Title

Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow
Richard Galvez, Syracuse University
Mithat Unsal, Stanford University

Document Type

Article

Date

6-12-2010

Language

English

Disciplines

Physics

Description/Abstract

We report on the results of numerical simulations of SU(N) lattice Yang Mills with two flavors of (light) Wilson fermion in the adjoint representation. We analytically and numerically address the question of center symmetry realization on lattices with \Gamma sites in each direction in the large-N limit. We show, by a weak coupling calculation that, for massless fermions, center symmetry realization is independent of \Gamma, and is unbroken. Then, we extend our result by conducting simulations at non zero mass and finite gauge coupling. Our results indicate that center symmetry is intact for a range of fermion mass in the vicinity of the critical line on lattices of volume 2^4. This observation makes it possible to compute infinite volume physical observables using small volume simulations in the limit N\to\infty, with possible applications to the determination of the conformal window in gauge theories with adjoint fermions.

Additional Information

15 pages, 9 figures More information at http://arxiv.org/abs/1006.2469

Recommended Citation

Catterall, Simon; Galvez, Richard; and Unsal, Mithat, "Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills" (2010). Physics - All Scholarship. 434.
https://surface.syr.edu/phy/434

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.