Research output: Contribution to journal › Article › peer-review

Journal | Communications in Mathematical Physics |
---|---|

Date | Published - Feb 2010 |

Issue number | 1 |

Volume | 294 |

Number of pages | 40 |

Pages (from-to) | 21-60 |

Original language | English |

Quantum field theories, at short scales, can be approximated by a scaling limit theory. In this approximation, an additional symmetry is gained, namely dilation covariance. To understand the structure of this dilation symmetry, we investigate it in a nonperturbative, model independent context. To that end, it turns out to be necessary to consider non-pure vacuum states in the limit. These can be decomposed into an integral of pure states; we investigate how the symmetries and observables of the theory behave under this decomposition. In particular, we consider several natural conditions of increasing strength that yield restrictions on the decomposed dilation symmetry.

## Mini-Workshop "Noncommutative Geometry and Quantum Field Theory"

Activity: Participating in or organising an event › Seminar/workshop/course

## Talk "Scaling limits and dilation symmetries in Quantum Field Theory"

Activity: Talk or presentation › Invited talk

## Talk "Scaling algebras and pointlike fields"

Activity: Talk or presentation › Workshop

## Talk "The structure of dilation symmetries in the scaling limit of a quantum field theory"

Activity: Talk or presentation › Invited talk

## On the short-distance scaling limit in quantum ﬁeld theory

Activity: Talk or presentation › Invited talk

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