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Fresh look at the Abelian and non-Abelian Landau-Khalatnikov-Fradkin transformations

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Abstract
The Landau-Khalatnikov-Fradkin transformations (LKFTs) allow one to interpolate n-point functions between different gauges. We first offer an alternative derivation of these LKFTs for the gauge and fermions field in the Abelian (QED) case when working in the class of linear covariant gauges. Our derivation is based on the introduction of a gauge invariant transversal gauge field, which allows a natural generalization to the non- Abelian (QCD) case of the LKFTs. To our knowledge, within this rigorous formalism, this is the first construction of the LKFTs beyond QED. The renormalizability of our setup is guaranteed to all orders. We also offer a direct path integral derivation in the non- Abelian case, finding full consistency.
Keywords
HIGGS-KIBBLE MODEL, GAUGE-THEORIES, QUANTUM ELECTRODYNAMICS, INFRARED BEHAVIOR, SYMMETRY-BREAKING, QCD, RENORMALIZATION, COVARIANCE, DEPENDENCE, OPERATOR

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Chicago
De Meerleer, T, David Dudal, SP Sorella, P Dall’Olio, and A Bashir. 2018. “Fresh Look at the Abelian and non-Abelian Landau-Khalatnikov-Fradkin Transformations.” Physical Review D 97 (7).
APA
De Meerleer, T., Dudal, D., Sorella, S., Dall’Olio, P., & Bashir, A. (2018). Fresh look at the Abelian and non-Abelian Landau-Khalatnikov-Fradkin transformations. PHYSICAL REVIEW D, 97(7).
Vancouver
1.
De Meerleer T, Dudal D, Sorella S, Dall’Olio P, Bashir A. Fresh look at the Abelian and non-Abelian Landau-Khalatnikov-Fradkin transformations. PHYSICAL REVIEW D. 2018;97(7).
MLA
De Meerleer, T, David Dudal, SP Sorella, et al. “Fresh Look at the Abelian and non-Abelian Landau-Khalatnikov-Fradkin Transformations.” PHYSICAL REVIEW D 97.7 (2018): n. pag. Print.
@article{8561997,
  abstract     = {The Landau-Khalatnikov-Fradkin transformations (LKFTs) allow one to interpolate n-point functions between different gauges. We first offer an alternative derivation of these LKFTs for the gauge and fermions field in the Abelian (QED) case when working in the class of linear covariant gauges. Our derivation is based on the introduction of a gauge invariant transversal gauge field, which allows a natural generalization to the non- Abelian (QCD) case of the LKFTs. To our knowledge, within this rigorous formalism, this is the first construction of the LKFTs beyond QED. The renormalizability of our setup is guaranteed to all orders. We also offer a direct path integral derivation in the non- Abelian case, finding full consistency.},
  articleno    = {074017},
  author       = {De Meerleer, T and Dudal, David and Sorella, SP and Dall{\textquoteright}Olio, P and Bashir, A},
  issn         = {2470-0010},
  journal      = {PHYSICAL REVIEW D},
  keyword      = {HIGGS-KIBBLE MODEL,GAUGE-THEORIES,QUANTUM ELECTRODYNAMICS,INFRARED BEHAVIOR,SYMMETRY-BREAKING,QCD,RENORMALIZATION,COVARIANCE,DEPENDENCE,OPERATOR},
  language     = {eng},
  number       = {7},
  pages        = {14},
  title        = {Fresh look at the Abelian and non-Abelian Landau-Khalatnikov-Fradkin transformations},
  url          = {http://dx.doi.org/10.1103/physrevd.97.074017},
  volume       = {97},
  year         = {2018},
}

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