Event calendar file
25-29 November 2013
Hotel Victoria
Mexico/General timezone
Scalar fields in non-commutative spaces
Speakers
- Dr. Wolfgang BIETENHOLZ
Primary authors
- Dr. Wolfgang BIETENHOLZ (ICN, UNAM)
Co-authors
- Mr. Hector MEJIA DIAZ (Instituto de Ciencias Nucleares, UNAM)
Abstract content
We present a non-perturbative study of the lambda phi**4 model in 2- and 3-dimensional non-commutative spaces. The mapping onto a Hermitian matrix model enables the treatment by numerical simulations. A new phase occurs where translation symmetry is spontaneously broken, so that stripe patterns dominate. In d=3 we show that this phase the dispersion relation is deformed in the IR sector, in agreement with the property of UV/IR mixing. In d=2 this "striped phase" also occurs, and we demonstrate that it persists in the simultaneous limit to the continuum and infinite volume ("double scaling limit"). Due to the non-locality of this model, there is no contradiction with the Mermin-Wagner Theorem.
