in scalar quantum electrodynamics (QED) involving open scalar lines, with an emphasis on their non-perturbative gauge dependence. At the tree-level, we study the scalar propagator interacting with any number of photons in configuration space as well as in momentum space. At one-loop we rederive, in an efficient way, the off-shell vertex in an arbitrary dimension and any covariant gauge. Generalizing the Landau-Khalatnikov-Fradkin transformation (LKFT) for the non-perturbative propagator, we find simple non-perturbative transformation rules for arbitrary x-space amplitudes under a change of the covariant gauge parameter in terms of conformal cross ratios.

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Section: (89)supporting

confidence: 81%

supporting

confidence: 68%

Section: The One-loop Propagator and Vertex In Feynman Gaugementioning

confidence: 99%

“…The same is true for the scalar-photon 3-point vertex. Notice that in [12], this result is expressed in terms of nine inequivalent vector and tensor integrals which are…”

Section: (89)mentioning

confidence: 99%

“…where we have introduced the constant 12) and the conformal cross ratio r (k,l) π associated to the four endpoints of the lines k and l,…”

Section: Generalization Of the Landau-khalatnikov-fradkin Transfomentioning

confidence: 99%

See 3 more Smart Citations

Multiphoton amplitudes and generalized Landau-Khalatnikov-Fradkin transformation in scalar QED

2016

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Multiphoton Amplitudes and Generalized LKF Transformation in Scalar QED Using the Worldline Formalism

2017

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We apply the worldline formalism to scalar quantum electrodynamics (QED) to find a BernKosower type master formula for generalized Compton scattering, on-shell and off-shell. Moreover, we use it to study the non-perturbative gauge parameter dependence of amplitudes in scalar QED and, as our main result, find a simple non-perturbative transformation rule under changes of this parameter in x-space in terms of conformal cross ratios. This generalizes the well-known Landau-Khalatnikov-Fradkin transformation (LKFT). We also exemplify how the LKFT works in perturbation theory.

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On How the Scalar Propagator Transforms Covariantly in Spinless Quantum Electrodynamics

Villanueva-Sandoval

Concha‐Sánchez

Gutiérrez-Guerrero

et al. 2019

J. Phys.: Conf. Ser.

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Gauge covariance properties of the scalar propagator in spinless/scalar quantum electrodynamics (SQED) are explored in the light of the corresponding Landau-Khalatnikov-Fradkin transformation (LKFT). These transformations are non perturbative in nature and describe how each Green function of the gauge theory changes under a variation of the gauge parameter. With a simple strategy, considering the scalar propagator at the tree level in Landau gauge, we derive a non perturbative expression for this propagator in an arbitrary covariant gauge and three as well as four space-time dimensions. Some relevant kinematical limits are discussed. Particularly, we compare our findings in the weak coupling regime with the direct one-loop calculation of the said propagator and observe perfect agreement up to an expected gauge independent term. We further notice that some of the coefficients of the all-order expansion for the propagator are fixed directly from the LKFT, a fact that makes this set of transformations appealing over ordinary perturbative calculations in gauge theories.

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3-point off-shell vertex in scalar QED in arbitrary gauge and dimension

Cited by 25 publications

References 57 publications

Multiphoton amplitudes and generalized Landau-Khalatnikov-Fradkin transformation in scalar QED

Multiphoton amplitudes and generalized Landau-Khalatnikov-Fradkin transformation in scalar QED

Multiphoton Amplitudes and Generalized LKF Transformation in Scalar QED Using the Worldline Formalism

On How the Scalar Propagator Transforms Covariantly in Spinless Quantum Electrodynamics

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