Action principle for OPE
We formulate an “action principle” for the operator product expansion (OPE) describing how a given OPE coefficient changes under a deformation induced by a marginal or relevant operator. Our action principle involves no ad-hoc regulator or renormalization and applies to general (Euclidean) quantum f...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-01-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321317303802 |
| id |
doaj-799d7e5573f840a984bb5286d5979458 |
|---|---|
| record_format |
Article |
| spelling |
doaj-799d7e5573f840a984bb5286d59794582020-11-24T22:17:44ZengElsevierNuclear Physics B0550-32131873-15622018-01-01926C61463810.1016/j.nuclphysb.2017.11.013Action principle for OPEStefan HollandsWe formulate an “action principle” for the operator product expansion (OPE) describing how a given OPE coefficient changes under a deformation induced by a marginal or relevant operator. Our action principle involves no ad-hoc regulator or renormalization and applies to general (Euclidean) quantum field theories. It implies a natural definition of the renormalization group flow for the OPE coefficients and of coupling constants. When applied to the case of conformal theories, the action principle gives a system of coupled dynamical equations for the conformal data. The last result has also recently been derived (without considering tensor structures) independently by Behan (arXiv:1709.03967) using a different argument. Our results were previously announced and outlined at the meetings “In memoriam Rudolf Haag” in September 2016 and the “Wolfhart Zimmermann memorial symposium” in May 2017.http://www.sciencedirect.com/science/article/pii/S0550321317303802 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Stefan Hollands |
| spellingShingle |
Stefan Hollands Action principle for OPE Nuclear Physics B |
| author_facet |
Stefan Hollands |
| author_sort |
Stefan Hollands |
| title |
Action principle for OPE |
| title_short |
Action principle for OPE |
| title_full |
Action principle for OPE |
| title_fullStr |
Action principle for OPE |
| title_full_unstemmed |
Action principle for OPE |
| title_sort |
action principle for ope |
| publisher |
Elsevier |
| series |
Nuclear Physics B |
| issn |
0550-3213 1873-1562 |
| publishDate |
2018-01-01 |
| description |
We formulate an “action principle” for the operator product expansion (OPE) describing how a given OPE coefficient changes under a deformation induced by a marginal or relevant operator. Our action principle involves no ad-hoc regulator or renormalization and applies to general (Euclidean) quantum field theories. It implies a natural definition of the renormalization group flow for the OPE coefficients and of coupling constants. When applied to the case of conformal theories, the action principle gives a system of coupled dynamical equations for the conformal data. The last result has also recently been derived (without considering tensor structures) independently by Behan (arXiv:1709.03967) using a different argument. Our results were previously announced and outlined at the meetings “In memoriam Rudolf Haag” in September 2016 and the “Wolfhart Zimmermann memorial symposium” in May 2017. |
| url |
http://www.sciencedirect.com/science/article/pii/S0550321317303802 |
| work_keys_str_mv |
AT stefanhollands actionprincipleforope |
| _version_ |
1725784754451644416 |