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Renormalization of gauge theories in the background-field approach

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Renormalization of gauge theories in the background-field approach. / Barvinsky, Andrei O.; Blas, Diego; Herrero-Valea, Mario; Sibiryakov, Sergey M.; Steinwachs, Christian F.

In: Journal of High Energy Physics, Vol. 2018, 05.07.2018, p. 35.

Research output: Contribution to journalArticlepeer-review

Harvard

Barvinsky, AO, Blas, D, Herrero-Valea, M, Sibiryakov, SM & Steinwachs, CF 2018, 'Renormalization of gauge theories in the background-field approach', Journal of High Energy Physics, vol. 2018, pp. 35. https://doi.org/10.1007/JHEP07(2018)035

APA

Barvinsky, A. O., Blas, D., Herrero-Valea, M., Sibiryakov, S. M., & Steinwachs, C. F. (2018). Renormalization of gauge theories in the background-field approach. Journal of High Energy Physics, 2018, 35. https://doi.org/10.1007/JHEP07(2018)035

Vancouver

Barvinsky AO, Blas D, Herrero-Valea M, Sibiryakov SM, Steinwachs CF. Renormalization of gauge theories in the background-field approach. Journal of High Energy Physics. 2018 Jul 5;2018:35. https://doi.org/10.1007/JHEP07(2018)035

Author

Barvinsky, Andrei O. ; Blas, Diego ; Herrero-Valea, Mario ; Sibiryakov, Sergey M. ; Steinwachs, Christian F. / Renormalization of gauge theories in the background-field approach. In: Journal of High Energy Physics. 2018 ; Vol. 2018. pp. 35.

Bibtex Download

@article{531513fa801d48dc9ce54aecae2f4203,
title = "Renormalization of gauge theories in the background-field approach",
abstract = "Using the background-field method we demonstrate the Becchi-Rouet-Stora-Tyutin (BRST) structure of counterterms in a broad class of gauge theories. Put simply, we show that gauge invariance is preserved by renormalization in local gauge field theories whenever they admit a sensible background-field formulation and anomaly-free path integral measure. This class encompasses Yang-Mills theories (with possibly Abelian subgroups) and relativistic gravity, including both renormalizable and non-renormalizable (effective) theories. Our results also hold for non-relativistic models such as Yang-Mills theories with anisotropic scaling or Ho{\v r}ava gravity. They strengthen and generalize the existing results in the literature concerning the renormalization of gauge systems. Locality of the BRST construction is emphasized throughout the derivation. We illustrate our general approach with several explicit examples.",
keywords = "BRST Quantization, Effective Field Theories, Gauge Symmetry, Models of Quantum Gravity, High Energy Physics - Theory, General Relativity and Quantum Cosmology",
author = "Barvinsky, {Andrei O.} and Diego Blas and Mario Herrero-Valea and Sibiryakov, {Sergey M.} and Steinwachs, {Christian F.}",
year = "2018",
month = jul,
day = "5",
doi = "10.1007/JHEP07(2018)035",
language = "English",
volume = "2018",
pages = "35",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "IOP Publishing",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - Renormalization of gauge theories in the background-field approach

AU - Barvinsky, Andrei O.

AU - Blas, Diego

AU - Herrero-Valea, Mario

AU - Sibiryakov, Sergey M.

AU - Steinwachs, Christian F.

PY - 2018/7/5

Y1 - 2018/7/5

N2 - Using the background-field method we demonstrate the Becchi-Rouet-Stora-Tyutin (BRST) structure of counterterms in a broad class of gauge theories. Put simply, we show that gauge invariance is preserved by renormalization in local gauge field theories whenever they admit a sensible background-field formulation and anomaly-free path integral measure. This class encompasses Yang-Mills theories (with possibly Abelian subgroups) and relativistic gravity, including both renormalizable and non-renormalizable (effective) theories. Our results also hold for non-relativistic models such as Yang-Mills theories with anisotropic scaling or Hořava gravity. They strengthen and generalize the existing results in the literature concerning the renormalization of gauge systems. Locality of the BRST construction is emphasized throughout the derivation. We illustrate our general approach with several explicit examples.

AB - Using the background-field method we demonstrate the Becchi-Rouet-Stora-Tyutin (BRST) structure of counterterms in a broad class of gauge theories. Put simply, we show that gauge invariance is preserved by renormalization in local gauge field theories whenever they admit a sensible background-field formulation and anomaly-free path integral measure. This class encompasses Yang-Mills theories (with possibly Abelian subgroups) and relativistic gravity, including both renormalizable and non-renormalizable (effective) theories. Our results also hold for non-relativistic models such as Yang-Mills theories with anisotropic scaling or Hořava gravity. They strengthen and generalize the existing results in the literature concerning the renormalization of gauge systems. Locality of the BRST construction is emphasized throughout the derivation. We illustrate our general approach with several explicit examples.

KW - BRST Quantization, Effective Field Theories, Gauge Symmetry, Models of Quantum Gravity, High Energy Physics - Theory, General Relativity and Quantum Cosmology

U2 - 10.1007/JHEP07(2018)035

DO - 10.1007/JHEP07(2018)035

M3 - Article

VL - 2018

SP - 35

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

ER -

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