Renormalization of Galilean electrodynamics
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Publication:2657820
DOI10.1007/JHEP10(2020)195zbMATH Open1456.81310arXiv2007.03033MaRDI QIDQ2657820
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Publication date: 14 March 2021
Published in: (Search for Journal in Brave)
Abstract: We study the quantum properties of a Galilean-invariant abelian gauge theory coupled to a Schr"odinger scalar in 2+1 dimensions. At the classical level, the theory with minimal coupling is obtained from a null-reduction of relativistic Maxwell theory coupled to a complex scalar field in 3+1 dimensions and is closely related to the Galilean electromagnetism of Le-Bellac and L'evy-Leblond. Due to the presence of a dimensionless, gauge-invariant scalar field in the Galilean multiplet of the gauge-field, we find that at the quantum level an infinite number of couplings is generated. We explain how to handle the quantum corrections systematically using the background field method. Due to a non-renormalization theorem, the beta function of the gauge coupling is found to vanish to all orders in perturbation theory, leading to a continuous family of fixed points where the non-relativistic conformal symmetry is preserved.
Full work available at URL: https://arxiv.org/abs/2007.03033
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