## Abstract

The phase structure of a supersymmetric, vector O(N) symmetric model at Large N in three dimension is presented. At zero temperature it reveals spontaneous breaking of scale invariance with no explicit breaking. When the attracting force between the massive quanta, bosons and fermions, is tuned to a certain critical value one finds massless bound states, a Goldstone boson and a Goldstone fermion, associated with the spontaneous breaking of scale invariance (massless dilaton and dilatino). The effect of finite temperature on this phenomenon is elucidated. Expectation values of the energy momentum tensor are calculated at zero and finite temperatures. The phase structure is unveiled in the limit N → ∞. We point out that at a certain critical value of the coupling constant the trace of the energy momentum tensor vanishes at all temperatures.

Original language | American English |
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Pages (from-to) | 4475-4483 |

Number of pages | 9 |

Journal | International Journal of Modern Physics A |

Volume | 20 |

Issue number | 19 |

DOIs | |

State | Published - 30 Jul 2005 |

Externally published | Yes |

### Bibliographical note

Funding Information:* Summary of a talk (given by MM) at the Eighth Workshop on Non-Perturbative Chromodynamics, Paris 7-11 June 2004 t Supported in part by Grant number 193-00 Israel Science Foundation te-mail address: joshua@physics.technion.ac.il § e-mail address: moshe@physics.technion.ac.il ^e-mail address: smolkinm@physics.technion.ac.il "e-mail address: zinn@spht.saclay.cea.fr

## Keywords

- Large N
- Phase Structure
- Quantum Field Theory
- Supersymmetry