SDLCQ supersymmetric discrete light cone quantization

Lunin, Oleg; Pinsky, Stephen S.

doi:10.1063/1.1301663

Cited by 38 publications

(48 citation statements)

References 84 publications

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“…This property is interesting because reduced N = 1 SYM theories are very stringy theories. 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 [1,2,9,11,12,13,14,15,16,17,18,19,20]. The connection between string theory and supersymmetric gauge theory leads one to expect this type of behavior.…”

Section: Introductionmentioning

confidence: 99%

Anomalously light states in super-Yang–Mills–Chern–Simons theory

2002

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Inspired by our previous finding that supersymmetric Yang-Mills-ChernSimons (SYM-CS) theory dimensionally reduced to 1+1 dimensions possesses approximate Bogomol'nyi-Prasad-Sommerfield (BPS) states, we study the analogous phenomenon in the three-dimensional theory. Approximate BPS states in two dimensions have masses which are nearly independent of the Yang-Mills coupling and proportional to their average number of partons. These states are a reflection of the exactly massless BPS states of the underlying pure SYM theory. In three dimensions we find that this mechanism leads to anomalously light bound states. While the mass scale is still proportional to the average number of partons times the square of the CS coupling, the average number of partons in these bound states changes with the Yang-Mills coupling. Therefore, the masses of these states are not independent of the coupling. Our numerical calculations are done using supersymmetric discrete light-cone quantization (SDLCQ).

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Section: Introductionmentioning

confidence: 99%

Anomalously light states in super-Yang–Mills–Chern–Simons theory

2002

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“…There is a host of results in SDLCQ in two and three dimensions on correlators [1], bound states [2], and other topics, including an overview article, Ref. [3].…”

Section: Introducing the Method: Sdlcqmentioning

confidence: 99%

SYM correlators and the maldacena conjecture

Trittmann¹

2003

Nuclear Physics B - Proceedings Supplements

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We report on progress in evaluating quantum filed theories with supersymmetric discrete light-cone quantization (SDLCQ). We compare the method to lattice gauge theory and point out its relevance for lattice calculations.As an exciting application we present a test of the Maldacena conjecture. We test the conjecture by evaluating the correlator of the stress-energy tensor in the strong coupling field theory and comparing to the string theory prediction of its behavior as a function of the distance. Our numerical results support the Maldacena conjecture and are within 10-15% of the predicted results.

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“…Specifically, we calculate the compositions Thus, taking into account the several types of partons that can form C 5 3 , the total number of states we get for this case is 2 3 3 2 1 48. The total number of states-including the massless ones-as a function of K is thus…”

Section: A Limiting Casesmentioning

confidence: 99%

“…We have discussed the SDLCQ numerical method in a number of other places, and we will not present a detailed discussion of the method here; for a review, see [5]. For those familiar with DLCQ [14,15], it suffices to say that SDLCQ is similar; both impose periodic boundary conditions on a light-cone box x ÿ 2 ÿL; L and have discrete momenta and cutoffs in momentum space.…”

Section: Introductionmentioning

confidence: 99%

“…An analytic calculation of both the strong-and the weak-coupling limit of a field theory is generally not possible, although there have been a number of proposals for methods to obtain solutions of finite-temperature supersymmetric quantum field theories [3]. We will use a numerical approach which is based on supersymmetric discrete light-cone quantization (SDLCQ) [4,5], thereby preserving supersymmetry exactly. Currently, this is the only method available for numerically solving strongly coupled SYM theories.…”

Section: Introductionmentioning

confidence: 99%

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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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SDLCQ supersymmetric discrete light cone quantization

Cited by 38 publications

References 84 publications

Anomalously light states in super-Yang–Mills–Chern–Simons theory

Anomalously light states in super-Yang–Mills–Chern–Simons theory

SYM correlators and the maldacena conjecture

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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