Journal of High Energy Physics

, 2011:60 | Cite as

Nonperturbative studies of supersymmetric matrix quantum mechanics with 4 and 8 supercharges at finite temperature

  • Masanori Hanada
  • So Matsuura
  • Jun Nishimura
  • Daniel Robles-Llana
Article

Abstract

We investigate thermodynamic properties of one-dimensional U(N) supersymmetric gauge theories with 4 and 8 supercharges in the planar large-N limit by Monte Carlo calculations. Unlike the 16 supercharge case, the threshold bound state with zero energy is widely believed not to exist in these models. This led A.V.Smilga to conjecture that the internal energy decreases exponentially at low temperature instead of decreasing with a power law. In the 16 supercharge case, the latter behavior was predicted from the dual black 0-brane geometry and confirmed recently by Monte Carlo calculations. Our results for the models with 4 and 8 supercharges indeed support the exponential behavior, revealing a qualitative difference from the 16 supercharge case.

Keywords

Supersymmetric gauge theory Field Theories in Lower Dimensions Nonperturbative Effects 

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Copyright information

© SISSA, Trieste, Italy 2011

Authors and Affiliations

  • Masanori Hanada
    • 1
    • 2
  • So Matsuura
    • 3
  • Jun Nishimura
    • 4
    • 5
  • Daniel Robles-Llana
    • 1
  1. 1.Department of Particle Physics and AstrophysicsWeizmann Institute of ScienceRehovotIsrael
  2. 2.Department of PhysicsUniversity of WashingtonSeattleU.S.A.
  3. 3.Department of Physics, and Research and Education Center for Natural ScienceKeio UniversityYokohamaJapan
  4. 4.KEK Theory CenterHigh Energy Accelerator Research Organization (KEK)Tsukuba, IbarakiJapan
  5. 5.Department of Particle and Nuclear Physics, School of High Energy Accelerator ScienceGraduate University for Advanced Studies (SOKENDAI)Tsukuba, Ibaraki305-0801Japan

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