Large-N reduction in QCD-like theories with massive adjoint fermions
Volume
82
Pagination
125013 - ?
Publisher
DOI
10.1103/physrevd.82.125013
Journal
Physical Review D
Issue
ISSN
2470-0010
Metadata
Show full item recordAbstract
Large-𝑁 QCD with heavy adjoint fermions emulates pure Yang-Mills theory at long distances. We study this theory on a four- and three-torus, and analytically argue the existence of a large-small volume equivalence. For any finite mass, the center-symmetry unbroken phase exists at sufficiently small volume and this phase can be used to study the large volume limit through the Eguchi-Kawai equivalence. A finite-temperature version of volume independence implies that thermodynamics on β3 ×𝑆1 can be studied via a unitary matrix quantum mechanics on 𝑆1, by varying the temperature. To confirm this nonperturbatively, we numerically study both zero- and one-dimensional theories by using Monte Carlo simulation. The order of finite-𝑁 corrections turns out to be 1/𝑁. We introduce various twisted versions of the reduced QCD which systematically suppress finite-𝑁 corrections. Using a twisted model, we observe the confinement/deconfinement transition on a 13 ×2 lattice. The result agrees with large volume simulations of Yang-Mills theory. We also comment that the twisted model can serve as a nonperturbative formulation of the noncommutative Yang-Mills theory.
Authors
Azeyanagi, T; Hanada, M; Ünsal, M; Yacoby, RCollections
- Mathematics [1686]