Year: 2023
Type: article
Abstract: Carrollian field theories at the classical level possess an infinite number of space-time symmetries, namely the supertranslations. In this article, we inquire whether these symmetries for interacting Carrollian scalar field theory survive in the presence of quantum effects. For interactions polynomial in the field, the answer is in the affirmative. We also study a renormalization group flow particularly tailored to respect the manifest Carroll invariance and analyze the consequences of introducing Carroll-breaking deformations. The renormalization group flow, with perturbative loop-level effects taken into account, indicates a new fixed point apart from the Gaussian ones.
Institutions: Birla Institute of Technology and Science, Pilani - Goa Campus, Birla Institute of Technology and Science, Pilani, Saha Institute of Nuclear Physics, Homi Bhabha National Institute, Indian Institute of Technology Kanpur, Maxwell Institute for Mathematical Sciences, University of Edinburgh, Asia Pacific Center for Theoretical Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Funders: Royal Society, National Research Foundation, Department of Science and Technology, Ministry of Science and Technology, India, National Research Foundation of Korea, Birla Institute of Technology and Science, Pilani, Ministry of Science and ICT, South Korea, Science and Engineering Research Board
OpenAlex ID: W4388199790