%0 Journal Article %1 Chapman2020 %A Chapman, Shira %A Di Pietro, Lorenzo %A Grosvenor, Kevin T. %A Yan, Ziqi %D 2020 %J J. High Energy Phys. %K a %N 10 %P 195 %R 10.1007/JHEP10(2020)195 %T Renormalization of Galilean electrodynamics %U https://doi.org/10.1007/JHEP10(2020)195 %V 2020 %X We study the quantum properties of a Galilean-invariant abelian gauge theory coupled to a Schrödinger 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 Lévy-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.

@article{Chapman2020, abstract = {We study the quantum properties of a Galilean-invariant abelian gauge theory coupled to a Schr{\"o}dinger 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{\'e}vy-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.}, added-at = {2023-11-13T12:20:48.000+0100}, author = {Chapman, Shira and Di Pietro, Lorenzo and Grosvenor, Kevin T. and Yan, Ziqi}, biburl = {https://www.bibsonomy.org/bibtex/24c360dcb284d22bad246feafcf218ad6/ctqmat}, day = 29, description = {Renormalization of Galilean electrodynamics | Journal of High Energy Physics}, doi = {10.1007/JHEP10(2020)195}, interhash = {14f15bf8f6170f97c43c2a9ec61f7a20}, intrahash = {4c360dcb284d22bad246feafcf218ad6}, issn = {1029-8479}, journal = {J. High Energy Phys.}, keywords = {a}, month = {10}, number = 10, pages = 195, timestamp = {2023-11-24T11:54:09.000+0100}, title = {Renormalization of Galilean electrodynamics}, url = {https://doi.org/10.1007/JHEP10(2020)195}, volume = 2020, year = 2020 }