TY - JOUR

T1 - Mass spectrum of supersymmetric Yang-Mills theory in three dimensions

AU - Haney, Paul

AU - Hiller, John R.

AU - Lunin, Oleg

AU - Pinsky, Stephen

AU - Trittmann, Uwe

PY - 2000

Y1 - 2000

N2 - We consider supersymmetric Yang-Mills theory on RxS1xS1. In particular, we choose one of the compact directions to be light like and another to be space like. Since the SDLCQ regularization explicitly preserves supersymmetry, this theory is totally finite, and thus we can solve for bound state wave functions and masses numerically without renormalizing. We present the masses as functions of the longitudinal and transverse resolutions and show that the masses converge rapidly in both resolutions. We also study the behavior of the spectrum as a function of the coupling and find that at strong coupling there is a stable, well-defined spectrum which we present. We also find several unphysical states that decouple at large transverse resolution. There are two sets of massless states; one set is massless only at zero coupling and the other is massless at all couplings. Together these sets of massless states are in one-to-one correspondence with the full spectrum of the dimensionally reduced theory.

AB - We consider supersymmetric Yang-Mills theory on RxS1xS1. In particular, we choose one of the compact directions to be light like and another to be space like. Since the SDLCQ regularization explicitly preserves supersymmetry, this theory is totally finite, and thus we can solve for bound state wave functions and masses numerically without renormalizing. We present the masses as functions of the longitudinal and transverse resolutions and show that the masses converge rapidly in both resolutions. We also study the behavior of the spectrum as a function of the coupling and find that at strong coupling there is a stable, well-defined spectrum which we present. We also find several unphysical states that decouple at large transverse resolution. There are two sets of massless states; one set is massless only at zero coupling and the other is massless at all couplings. Together these sets of massless states are in one-to-one correspondence with the full spectrum of the dimensionally reduced theory.

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U2 - 10.1103/PhysRevD.62.075002

DO - 10.1103/PhysRevD.62.075002

M3 - Article

AN - SCOPUS:85037180730

SN - 0556-2821

VL - 62

SP - 1

EP - 9

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 7

M1 - 075002

ER -