Supersymmetric Models for Fermions on a Lattice
نویسنده
چکیده
We investigate the large-N behaviour of simple examples of supersymmetric interactions for fermions on a lattice. Witten’s supersymmetric quantum mechanics and the BCS model appear just as two different aspects of one and the same model. For the BCS model, supersymmetry is only respected in a coherent superposition of Bogoliubov states. In this coherent superposition mesoscopic observables show better stability properties than in a Bogoliubov state. PACS codes: 12.60Pb, 74.20, 74.50.+r ∗ On leave from Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Boul. Tzarigradsko Chaussee 72, 1784 Sofia, Bulgaria E–mail address: [email protected], [email protected] 2
منابع مشابه
Supersymmetric Model of Spin-1/2 Fermions on a Chain
In recent work,N = 2 supersymmetry has been proposed as a tool for the analysis of itinerant, correlated fermions on a lattice. In this paper we extend these considerations to the case of lattice fermions with spin 1/2 . We introduce a model for correlated spin-1/2 fermions with a manifest N = 4 supersymmetry, and analyze its properties. The supersymmetric ground states that we find represent h...
متن کاملLattice models with N=2 supersymmetry.
We introduce lattice models with explicit N=2 supersymmetry. In these interacting models, the supersymmetry generators Q+/- yield the Hamiltonian H=(Q(+),Q(-)) on any graph. The degrees of freedom can be described as either fermions with hard cores, or as quantum dimers; the Hamiltonian of our simplest model contains a hopping term and a repulsive potential. We analyze these models using confor...
متن کاملUprf-2004-25 Predictions and Recent Results in Susy on the Lattice
Non-perturbative studies of supersymmetric gauge theories exhibit many fascinating properties 1 which are of great physical interest . For this reason, much effort has been dedicating to formulating lattice version of supersymmetric theories. See for example 6,7 for recent reviews on the subject at the latest Lattice conferences. While much is know analytically, the hope is that the lattice wou...
متن کاملSupersymmetric T-j Models
In this work, we have studied the invariants of motion of two SU (N) super-symmetric t-J models of 1/r 2 hopping and exchange in one dimension. The first model is defined on a lattice of equal spaced sites, and the second on a non-equal spacing lattice. Using the " exchange operator formalism " , we are able to construct all the invariants for the models, by mapping the systems to mixtures of f...
متن کاملRU-97-84 Vector like gauge theories with almost massless fermions on the lattice.
Vector like gauge theories with almost massless fermions on the lattice. Abstract A truncation of the overlap (domain wall fermions) is studied and a criterion for reliability of the approximation is obtained by comparison to the exact overlap formula describing massless quarks. We also present a truncated version of regularized, pure gauge, supersymmetric models. The mechanism for generating a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005