Loading in 5 sec....

Fermions in odd dimensionsPowerPoint Presentation

Fermions in odd dimensions

- By
**jess** - Follow User

- 94 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' Fermions in odd dimensions' - jess

**An Image/Link below is provided (as is) to download presentation**

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

### Fermions in odd dimensions

A. Bashir, Ma. de Jesus Anguiano Galicia

Fermions in odd space-time dimensions: back to basics

Few-Body Systems 0, 1–8 (2008),hep-ph/0502089v1

C. Burden, A. N. Burkitt

Lattice Fermions in Odd Dimensions

Europhys. Lett., 3 (5), pp. 545-552 (1987)

W. Bietenholz, J, Nishimura

Ginsparg-Wilson fermions in odd dimensions

JHEP07(2001)015, hep-lat/0012020v2

Y. Kikukawa, H. Neuberger

Overlap in odd dimensions

Nucl. Phys. B, 513-3 (1998) 735, hep-lat/9707016v1

In odd dimensions the Clifford algebra does not admit a , so chiral symmetry cannot be defined

Two inequivalent representation of the algebra exist

Parity anomaly

C. Burden, A. N. Burkitt

Lattice Fermions in Odd Dimensions

Europhys. Lett., 3 (5), pp. 545-552 (1987)

Starting from staggered formulation, analogous to the 4d case, shows that its continuum equivalent are flavors of components spinors.

Parity symmetry is recovered by using both representations

A set of chiral symmetries can be defined.

A. Bashir, Ma. de Jesus Anguiano Galicia

Fermions in odd space-time dimensions: back to basics

Few-Body Systems 0, 1–8 (2008), hep-ph/0502089v1

They show that it is possible to write a formulation of odd dimensional fermions using the fundamental representation of the Clifford algebra.

The massless action has more symmetry than the massive case.

“We demonstrate that by taking into account both the inequivalent fundamental representations of the gamma matrices for odd number of space-time dimensions, the resulting Lagrangian is not only parity invariant but also that we can write out chiral transformations within the two-component description of the fermion spinors which mix the fields belonging to the different inequivalent representations.”

Download Presentation

Connecting to Server..