Bound states of dimensionally reduced SYM2+1 at finite N

Antonuccio, F.; Lunin, Oleg; Pinsky, Stephen S.

doi:10.1016/s0370-2693(98)00432-8

Cited by 33 publications

(54 citation statements)

References 10 publications

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“…In Fig. 1(a) we see the spectrum of two-dimensional SYM as a function of the inverse of the resolution 1/K from earlier work [22,23]. Also shown are two fits to the lowest mass state at each resolution which show that the accumulation point is consistent with zero.…”

Section: Limiting Casesmentioning

confidence: 84%

“…These will provide convenient points of reference when we discuss the full theory. Let us start with dimensionally reduced SYM theory [22,23], for which…”

Section: Limiting Casesmentioning

confidence: 99%

“…This is particularly interesting here because reduced N = 1 SYM theories are very stringy. The low-mass states are dominated by Fock states with many constituents, and as the size of the superalgebraic representation is increased, states with lower masses and more constituents appear [7,8,12,14,15,16,17,18,19,20,21,22,23]. The connection between string theory and supersymmetric gauge theory leads one to expect this type of behavior; however, these gauge theories are not very QCD-like.…”

Section: Introductionmentioning

confidence: 99%

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Properties of the bound states of super Yang-Mills–Chern-Simons theory

2002

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We apply supersymmetric discrete light-cone quantization (SDLCQ) to the study of supersymmetric Yang-Mills-Chern-Simons (SYM-CS) theory on R × S 1 × S 1 . One of the compact directions is chosen to be light-like and the other 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. The Chern-Simons term is introduced here to provide masses for the particles while remaining totally within a supersymmetric context. We examine the free, weak and strongcoupling spectrum. The transverse direction is discussed as a model for universal extra dimensions in the gauge sector. The wave functions are used to calculate the structure functions of the lowest mass states. We discuss the properties of Kaluza-Klein states and focus on how they appear at strong coupling. We also discuss a set of anomalously light states which are reflections of the exact Bogomol'nyi-Prasad-Sommerfield states of the underlying SYM theory.

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Section: Limiting Casesmentioning

confidence: 84%

“…These will provide convenient points of reference when we discuss the full theory. Let us start with dimensionally reduced SYM theory [22,23], for which…”

Section: Limiting Casesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Properties of the bound states of super Yang-Mills–Chern-Simons theory

2002

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“…The simplest of these is N = (1, 1) supersymmetric Yang-Mills (SYM) theory in 1 + 1 dimensions with a large number of colors, N c . We have investigated this theory previously [4,5] but have not studied its properties in detail at high resolution. This is the purpose of the present paper.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional super Yang-Mills theory investigated with improved resolution

et al. 2005

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In earlier work, N = (1, 1) super Yang-Mills theory in two dimensions was found to have several interesting properties, though these properties could not be investigated in any detail. In this paper we analyze two of these properties. First, we investigate the spectrum of the theory. We calculate the masses of the low-lying states using the supersymmetric discrete light-cone (SDLCQ) approximation and obtain their continuum values. The spectrum exhibits an interesting distribution of masses, which we discuss along with a toy model for this pattern. We also discuss how the average number of partons grows in the bound states. Second, we determine the number of fermions and bosons in the N = (1, 1) and N = (2, 2) theories in each symmetry sector as a function of the resolution. Our finding that the numbers of fermions and bosons in each sector are the same is part of the answer to the question of why the SDLCQ approximation exactly preserves supersymmetry.

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“…FIG. 16. The free energy as a function of the coupling g at temperature T 0:1 (with 1) and for resolutions K 12 (crosses), 13 (boxes), 14 (triangles) with two different vertical scales.…”

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confidence: 99%

Spectrum and thermodynamic properties of two-dimensionalN=(1,1)super Yang-Mills theory with fundamental matter and a Chern-Simons term

et al. 2007

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We consider N 1; 1 super Yang-Mills theory in 1 1 dimensions with fundamentals at large N c . A Chern-Simons term is included to give mass to the adjoint partons. Using the spectrum of the theory, we calculate thermodynamic properties of the system as a function of the temperature and the Yang-Mills coupling. In the large-N c limit there are two noncommunicating sectors, the glueball sector, which we presented previously, and the mesonlike sector that we present here. We find that the mesonlike sector dominates the thermodynamics. Like the glueball sector, the meson sector has a Hagedorn temperature T H , and we show that the Hagedorn temperature grows with the coupling. We calculate the temperature and coupling dependence of the free energy for temperatures below T H . As expected, the free energy for weak coupling and low temperature grows quadratically with the temperature. Also the ratio of the free energies at strong coupling compared to weak coupling, r sÿw , for low temperatures grows quadratically with T. In addition, our data suggest that r sÿw tends to zero in the continuum limit at low temperatures.

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Bound states of dimensionally reduced SYM2+1 at finite N

Cited by 33 publications

References 10 publications

Properties of the bound states of super Yang-Mills–Chern-Simons theory

Properties of the bound states of super Yang-Mills–Chern-Simons theory

Two-dimensional super Yang-Mills theory investigated with improved resolution

Spectrum and thermodynamic properties of two-dimensionalN=(1,1)super Yang-Mills theory with fundamental matter and a Chern-Simons term

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