Properties of the linearised functional renormalization group
| Title: | Properties of the linearised functional renormalization group |
|---|---|
| Authors: | Morris, Tim R. |
| Publication Year: | 2022 |
| Collection: | Mathematics Condensed Matter General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| Subject Terms: | High Energy Physics - Theory, Condensed Matter - Statistical Mechanics, General Relativity and Quantum Cosmology, Mathematical Physics |
| More Details: | Interactions growing slower than a certain exponential of the square of a scalar field, are well behaved when evolved under the functional renormalization group linearised around the Gaussian fixed point. They satisfy properties usually taken for granted, and reproduce standard perturbative quantisation. However, ever more challenging effects appear the more interactions grow faster than this. We show explicitly that firstly the flow no longer splits uniquely into operators of definite scaling dimension; then (linearised) flows to the infrared can end prematurely in a singularity; and finally new interactions can spontaneously appear at any scale. Comment: 19 pages |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2203.01195 |
| Accession Number: | edsarx.2203.01195 |
| Database: | arXiv |
| Description not available. |