Four-dimensional N=1 super Yang-Mills theory from a matrix model

Journal Article · Tue Dec 15 00:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.125001· OSTI ID:21316552

Hanada, Masanori; Mannelli, Lorenzo ^[1]; Matsuo, Yoshinori ^[2]

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1. Department of Particle Physics, Weizmann Institute of Science, Rehovot 76100 (Israel)
2. Asia Pacific Center for Theoretical Physics, Pohang, Gyeongbuk 790-784 (Korea, Republic of)

We consider a supersymmetric matrix quantum mechanics. This is obtained by adding Myers and mass terms to the dimensional reduction of 4D N=1 super Yang-Mills theory to one dimension. Using this model we construct 4D N=1 super Yang-Mills theory in the planar limit by using the Eguchi-Kawai equivalence. This regularization turns out to be free from the sign problem at the regularized level. The same matrix quantum mechanics is also used to provide a nonperturbative formulation of 4D N=1 super Yang-Mills theory on a noncommutative space.

• OSTI ID: 21316552
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 12; Other Information: DOI: 10.1103/PhysRevD.80.125001; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMMUTATION RELATIONS
COMPUTERIZED SIMULATION
FOUR-DIMENSIONAL CALCULATIONS
MASS
QUANTUM MECHANICS
SPACE
SUPERSYMMETRY
YANG-MILLS THEORY